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0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end %%EndProcSet %%BeginProcSet: hps.pro 0 0 %! /HPSdict 20 dict dup begin/braindeaddistill 50 def/rfch{dup length 1 sub 1 exch getinterval}bind def/splituri{dup(#)search{exch pop}{()exch} ifelse dup(file:)anchorsearch{pop exch pop 3 -1 roll pop false}{pop 3 -1 roll exch pop true}ifelse}bind def/lookuptarget{exch rfch dup /TargetAnchors where{pop TargetAnchors dup 3 -1 roll known{exch get true }{pop(target unknown:)print == false}ifelse}{pop pop (target dictionary unknown\012)print false}ifelse}bind def/savecount 0 def/stackstopped{count counttomark sub/savecount exch store stopped count savecount sub 1 sub dup 0 gt{{exch pop}repeat}{pop}ifelse}bind def /tempstring 128 string def/targetvalidate{1 index dup length 127 gt exch tempstring cvs dup(/)search{pop pop pop exch pop true exch}{pop}ifelse token{pop length 0 ne}{true}ifelse or not}bind def/targetdump-hook where {pop}{/targetdump-hook{dup mark exch gsave initmat setmatrix{{mark/Dest 4 2 roll targetvalidate{aload pop exch pop/Page 3 1 roll/View exch[exch /FitH exch]/DEST pdfmark}{cleartomark}ifelse}forall}stackstopped pop grestore}bind def}ifelse/baseurl{mark exch 1 dict dup 3 -1 roll/Base exch put/URI exch/DOCVIEW{pdfmark}stackstopped pop}bind def /externalhack systemdict/PDF known def/oldstyle true def/initmat matrix currentmatrix def/actiondict 2 dict dup/Subtype/URI put def /weblinkhandler{dup 3 1 roll mark 4 1 roll/Title 4 1 roll splituri 3 -1 roll dup length 0 gt{cvn/Dest exch 4 2 roll}{pop}ifelse{externalhack{ /HTTPFile exch}{actiondict dup 3 -1 roll/URI exch put/Action exch} ifelse}{externalhack{/HTTPFile exch}{/File exch/Action/GoToR}ifelse} ifelse counttomark 2 sub -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll /Color exch oldstyle{/LNK}{/Subtype/Link/ANN}ifelse gsave initmat setmatrix{pdfmark}stackstopped grestore}bind def/externalhandler where{ pop}{/externalhandler{2 copy{weblinkhandler}exec{/externalhack externalhack not store 2 copy{weblinkhandler}exec{/externalhack externalhack not store/oldstyle false store 2 copy{weblinkhandler}exec{ (WARNING: external refs disabled\012)print/externalhandler{pop pop}bind store externalhandler}{pop pop}ifelse}{pop pop/externalhack externalhack not store}ifelse}{pop pop/externalhandler{weblinkhandler pop}bind store} ifelse}bind def}ifelse/pdfmnew{dup type/stringtype eq{externalhandler}{ exch dup rfch exch 3 -1 roll lookuptarget{mark 4 1 roll/Title 4 1 roll aload pop exch pop/Page 3 1 roll/View exch[exch/FitH exch]5 -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll/Color exch/LNK gsave initmat setmatrix pdfmark grestore}{pop pop}ifelse}ifelse}bind def/pdfmold{dup type/stringtype eq{externalhandler}{exch dup rfch exch 3 -1 roll lookuptarget{mark 4 1 roll/Title 4 1 roll aload pop exch pop/Page 3 1 roll/View exch[exch/FitH exch]5 -1 roll aload pop pop 0 3 getinterval /Rect 3 1 roll/Border exch/LNK gsave initmat setmatrix pdfmark grestore} {pop pop}ifelse}ifelse}bind def/pdfm where{pop}{/pdfm /currentdistillerparams where{pop currentdistillerparams dup /CoreDistVersion known{/CoreDistVersion get}{0}ifelse dup braindeaddistill le{(WARNING: switching to old pdfm because version =) print ==/pdfmold}{pop/pdfmnew}ifelse load}{/pdfmark where{pop{dup type /stringtype eq{externalhandler}{2 copy mark 3 1 roll{pdfmnew} stackstopped{2 copy mark 3 1 roll{pdfmold}stackstopped{ (WARNING: pdfm disabled\012)print/pdfm{pop pop}store}{ (WARNING: new pdfm failed, switching to old pdfm\012)print/pdfm/pdfmold load store}ifelse}{/pdfm/pdfmnew load store}ifelse pop pop}ifelse}}{{ pop pop}}ifelse}ifelse bind def}ifelse end def %%EndProcSet TeXDict begin @defspecial systemdict /pdfmark known{userdict /?pdfmark systemdict /exec get put}{userdict /?pdfmark systemdict /pop get put userdict /pdfmark systemdict /cleartomark get put}ifelse /DvipsToPDF{72.27 mul Resolution div} def/PDFToDvips{72.27 div Resolution mul} def/BPToDvips{72 div Resolution mul}def product (Ghostscript) search {pop pop pop revision 927 gt}{pop false} ifelse{/BorderArrayPatch{} def}{/BorderArrayPatch{[exch{dup dup type/integertype eq exch type/realtype eq or{BPToDvips}if}forall]}def} ifelse /HyperBorder {1 PDFToDvips} def/H.V {pdf@hoff pdf@voff null} def/H.B {/Rect[pdf@llx pdf@lly pdf@urx pdf@ury]} def/H.S {currentpoint HyperBorder add /pdf@lly exch def dup DvipsToPDF 72 add /pdf@hoff exch def HyperBorder sub /pdf@llx exch def} def/H.L {2 sub dup/HyperBasePt exch def PDFToDvips /HyperBaseDvips exch def currentpoint HyperBaseDvips sub /pdf@ury exch def/pdf@urx exch def} def/H.A {H.L currentpoint exch pop vsize 72 sub exch DvipsToPDF HyperBasePt sub sub /pdf@voff exch def} def/H.R {currentpoint HyperBorder sub /pdf@ury exch def HyperBorder add /pdf@urx exch def currentpoint exch pop vsize 72 sub exch DvipsToPDF sub /pdf@voff exch def} def @fedspecial end %%BeginFont: NimbusRomNo9L-Medi %!PS-AdobeFont-1.0: NimbusRomNo9L-Medi 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Medium) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Bold) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-Medi def /PaintType 0 def /WMode 0 def /FontBBox {-168 -341 1000 960} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BC2C03103C68570A7B354A4A280AE 6FBF7F9888E039AB60FCAF852EB4CE3AFEB979D5EA70FDE44A2AE5C8C0166C27 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: NimbusRomNo9L-Regu %!PS-AdobeFont-1.0: NimbusRomNo9L-Regu 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Regular) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-Regu def /PaintType 0 def /WMode 0 def /FontBBox {-168 -281 1000 924} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BC2C03103C68570A7B354A4A280AE 6FBF7F9888E039AB60FCAF852EB4CE3AFEB979D5EA70FDE44A2AE5C8C0166C27 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: NimbusRomNo9L-ReguItal %!PS-AdobeFont-1.0: NimbusRomNo9L-ReguItal 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Regular Italic) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Regular) readonly def /ItalicAngle -15.5 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-ReguItal def /PaintType 0 def /WMode 0 def /FontBBox {-169 -270 1010 924} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BC2C03103C68570A7B354A4A280AE 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: NimbusRomNo9L-MediItal %!PS-AdobeFont-1.0: NimbusRomNo9L-MediItal 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Medium Italic) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Bold) readonly def /ItalicAngle -15.3 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-MediItal def /PaintType 0 def /WMode 0 def /FontBBox {-200 -324 996 964} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BC2C03103C68570A7B354A4A280AE 6FBF7F9888E039AB60FCAF852EB4CE3AFEB979D5EA70FDE44A2AE5C8C0166C27 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(analyze)e(the)i(o)o(v)o(erhead)c(in)k(the)f(implemen-)-192 477 y(tation)f(of)g(the)g(CJT)-8 b(-NCJT)40 b(hybrid)c(serving)i(mode.) f(After)h(all)h(the)-192 577 y(APs)d(transfer)f(the)g(statistical)h (channel)e(information)f(to)j(the)f(CPU,)-192 677 y(the)i(CPU)h (determines)e(the)h(UEs')g(serving)f(mode)g(and)g(the)h(po)n(wer)-192 776 y(coef)n(\002cients.)k(Then,)f(the)i(po)n(wer)e(coef)n(\002cient)h (and)g(serving)g(mode)-192 876 y(indication)23 b(are)h(deli)n(v)o(ered) f(from)g(the)h(CPU.)h(It)g(should)e(be)h(noted)g(that)-192 975 y(only)h(an)h(additional)f(1-bit)g(information)e(is)k(required)d (to)i(notify)f(each)-192 1075 y(UE)i(which)g(serving)f(mode)g(to)h (use,)g(which)g(is)g(a)h(v)o(ery)e(small)h(b)n(urden)-192 1175 y(on)h(the)h(system.)-192 1283 y SDict begin H.S end -192 1283 a -192 1283 a SDict begin 12 H.A end -192 1283 a -192 1283 a SDict begin [/View [/XYZ H.V]/Dest (subsection.3.2) cvn /DEST pdfmark end -192 1283 a 88 x Fv(B.)41 b(SE)28 b(Analysis)h(Under)f(the)g(CJT)-6 b(-NCJT)30 b(Hybrid)e(Serving)g(Mode)-109 1505 y FG(In)33 b(this)g(subsection)g (we)g(deri)n(v)o(e)f(the)h(generic)f(SE)i(e)o(xpression)d(of)-192 1605 y(the)36 b(hybrid)e(CJT)-8 b(-NCJT)37 b(serving)e(mode.)f(W)-7 b(e)37 b(\002rst)g(deri)n(v)o(e)d(the)i(SE)-192 1705 y(e)o(xpression)19 b(for)h(the)h(UEs)g(in)g(the)g(CJT)g(serving)f(mode) g(group.)e(F)o(or)j(the)-192 1804 y(UE)31 b FA(i)c FF(2)h(G)143 1774 y Fx(coh)247 1804 y FG(,)j(the)f(APs)i(in)f(the)g(set)h FF(M)1054 1816 y Fy(i)1112 1804 y FG(synchronously)c(transmit)-192 1904 y(the)34 b(same)h(data)f FA(x)370 1916 y Fy(i)433 1904 y FG(to)g(the)g(UE.)g(F)o(or)g(the)g FA(s)p FG(-th)g(UE)h(serv)o (ed)e(by)h(the)-192 2004 y(NCJT)41 b(serving)e(mode,)g(each)h(AP)g FA(m)45 b FF(2)g(M)1235 2016 y Fy(s)1311 2004 y FG(transmits)40 b(symbol)-192 2103 y FA(x)-145 2115 y Fy(m;s)-30 2103 y FG(.)28 b(Then,)e(the)i(recei)n(v)o(ed)e(signal)h(at)h(UE)g FA(i)g FG(with)g(the)f(CJT)i(serving)-192 2203 y(mode)f(can)g(be)g(gi)n (v)o(en)f(by)-192 2531 y SDict begin H.S end -192 2531 a -192 2531 a SDict begin 12 H.A end -192 2531 a -192 2531 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.5) cvn /DEST pdfmark end -192 2531 a -176 x Fo(y)-151 2319 y Fn(coh)-154 2368 y Fm(i)-47 2355 y Fl(=)36 2284 y Fk(X)-4 2443 y Fm(m)p Fj(2M)163 2463 y Fq(i)163 2305 y Fk(p)p 240 2305 139 4 v 50 x Fo(p)279 2375 y Fm(m;i)378 2355 y Fi(h)427 2319 y Fm(H)427 2368 y(m;i)527 2355 y Fi(w)591 2368 y Fm(m;i)691 2355 y Fo(x)735 2368 y Fm(i)765 2355 y Fl(+)878 2284 y Fk(X)826 2456 y Fq(i)848 2432 y Fh(0)875 2456 y(2G)951 2444 y Ft(coh)826 2515 y Fq(i)848 2491 y Fh(0)875 2515 y(6)p Ft(=)p Fq(i)1103 2284 y Fk(X)1050 2443 y Fm(m)p Fj(2M)1217 2471 y Fq(i)1239 2459 y Fh(0)1240 2307 y Fk(p)p 1317 2307 161 4 v 48 x Fo(p)1356 2380 y Fm(m;i)1451 2366 y Fh(0)1478 2355 y Fi(h)1527 2319 y Fm(H)1527 2368 y(m;i)1627 2355 y Fi(w)1691 2369 y Fm(m;i)1786 2355 y Fh(0)9 b Fo(x)1857 2369 y Fm(i)1879 2355 y Fh(0)-39 2635 y Fl(+)68 2564 y Fk(X)38 2723 y Fm(s)p Fj(2G)149 2709 y Ft(nc)266 2564 y Fk(X)222 2723 y Fm(m)p Fj(2M)389 2739 y Fq(s)395 2589 y Fg(p)p 459 2589 146 4 v 46 x Fo(p)498 2648 y Fm(m;s)605 2635 y Fi(h)654 2599 y Fm(H)654 2648 y(m;i)753 2635 y Fi(w)817 2648 y Fm(m;s)924 2635 y Fo(x)968 2648 y Fm(m;s)1091 2635 y Fl(+)17 b Fo(n)1214 2648 y Fm(i)1241 2635 y Fo(;)1813 2798 y Ff(\(5\))-192 2898 y FG(where)40 b Fe(E)115 2838 y Fk(\002)147 2898 y Fg(j)p Fo(x)212 2906 y Fm(i)238 2898 y Fg(j)259 2863 y Fn(2)294 2838 y Fk(\003)368 2898 y Fl(=)j Fe(E)533 2838 y Fk(\002)565 2898 y Fg(j)q Fo(x)631 2906 y Fm(m;s)737 2898 y Fg(j)758 2863 y Fn(2)793 2838 y Fk(\003)867 2898 y Fl(=)f(1)p FG(,)g(and)e FA(p)1273 2910 y Fy(m;i)1421 2898 y FG(represents)g(the) -192 2998 y(po)n(wer)24 b(coef)n(\002cients)g(allocated)g(by)g(the)h FA(m)p FG(-th)g(AP)g(to)g(UE)g FA(i)p FG(.)g(A)g(lo)n(wer)-192 3097 y(bound)39 b(on)i(the)h(er)o(godic)d(capacity)-5 b(,)40 b(i.e.,)h(an)g(achie)n(v)n(able)e(SE,)j(can)-192 3197 y(be)28 b(calculated)f(by)g(using)g(the)h(hardening)d(bounding)g (technique)i([)1811 3197 y SDict begin H.S end 1811 3197 a 0 TeXcolorgray FG(4)p 0 TeXcolorgray 1852 3140 a SDict begin H.R end 1852 3140 a 1852 3197 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (cite.cell-free\040book) cvn H.B /ANN pdfmark end 1852 3197 a FG(],)-192 3297 y([)-164 3298 y SDict begin H.S end -164 3298 a 0 TeXcolorgray -1 x FG(17)p 0 TeXcolorgray -81 3240 a SDict begin H.R end -81 3240 a -81 3297 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (cite.hardening\040bound) cvn H.B /ANN pdfmark end -81 3297 a FG(],)22 b(where)g(the)h(lar)o (ge-scale)e(f)o(ading)h(is)h(used)f(to)h(decode)e(the)i(signal.)-192 3396 y(The)36 b(hardening)e(bound)h(for)h(the)g FA(i)p FG(-th)g(CJT)i(serving)d(mode)h(UE)h(is)-192 3496 y(gi)n(v)o(en)g(by)h FA(r)189 3466 y Fx(coh)187 3517 y Fy(i)334 3496 y Fz(=)j FA(\034)476 3508 y Fy(d)515 3496 y Fz(/)p FA(\034)593 3508 y Fy(c)627 3496 y Fz(log)734 3516 y Fx(2)785 3429 y Fp(\000)823 3496 y Fz(1)18 b(+)g FA(\015)1014 3466 y Fx(coh)1009 3517 y Fy(i)1117 3429 y Fp(\001)1155 3496 y FG(,)39 b(where)f FA(\015)1505 3466 y Fx(coh)1500 3517 y Fy(i)1647 3496 y FG(denotes)-192 3595 y(the)27 b(ef)n(fecti)n(v)o(e)e (signal-interference-noise-ratio)d(\(SINR\))27 b(of)f(the)h FA(i)p FG(-th)-192 3695 y(UE)i(and)f(can)g(be)g(e)o(xpressed)g(as)32 3850 y SDict begin H.S end 32 3850 a 32 3850 a SDict begin 12 H.A end 32 3850 a 32 3850 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.6) cvn /DEST pdfmark end 32 3850 a FA(\015)80 3815 y Fx(coh)75 3870 y Fy(i)206 3850 y Fz(=)294 3779 y Fp(\014)294 3829 y(\014)321 3850 y Fz(D)384 3815 y Fx(coh)384 3870 y Fy(i)488 3779 y Fp(\014)488 3829 y(\014)516 3796 y Fx(2)553 3757 y Fp(.\020)670 3850 y Fz(F)724 3815 y Fx(coh)724 3870 y Fy(i)846 3850 y FF(\000)929 3779 y Fp(\014)929 3829 y(\014)957 3850 y Fz(D)1020 3815 y Fx(coh)1020 3870 y Fy(i)1124 3779 y Fp(\014)1124 3829 y(\014)1151 3796 y Fx(2)1207 3850 y Fz(+)18 b(F)1344 3815 y Fx(nc)1344 3870 y Fy(i)1433 3850 y Fz(+)g FA(\033)1566 3815 y Fx(2)1563 3870 y Fy(i)1604 3757 y Fp(\021)1653 3850 y FA(;)127 b FG(\(6\))-192 4001 y(where)174 4142 y SDict begin H.S end 174 4142 a 174 4142 a SDict begin 12 H.A end 174 4142 a 174 4142 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.7) cvn /DEST pdfmark end 174 4142 a Fz(D)237 4108 y Fx(coh)237 4163 y Fy(i)364 4142 y Fz(=)452 4063 y Fp(X)572 4192 y Fy(m)p Fr(2M)754 4200 y Fq(i)798 4142 y Fs(E)861 4050 y Fp(h)906 4087 y(p)p 989 4087 149 4 v 55 x FA(p)1031 4165 y Fy(m;i)1137 4142 y Fw(h)1190 4108 y Fy(H)1190 4163 y(m;i)1296 4142 y Fw(w)1365 4163 y Fy(m;i)1472 4050 y Fp(i)1511 4142 y FA(;)269 b FG(\(7\))-139 4413 y SDict begin H.S end -139 4413 a -139 4413 a SDict begin 12 H.A end -139 4413 a -139 4413 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.8) cvn /DEST pdfmark end -139 4413 a Fz(F)-85 4379 y Fx(coh)-85 4434 y Fy(i)42 4413 y Fz(=)129 4334 y Fp(X)249 4463 y Fy(i)272 4446 y Fh(0)295 4463 y Fr(2G)383 4446 y Ft(coh)490 4413 y Fs(E)553 4271 y Fp(")608 4293 y(\014)608 4343 y(\014)608 4392 y(\014)608 4442 y(\014)635 4334 y(X)755 4463 y Fy(m)p Fr(2M)937 4489 y Fq(i)959 4477 y Fh(0)1004 4359 y Fp(p)p 1087 4359 171 4 v 54 x FA(p)1129 4437 y Fy(m;i)1231 4421 y Fh(0)1257 4413 y Fw(h)1310 4379 y Fy(H)1310 4434 y(m;i)1416 4413 y Fw(w)1485 4434 y Fy(m;i)1587 4417 y Fh(0)1614 4293 y Fp(\014)1614 4343 y(\014)1614 4392 y(\014)1614 4442 y(\014)1642 4313 y Fx(2)1679 4271 y Fp(#)1727 4413 y FA(;)53 b FG(\(8\))-107 4643 y SDict begin H.S end -107 4643 a -107 4643 a SDict begin 12 H.A end -107 4643 a -107 4643 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.9) cvn /DEST pdfmark end -107 4643 a Fz(F)-53 4608 y Fx(nc)-53 4663 y Fy(i)41 4643 y Fz(=)128 4564 y Fp(X)248 4692 y Fy(s)279 4676 y Fh(0)302 4692 y Fr(2G)390 4676 y Ft(nc)469 4564 y Fp(X)589 4692 y Fy(m)p Fr(2M)771 4719 y Fq(s)799 4707 y Fh(0)843 4643 y Fs(E)906 4551 y Fp(h)951 4572 y(\014)951 4622 y(\014)979 4591 y FF(p)p 1048 4591 179 4 v 52 x FA(p)1090 4655 y Fy(m;s)1200 4639 y Fh(0)1226 4643 y Fw(h)1279 4608 y Fy(H)1279 4663 y(m;i)1386 4643 y Fw(w)1455 4663 y Fy(m;s)1565 4647 y Fh(0)1591 4572 y Fp(\014)1591 4622 y(\014)1619 4589 y Fx(2)1656 4551 y Fp(i)1695 4643 y FA(:)85 b FG(\(9\))-192 4848 y(In)27 b(\(6\),)50 4777 y Fp(\014)50 4827 y(\014)78 4848 y Fz(D)141 4818 y Fx(coh)141 4869 y Fy(i)244 4777 y Fp(\014)244 4827 y(\014)272 4798 y Fx(2)309 4848 y FG(,)h Fz(F)412 4818 y Fx(coh)412 4869 y Fy(i)531 4848 y FF(\000)15 b Fz(D)674 4818 y Fx(coh)674 4869 y Fy(i)778 4848 y FG(,)27 b Fz(F)880 4818 y Fx(nc)880 4869 y Fy(i)978 4848 y FG(and)g FA(\033)1176 4818 y Fx(2)1173 4869 y Fy(i)1241 4848 y FG(represent)f(the)h(signal)-192 4947 y(gain,)44 b(the)h(sum)h(of)f (the)g(interference)e(from)h(CJT)i(UEs)g(and)f(the)-192 5047 y(channel)32 b(gain)g(uncertain)f(of)h(the)h FA(i)p FG(-th)f(UE,)h(the)g(interference)e(from)-192 5147 y(NCJT)e(UEs,)g(and) f(noise)g(po)n(wer)g(of)g(the)h FA(i)p FG(-th)f(UE,)g(respecti)n(v)o (ely)-5 b(.)-109 5253 y(Then,)25 b(we)g(deri)n(v)o(e)g(the)g(hardening) e(bound)h(for)h(the)g(NCJT)i(serving)-192 5352 y(mode)e(UEs.)h(The)f (recei)n(v)o(ed)f(signal)h(of)h(UE)g FA(s)g FG(with)g(the)f(NCJT)i (mode)p 0 TeXcolorgray 0 TeXcolorgray 2000 -127 a(can)h(be)h(e)o (xpressed)e(as)2000 203 y SDict begin H.S end 2000 203 a 2000 203 a SDict begin 12 H.A end 2000 203 a 2000 203 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.10) cvn /DEST pdfmark end 2000 203 a -178 x Fo(y)2041 -11 y Fn(nc)2038 39 y Fm(s)2101 25 y Fl(=)2162 -46 y Fk(X)2118 113 y Fm(m)p Fj(2M)2285 130 y Fq(s)2253 -21 y Fg(p)p 2317 -21 146 4 v 46 x Fo(p)2356 38 y Fm(m;s)2462 25 y Fi(h)2511 -11 y Fm(H)2511 39 y(m;s)2618 25 y Fi(w)2682 38 y Fm(m;s)2789 25 y Fo(x)2833 38 y Fm(m;s)2943 25 y Fl(+)3019 -46 y Fk(X)2979 126 y Fq(s)3007 102 y Fh(0)3033 126 y(2G)3109 114 y Ft(nc)2979 185 y Fq(s)3007 161 y Fh(0)3033 185 y(6)p Ft(=)p Fq(s)3236 -46 y Fk(X)3180 113 y Fm(m)p Fj(2M)3347 141 y Fq(s)3375 129 y Fh(0)3338 -23 y Fk(p)p 3415 -23 168 4 v 48 x Fo(p)3454 50 y Fm(m;s)3556 36 y Fh(0)3582 25 y Fi(h)3631 -11 y Fm(H)3631 39 y(m;s)3738 25 y Fi(w)3802 39 y Fm(m;s)3904 25 y Fh(0)9 b Fo(x)3975 39 y Fm(m;s)4077 25 y Fh(0)2122 305 y Fl(+)2240 234 y Fk(X)2199 402 y Fm(i)p Fj(2G)2303 388 y Ft(coh)2446 234 y Fk(X)2405 393 y Fm(m)p Fj(2M)2572 413 y Fq(i)2547 255 y Fk(p)p 2624 255 139 4 v 50 x Fo(p)2663 325 y Fm(m;i)2762 305 y Fi(h)2811 269 y Fm(H)2811 318 y(m;s)2918 305 y Fi(w)2982 318 y Fm(m;i)3081 305 y Fo(x)3125 318 y Fm(i)3168 305 y Fl(+)17 b Fo(n)3291 318 y Fm(s)3325 305 y Fo(:)3967 472 y Ff(\(10\))2000 555 y FG(Based)32 b(on)f([)2378 555 y SDict begin H.S end 2378 555 a 0 TeXcolorgray FG(14)p 0 TeXcolorgray 2461 499 a SDict begin H.R end 2461 499 a 2461 555 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (cite.NCJT\040and\040CJT\040compare2) cvn H.B /ANN pdfmark end 2461 555 a FG(],)g([)2569 556 y SDict begin H.S end 2569 556 a 0 TeXcolorgray -1 x FG(17)p 0 TeXcolorgray 2652 499 a SDict begin H.R end 2652 499 a 2652 555 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (cite.hardening\040bound) cvn H.B /ANN pdfmark end 2652 555 a FG(],)h(the)f(hardening)e(bound)h FA(r)3509 525 y Fx(nc)3507 576 y Fy(m;s)3654 555 y FG(for)h FA(x)3830 567 y Fy(m;s)3977 555 y FG(can)2000 658 y(be)21 b(gi)n(v)o(en)f(by)h FA(r)2447 627 y Fx(nc)2445 678 y Fy(m;s)2583 658 y Fz(=)i FA(\034)2707 670 y Fy(d)2746 658 y Fz(/)o FA(\034)2823 670 y Fy(c)2857 658 y Fz(log)2964 678 y Fx(2)3016 590 y Fp(\000)3054 658 y Fz(1)18 b(+)g FA(\015)3245 627 y Fx(nc)3240 678 y Fy(m;s)3354 590 y Fp(\001)3392 658 y FG(,)j(where)g FA(\015)3707 627 y Fx(n)3702 678 y Fy(m;s)3838 658 y FG(denotes)2000 746 y(the)28 b(ef)n(fecti)n(v)o(e)f(SINR)j(and)e (is)h(gi)n(v)o(en)e(by)2095 906 y SDict begin H.S end 2095 906 a 2095 906 a SDict begin 10 H.A end 2095 906 a 2095 906 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.11) cvn /DEST pdfmark end 2095 906 a Fo(\015)2139 870 y Fn(nc)2135 919 y Fm(m;s)2263 906 y Fl(=)2344 842 y Fk(\014)2344 887 y(\014)2370 906 y Fl(D)2429 870 y Fn(nc)2429 919 y Fm(m;s)2535 842 y Fk(\014)2535 887 y(\014)2560 863 y Fn(2)2595 823 y Fk(.\020)2703 906 y Fl(F)2753 870 y Fn(coh)2753 919 y Fm(s)2866 906 y Fl(+)17 b(F)2993 870 y Fn(nc)2993 919 y Fm(s)3075 906 y Fg(\000)3152 835 y Fk(X)3263 848 y Fm(m)3263 951 y(n)p Fn(=1)3395 842 y Fk(\014)3395 887 y(\014)3420 906 y Fl(D)3479 870 y Fn(nc)3479 919 y Fm(n;s)3570 842 y Fk(\014)3570 887 y(\014)3595 863 y Fn(2)3647 906 y Fl(+)g Fo(\033)3771 870 y Fn(2)3768 919 y Fm(s)3805 823 y Fk(\021)3851 906 y Fo(;)95 b Ff(\(11\))2000 1081 y FG(where)62 b Fl(D)2325 1049 y Fn(nc)2325 1094 y Fm(m;s)2512 1081 y Fl(=)80 b Fe(E)2715 1021 y Fk(\002)2747 1039 y Fg(p)p 2811 1039 146 4 v 42 x Fo(p)2850 1094 y Fm(m;s)2956 1081 y Fi(h)3005 1049 y Fm(H)3005 1094 y(m;s)3112 1081 y Fi(w)3176 1094 y Fm(m;s)3283 1021 y Fk(\003)3327 1081 y Fo(:)58 b FG(Here,)63 b Fz(D)3715 1051 y Fx(nc)3715 1102 y Fy(m;s)3829 1081 y FG(,)h Fz(F)3968 1051 y Fx(coh)3968 1102 y Fy(s)4071 1081 y FG(,)2000 1200 y Fz(F)2054 1170 y Fx(nc)2054 1221 y Fy(s)2143 1200 y FF(\000)2226 1138 y Fp(P)2313 1159 y Fy(m)2313 1225 y(n)p Fx(=1)2457 1130 y Fp(\014)2457 1180 y(\014)2484 1200 y Fz(D)2547 1170 y Fx(nc)2547 1221 y Fy(n;s)2644 1130 y Fp(\014)2644 1180 y(\014)2672 1150 y Fx(2)2738 1200 y FG(and)28 b FA(\033)2937 1170 y Fx(2)2934 1221 y Fy(s)3003 1200 y FG(stand)h(for)e(the)i(signal) f(gain)g(of)g FA(s)p FG(-th)2000 1300 y(UE,)18 b(the)h(interference)e (from)g(CJT)j(UEs,)f(the)g(sum)f(of)h(the)g(interference)2000 1400 y(from)g(NCJT)h(UEs)h(and)e(the)h(channel)f(gain)g(uncertain)f(of) i(the)g FA(s)p FG(-th)g(UE,)2000 1499 y(and)30 b(noise)g(po)n(wer)f(of) h(the)h FA(s)p FG(-th)f(UE,)g(respecti)n(v)o(ely)-5 b(.)28 b(Thus,)i(the)g(total)2000 1599 y(achie)n(v)n(able)d(SE)i(of)f(UE)h FA(s)g FG(is)g(gi)n(v)o(en)e(by)h FA(r)3257 1569 y Fx(nc)3255 1619 y Fy(s)3351 1599 y Fz(=)3439 1537 y Fp(P)3527 1624 y Fy(m)p Fr(2M)3709 1632 y Fq(s)3758 1599 y FA(r)3797 1569 y Fx(nc)3795 1619 y Fy(m;s)3910 1599 y FG(.)2083 1696 y(Based)j(on)g([)2460 1696 y SDict begin H.S end 2460 1696 a 0 TeXcolorgray FG(14)p 0 TeXcolorgray 2542 1640 a SDict begin H.R end 2542 1640 a 2542 1696 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (cite.NCJT\040and\040CJT\040compare2) cvn H.B /ANN pdfmark end 2542 1696 a FG(],)g(the)g(fronthaul)e(consumption)g(of)h(AP)i FA(m)f FG(in)h(the)2000 1796 y(CJT)-8 b(-NCJT)30 b(hybrid)c(serving)h (mode)h(can)g(be)h(calculated)e(as)2183 1957 y SDict begin H.S end 2183 1957 a 2183 1957 a SDict begin 12 H.A end 2183 1957 a 2183 1957 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.12) cvn /DEST pdfmark end 2183 1957 a FA(C)2242 1969 y Fy(m)2329 1957 y Fz(=)2417 1878 y Fp(X)2536 2007 y Fy(i)p Fr(2G)2647 1991 y Ft(coh)2737 2007 y Fr(\\K)2833 2015 y Fq(m)2905 1957 y FA(r)2944 1923 y Fx(coh)2942 1978 y Fy(i)3049 1957 y Fz(+)3127 1878 y Fp(X)3247 2007 y Fy(s)p Fr(2G)3366 1991 y Ft(nc)3427 2007 y Fr(\\K)3523 2015 y Fq(m)3595 1957 y FA(r)3634 1923 y Fx(nc)3632 1978 y Fy(m;s)3747 1957 y FA(;)184 b FG(\(12\))2000 2128 y(which)26 b(is)i(the)f(sum)g(of)g(the)g(fronthaul)d(consumption)h(of)i(the)g (serving)2000 2228 y(CJT)i(UEs)g(and)f(NCJT)i(UEs.)2000 2275 y SDict begin H.S end 2000 2275 a 2000 2275 a SDict begin 12 H.A end 2000 2275 a 2000 2275 a SDict begin [/View [/XYZ H.V]/Dest (section.4) cvn /DEST pdfmark end 2000 2275 a 2209 2371 a FG(I)t(V)-7 b(.)45 b(F)t FC(R)q(O)t(N)t(T)t (H)t(AU)t(L)26 b FG(C)t FC(A)t(P)n(A)q(C)t(I)t(T)t(Y)l FG(-)t(A)m FC(W)l(A)t(R)t(E)g FG(R)t FC(E)t(S)t(O)t(U)t(R)t(C)t(E)2811 2471 y FG(A)t FC(L)t(L)t(O)t(C)t(A)m(T)t(I)t(O)t(N)2083 2595 y FG(T)-7 b(o)48 b(e)o(xplore)d(the)j(performance)d(potential)h (of)i(the)f(CJT)-8 b(-NCJT)2000 2694 y(hybrid)36 b(serving)h(mode,)g (we)h(design)g(a)h(fronthaul)d(capacity-a)o(w)o(are)2000 2794 y(resource)31 b(allocation)g(scheme)g(in)i(this)f(section.)g (First,)h(we)f(propose)2000 2893 y(a)51 b(random)e(serving)g(mode)h (allocation)f(scheme)h(to)h(reduce)f(the)2000 2993 y(comple)o(xity)-5 b(.)34 b(Then,)h(a)j(SCA-based)e(po)n(wer)g(allocation)f(scheme)i(is) 2000 3093 y(designed)f(to)h(optimize)g(the)g(sum-rate)f(of)h(the)h (cell-free)e(mMIMO)2000 3192 y(system)29 b(with)f(limited)h(fronthauls) d(under)h(a)i(gi)n(v)o(en)e(serving)h(mode.)2000 3256 y SDict begin H.S end 2000 3256 a 2000 3256 a SDict begin 12 H.A end 2000 3256 a 2000 3256 a SDict begin [/View [/XYZ H.V]/Dest (subsection.4.1) cvn /DEST pdfmark end 2000 3256 a 80 x Fv(A.)41 b(Random)27 b(Serving)g(Mode)h(Allocation)2083 3459 y FG(Recall)44 b(that)g(the)g(CJT)g(and)f(NCJT)i(serving)d(modes)h (ha)n(v)o(e)h(the)2000 3559 y(merits)24 b(of)g(coherent)f(cooperation)e (gain)i(among)g(APs)i(and)f(lo)n(w)g(fron-)2000 3659 y(thaul)29 b(consumption,)e(respecti)n(v)o(ely)-5 b(.)28 b(When)i(the)g(fronthaul)d(capacity)2000 3758 y(is)46 b(suf)n(\002cient)f(or)g(e)n(v)o(en)f(unlimited,)g(the)h(system)g(can)g (obtain)g(the)2000 3858 y(maximum)38 b(coherent)h(cooperation)e(gain)j (when)f(all)i(UEs)g(operate)2000 3958 y(on)51 b(the)h(CJT)g(serving)f (mode.)f(Ho)n(we)n(v)o(er)m(,)g(when)h(the)h(fronthaul)2000 4057 y(capacity)39 b(is)i(limited,)e(the)h(constraint)f(of)h(the)g (fronthaul)d(capacity)2000 4157 y(will)25 b(limit)g(the)g(coherent)e (cooperation)f(gain)i(of)g(CJT)i(serving)e(mode,)2000 4256 y(and)41 b(the)h(achie)n(v)n(able)e(SE)i(of)f(the)h(system)g(will) g(decrease)f(due)g(to)2000 4356 y(the)32 b(great)g(fronthaul)f (consumption)e(when)j(all)h(UEs)g(e)o(x)o(ecutes)f(CJT)2000 4456 y(serving)e(mode.)g(In)h(response)f(to)i(this)g(situation,)e(the)h (adv)n(antage)f(of)2000 4555 y(NCJT')-5 b(s)34 b(much)d(lo)n(wer)i (fronthaul)d(consumption)g(can)j(be)f(e)o(xploited)2000 4655 y(to)h(impro)o(v)o(e)f(the)h(performance)d(of)j(the)h(system)f(by) g(increasing)g(the)2000 4755 y(proportion)22 b(of)j(NCJT)i(UEs)f(in)f (the)g(hybrid)f(serving)g(mode.)g(In)h(other)2000 4854 y(w)o(ords,)32 b(there)h(e)o(xists)h(a)f(trade-of)n(f)e(between)h (coherent)g(cooperation)2000 4954 y(gain)26 b(and)g(the)i(fronthaul)d (capacity)h(consumption.)e(Speci\002cally)-5 b(,)26 b(for)2000 5053 y(a)20 b(gi)n(v)o(en)f(fronthaul)f(capacity)i(v)n(alue,)f(the)h (proportion)d(of)j(UEs)h(operate)2000 5153 y(on)d(CJT)i(serving)e(mode) g(determines)g(the)h(coherent)e(cooperation)f(gain)2000 5253 y(and)28 b(the)g(proportion)e(of)i(NCJT)h(UEs)g(mainly)f(adapts)g (the)h(fronthaul)2000 5352 y(consumption)d(to)i(satisfy)h(the)g (fronthaul)d(constraint.)p 0 TeXcolorgray 0 TeXcolorgray eop end end %%Page: 4 4 TeXDict begin HPSdict begin 4 3 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a -200 -507 a SDict begin H.S end -200 -507 a -200 -507 a SDict begin H.R end -200 -507 a -200 -507 a SDict begin [/View [/XYZ H.V]/Dest (page.4) cvn /DEST pdfmark end -200 -507 a 0 TeXcolorgray 0 TeXcolorgray -109 -145 a FG(Since)46 b(there)g(e)o(xists)h(mutual)e(coupling)f (between)i(the)g(serving)-192 -45 y(mode)23 b(and)h(the)g(po)n(wer)f (coef)n(\002cients,)g(the)i(fronthaul)d(capacity-a)o(w)o(are)-192 54 y(resource)31 b(allocation)h(problem)f(is)j(a)f(mix)o(ed-inte)o(ger) c(programming)-192 154 y(problem,)44 b(which)h(is)h(challenging)e(to)i (be)g(solv)o(ed.)e(F)o(or)h(practical)-192 253 y(applications,)29 b(the)h(serving)f(mode)g(allocation)g(scheme)g(is)i(e)o(xpected)-192 353 y(to)d(be)g(implemented)e(with)i(lo)n(w)g(comple)o(xity)e(and)h(o)o (v)o(erhead.)e(Based)-192 453 y(on)h(the)h(abo)o(v)o(e)e(analysis)h (and)h(from)e(the)i(perspecti)n(v)o(e)e(of)h(the)h(holistic)-192 552 y(performance)k(of)j(the)g(system,)g(we)h(can)f(di)n(vide)f(the)h (proportion)d(of)-192 652 y(UEs)i(e)o(x)o(ecuting)e(CJT)j(serving)e (mode)g(or)g(NCJT)i(serving)e(mode)g(to)-192 752 y(achie)n(v)o(e)j(the) g(trade-of)n(f)f(between)h(the)g(coherent)f(cooperation)g(gain)-192 851 y(and)i(the)g(fronthaul)f(consumption.)e(Therefore,)h(we)j(design)f (a)h(lo)n(w)-192 951 y(comple)o(xity)23 b(probability-based)f(random)h (serving)i(mode)f(allocation)-192 1050 y(method,)32 b(where)g(the)i (probability)d(of)i(a)h(UE)g(being)e(allocated)h(with)-192 1150 y(the)27 b(CJT)g(serving)f(mode)g(is)h FA(p)p FG(,)g(and)f(the)h (corresponding)c(probability)-192 1250 y(of)47 b(this)h(UE)g(being)e (allocated)h(with)h(the)f(NCJT)h(serving)f(mode)-192 1349 y(is)40 b Fz(1)27 b FF(\000)f FA(p)p FG(.)39 b(According)f(to)h (the)h(system)f(parameters,)f(such)i(as)g(the)-192 1449 y(fronthaul)31 b(capacity)-5 b(,)31 b(we)i(can)f(determine)f(the)i (optimal)f(probability)-192 1549 y FA(p)f FG(by)f(tra)n(v)o(ersing)g(o) o(v)o(er)f(the)i(v)n(alues)f(of)h(the)f(probability)f FA(p)p FG(.)i(When)f FA(p)-192 1648 y FG(is)f(gi)n(v)o(en,)e(we)i(can)g (easily)f(obtain)g(the)g(serving)g(sets)i FF(G)1465 1618 y Fx(coh)1597 1648 y FG(and)e FF(G)1800 1618 y Fx(nc)1871 1648 y FG(.)-192 1894 y SDict begin H.S end -192 1894 a -192 1894 a SDict begin 12 H.A end -192 1894 a -192 1894 a SDict begin [/View [/XYZ H.V]/Dest (subsection.4.2) cvn /DEST pdfmark end -192 1894 a 106 x Fv(B.)41 b(P)-7 b(ower)29 b(Allocation)e(with)i(Given)g(Serving)e(Mode)-109 2198 y FG(In)41 b(this)g(subsection,)f(we)i(aim)f(to)g(maximize)f(the)h (sum-rate)f(of)-192 2298 y(the)46 b(system)h(with)f(a)h(gi)n(v)o(en)e (serving)g(mode)g(by)h(optimizing)f(the)-192 2398 y(po)n(wer)35 b(coef)n(\002cients.)f(The)i(sum-rate)e(maximization)g(problem)g(can) -192 2497 y(be)28 b(formulated)f(as)407 2497 y SDict begin H.S end 407 2497 a 407 2497 a SDict begin 12 H.A end 407 2497 a 407 2497 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.13) cvn /DEST pdfmark end 407 2497 a 38 2618 a Fz(max)90 2672 y Fd(P)330 2539 y Fp(X)289 2723 y Fy(i)p Fr(2G)400 2706 y Ft(coh)504 2618 y FA(r)543 2584 y Fx(coh)541 2639 y Fy(i)665 2618 y Fz(+)778 2539 y Fp(X)748 2717 y Fy(s)p Fr(2G)867 2701 y Ft(nc)989 2539 y Fp(X)942 2717 y Fy(m)p Fr(2M)1124 2725 y Fq(s)1170 2618 y FA(r)1209 2584 y Fx(nc)1207 2639 y Fy(m;s)1725 2618 y SDict begin H.S end 1725 2618 a 1725 2618 a SDict begin 15 H.A end 1725 2618 a 1725 2618 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.13a) cvn /DEST pdfmark end 1725 2618 a FG(\(13a\))81 2849 y Fz(s)p FA(:)p Fz(t)p FA(:)337 2770 y Fp(X)289 2949 y Fy(k)q Fr(2M)448 2957 y Fq(m)518 2849 y FA(p)560 2870 y Fy(m;k)702 2849 y FF(\024)c FA(P)855 2815 y Fx(max)843 2870 y Fy(m)1147 2849 y FF(8)p FA(m)f FF(2)i(M)p FA(;)1720 2849 y SDict begin H.S end 1720 2849 a 1720 2849 a SDict begin 15 H.A end 1720 2849 a 1720 2849 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.13b) cvn /DEST pdfmark end 1720 2849 a FG(\(13b\))275 3060 y FA(C)334 3072 y Fy(m)421 3060 y FF(\024)f FA(C)574 3026 y Fx(max)568 3081 y Fy(m)784 3060 y FF(8)p FA(m)f FF(2)h(M)p FA(;)14 b(;)1725 3060 y SDict begin H.S end 1725 3060 a 1725 3060 a SDict begin 15 H.A end 1725 3060 a 1725 3060 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.13c) cvn /DEST pdfmark end 1725 3060 a FG(\(13c\))275 3185 y FA(p)317 3197 y Fy(m;k)460 3185 y Fz(=)22 b(0)p FA(;)14 b FF(8)p FA(k)25 b FF(2)e(K)q FA(;)14 b FF(8)p FA(m)32 b(=)-51 b FF(2)23 b(M)1241 3197 y Fy(k)1282 3185 y FA(;)14 b(;)1720 3185 y SDict begin H.S end 1720 3185 a 1720 3185 a SDict begin 15 H.A end 1720 3185 a 1720 3185 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.13d) cvn /DEST pdfmark end 1720 3185 a FG(\(13d\))-192 3340 y(in)39 b(which)g(matrix)f Fw(P)i FG(collects)g(all)f(the)h(po)n (wer)e(coef)n(\002cients)g FA(p)1781 3352 y Fy(m;k)-192 3440 y FG(and)i(the)g(optimal)f(po)n(wer)g(coef)n(\002cient)g(can)h(be) g(obtained)f(through)-192 3540 y(solving)46 b(\()128 3541 y SDict begin H.S end 128 3541 a 0 TeXcolorgray -1 x FG(13)p 0 TeXcolorgray 211 3483 a SDict begin H.R end 211 3483 a 211 3540 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13) cvn H.B /ANN pdfmark end 211 3540 a FG(\).)h(In)g(\()452 3541 y SDict begin H.S end 452 3541 a 0 TeXcolorgray -1 x FG(13)p 0 TeXcolorgray 534 3483 a SDict begin H.R end 534 3483 a 534 3540 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13) cvn H.B /ANN pdfmark end 534 3540 a FG(\),)h(the)f(constraints) f(\()1215 3541 y SDict begin H.S end 1215 3541 a 0 TeXcolorgray -1 x FG(13b)p 0 TeXcolorgray 1339 3483 a SDict begin H.R end 1339 3483 a 1339 3540 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13b) cvn H.B /ANN pdfmark end 1339 3540 a FG(\))p FF(\030)p FG(\()1460 3541 y SDict begin H.S end 1460 3541 a 0 TeXcolorgray -1 x FG(13d)p 0 TeXcolorgray 1584 3483 a SDict begin H.R end 1584 3483 a 1584 3540 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13d) cvn H.B /ANN pdfmark end 1584 3540 a FG(\))h(can)g(be)-192 3639 y(e)o(xplained)26 b(as)i(follo)n(ws:)f(\()581 3640 y SDict begin H.S end 581 3640 a 0 TeXcolorgray -1 x FG(13b)p 0 TeXcolorgray 705 3583 a SDict begin H.R end 705 3583 a 705 3639 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13b) cvn H.B /ANN pdfmark end 705 3639 a FG(\))h(is)h(the)e(maximum) f(po)n(wer)h(constraint)-192 3739 y(of)e(AP)i FA(m)p FG(;)f(\()186 3740 y SDict begin H.S end 186 3740 a 0 TeXcolorgray -1 x FG(13c)p 0 TeXcolorgray 305 3682 a SDict begin H.R end 305 3682 a 305 3739 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13c) cvn H.B /ANN pdfmark end 305 3739 a FG(\))g(ensures)g(that)f(the)h(fronthaul)e(consumption)f(of)i(AP)-192 3838 y FA(m)e FG(is)h(less)f(than)g(the)f(capacity)g(of)g(the)h (fronthaul;)e(\()1317 3839 y SDict begin H.S end 1317 3839 a 0 TeXcolorgray -1 x FG(13d)p 0 TeXcolorgray 1441 3782 a SDict begin H.R end 1441 3782 a 1441 3838 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13d) cvn H.B /ANN pdfmark end 1441 3838 a FG(\))i(is)g(the)g(po)n(wer)-192 3938 y(constraint)28 b(arising)g(from)f(the)i(considered)d(UE-centric)i (scenario.)-109 4063 y(T)-7 b(o)31 b(f)o(acilitate)g(the)g (optimization)f(of)g(the)h(po)n(wer)f(coef)n(\002cients,)g(let)-192 4162 y(us)e(denote)33 b Fz(~)-49 b FA(p)201 4174 y Fy(m;k)343 4162 y Fz(=)431 4114 y FF(p)p 500 4114 162 4 v 48 x FA(p)542 4174 y Fy(m;k)661 4162 y FG(,)28 b(and)e(de\002ne)k Fw(~)-51 b(p)1141 4174 y Fy(k)1205 4162 y Fz(=)23 b([)7 b(~)-49 b FA(p)1358 4174 y Fx(1)p Fy(;k)1451 4162 y FA(;)14 b(:)g(:)g(:)g(;)21 b Fz(~)-49 b FA(p)1678 4174 y Fy(M)s(;k)1804 4162 y Fz(])1827 4121 y Fy(T)1879 4162 y FG(.)-192 4262 y(Then)28 b(the)g(ef)n(fecti)n (v)o(e)g(SINR)h(of)f(UE)h FA(i)g FG(with)g(the)g(CJT)g(serving)f(mode) -192 4362 y(can)g(be)h(re)n(written)e(as)-101 4568 y SDict begin H.S end -101 4568 a -101 4568 a SDict begin 12 H.A end -101 4568 a -101 4568 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.14) cvn /DEST pdfmark end -101 4568 a FA(\015)-53 4533 y Fx(coh)-58 4588 y Fy(i)46 4568 y Fz(=)699 4436 y Fp(\014)699 4485 y(\014)730 4506 y Fw(~)-51 b(p)780 4476 y Fy(T)780 4528 y(i)832 4506 y Fw(b)885 4476 y Fx(coh)885 4528 y Fy(i)989 4436 y Fp(\014)989 4485 y(\014)1017 4456 y Fx(2)p 116 4549 1523 4 v 179 4565 a Fp(P)116 4702 y Fy(k)q Fr(2G)240 4686 y Ft(con)346 4627 y Fw(~)g(p)396 4599 y Fy(T)396 4653 y(k)448 4627 y Fw(C)517 4599 y Fx(coh)517 4653 y Fy(k)q(i)623 4627 y Fw(~)h(p)674 4639 y Fy(k)705 4627 y Fz(+)810 4565 y Fp(P)761 4702 y Fy(k)q Fr(2G)885 4686 y Ft(nc)963 4627 y Fw(~)f(p)1013 4599 y Fy(T)1013 4653 y(k)1065 4627 y Fz(diag)15 b(\()p Fw(c)1307 4599 y Fx(nc)1307 4651 y Fy(si)1378 4627 y Fz(\))s Fw(~)-51 b(p)1463 4639 y Fy(k)1495 4627 y Fz(+)-9 b FA(\033)1601 4599 y Fx(2)1598 4651 y Fy(i)1648 4568 y FA(;)91 b FG(\(14\))-192 4843 y(where)32 b Fw(b)97 4813 y Fx(coh)97 4865 y Fy(i)232 4843 y FF(2)f Fs(R)372 4813 y Fy(L)p Fr(\002)p Fx(1)513 4843 y FG(,)i Fw(c)609 4813 y Fx(nc)609 4865 y Fy(si)710 4843 y FF(2)f Fs(R)851 4813 y Fy(L)p Fr(\002)p Fx(1)991 4843 y FG(,)h(and)g(we)g(ha)n (v)o(e)1516 4776 y Fp(\002)1551 4843 y Fw(b)1604 4813 y Fx(coh)1604 4865 y Fy(i)1707 4776 y Fp(\003)1742 4876 y Fy(m)1836 4843 y Fz(=)-192 4972 y Fs(E)-129 4904 y Fp(\002)-88 4972 y Fw(h)-35 4942 y Fy(H)-35 4993 y(m;i)71 4972 y Fw(w)140 4993 y Fy(m;i)246 4904 y Fp(\003)316 4972 y FG(and)h Fz([)p Fw(c)536 4942 y Fx(nc)536 4993 y Fy(si)607 4972 y Fz(])630 4997 y Fy(m)727 4972 y Fz(=)g Fs(E)889 4880 y Fp(h)934 4901 y(\014)934 4951 y(\014)962 4972 y Fw(h)1015 4942 y Fy(H)1015 4993 y(m;i)1121 4972 y Fw(w)1190 4992 y Fy(m;s)1304 4901 y Fp(\014)1304 4951 y(\014)1332 4922 y Fx(2)1369 4880 y Fp(i)1409 4972 y FG(.)g(Furthermore,)-192 5092 y(when)f FA(k)j FF(6)p Fz(=)d FA(i)p FG(,)h(we)g(de\002ne)651 5032 y Fk(\002)683 5092 y Fi(C)747 5060 y Fn(coh)747 5107 y Fm(k)q(i)843 5032 y Fk(\003)875 5122 y Fm(l;r)953 5092 y Fl(=)5 b Fe(E)1081 5032 y Fk(\002)1113 5092 y Fi(h)1162 5060 y Fm(H)1162 5107 y(l;i)1227 5092 y Fi(w)1291 5107 y Fm(l;k)1368 5092 y Fi(w)1433 5060 y Fm(H)1432 5107 y(r)n(;k)1516 5092 y Fi(h)1565 5106 y Fm(r)n(;i)1638 5032 y Fk(\003)1670 5092 y Ff(.)30 b FG(Ne)o(xt,)-192 5210 y(we)f(de\002ne)166 5150 y Fk(\002)198 5210 y Fi(C)262 5178 y Fn(coh)262 5224 y Fm(ii)357 5150 y Fk(\003)389 5240 y Fm(l;l)448 5210 y Fl(=)l Fe(E)566 5150 y Fk(\002)598 5210 y Fi(h)647 5178 y Fm(H)647 5225 y(l;i)712 5210 y Fi(w)776 5225 y Fm(l;k)853 5210 y Fi(w)918 5178 y Fm(H)917 5225 y(l;k)994 5210 y Fi(h)1043 5225 y Fm(l;i)1109 5150 y Fk(\003)1132 5210 y Fg(\000)1183 5150 y Fk(\002)1215 5210 y Fi(b)1264 5178 y Fn(coh)1264 5224 y Fm(i)1360 5150 y Fk(\003)1392 5164 y Fn(2)1392 5240 y Fm(l)1426 5210 y Ff(.)-109 5334 y FG(Similarly)-5 b(,)31 b(for)g(the)h(UE)g FA(s)h FG(operating)d(on)h (NCJT)i(serving)e(mode,)p 0 TeXcolorgray 0 TeXcolorgray 2000 -145 a(the)d(ef)n(fecti)n(v)o(e)f(SINR)j(of)e FA(x)2808 -133 y Fy(m;s)2951 -145 y FG(can)h(be)f(re)n(written)g(as)2000 86 y SDict begin H.S end 2000 86 a 2000 86 a SDict begin 12 H.A end 2000 86 a 2000 86 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.15) cvn /DEST pdfmark end 2000 86 a FA(\015)2048 52 y Fx(nc)2043 107 y Fy(m;s)2166 86 y Fz(=)2959 -48 y Fp(\014)2959 1 y(\014)2994 22 y Fz(~)-49 b FA(p)3029 -8 y Fy(T)3029 43 y(m;s)3143 22 y FA(b)3179 -8 y Fx(nc)3179 43 y Fy(m;s)3293 -48 y Fp(\014)3293 1 y(\014)3320 -28 y Fx(2)p 2250 67 1817 4 v 2313 84 a Fp(P)2250 221 y Fy(k)q Fr(2G)2374 205 y Ft(con)2480 146 y Fw(~)e(p)2530 118 y Fy(T)2530 171 y(k)2583 146 y Fw(C)2652 118 y Fx(coh)2652 171 y Fy(k)q(s)2758 146 y Fw(~)g(p)2808 158 y Fy(k)2854 146 y Fz(+)2972 84 y Fp(P)2924 221 y Fy(k)q Fr(2G)3048 205 y Ft(nc)3125 146 y Fw(~)g(p)3175 118 y Fy(T)3175 171 y(k)3227 146 y Fz(diag)15 b(\()p Fw(C)3496 118 y Fx(nc)3496 171 y Fy(k)q(s)3582 146 y Fz(\(:)p FA(;)f(m)p Fz(\)\))s Fw(~)-50 b(p)3865 158 y Fy(k)3910 146 y Fz(+)5 b FA(\033)4030 122 y Fx(2)4027 167 y Fy(s)4077 86 y FA(;)3954 292 y FG(\(15\))2000 377 y(where)28 b FA(b)2268 347 y Fx(nc)2268 398 y Fy(m;s)2405 377 y FF(2)23 b Fs(R)p FG(,)35 b Fw(C)2662 347 y Fx(nc)2662 401 y Fy(k)q(s)2757 377 y FF(2)23 b Fs(R)2889 347 y Fy(L)p Fr(\002)p Fy(L)3071 377 y FG(with)29 b FA(b)3284 347 y Fx(nc)3284 398 y Fy(m;s)3421 377 y Fz(=)23 b Fs(E)3572 310 y Fp(\002)3612 377 y Fw(h)3665 347 y Fy(H)3665 398 y(m;s)3779 377 y Fw(w)3848 398 y Fy(m;s)3963 310 y Fp(\003)3997 377 y FG(,)2000 685 y SDict begin H.S end 2000 685 a 2000 685 a SDict begin 10 H.A end 2000 685 a 2000 685 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.16) cvn /DEST pdfmark end 2000 685 a 2041 523 a Fl([)q Fi(C)2127 487 y Fn(nc)2127 536 y Fm(k)q(s)2206 523 y Fl(\(:)p Fo(;)14 b(m)o Fl(\)])2411 546 y Fm(n)2063 726 y Fl(=)2119 573 y Fk(8)2119 640 y(<)2119 775 y(:)2186 659 y Fe(E)2249 576 y Fk(h)2285 595 y(\014)2285 640 y(\014)2311 659 y Fi(h)2360 627 y Fm(H)2360 672 y(n;s)2450 659 y Fi(w)2514 674 y Fm(n;k)2610 595 y Fk(\014)2610 640 y(\014)2635 614 y Fn(2)2670 576 y Fk(i)2723 659 y Fg(\000)2800 595 y Fk(\014)2800 640 y(\014)2826 659 y Fo(b)2859 627 y Fn(nc)2859 672 y Fm(n;s)2949 595 y Fk(\014)2949 640 y(\014)2975 616 y Fn(2)3045 659 y Fo(n)22 b Fg(\024)f Fo(m;)13 b(m)21 b Fg(2)g(M)3549 667 y Fm(s)3583 659 y Fo(;)13 b(n)21 b Fg(2)h(M)3849 667 y Fm(s)2186 793 y Fe(E)2249 711 y Fk(h)2285 730 y(\014)2285 775 y(\014)2311 793 y Fi(h)2360 762 y Fm(H)2360 806 y(n;s)2450 793 y Fi(w)2514 809 y Fm(n;k)2610 730 y Fk(\014)2610 775 y(\014)2635 748 y Fn(2)2670 711 y Fk(i)3045 793 y Fo(n)g(>)f(m;)13 b(m)21 b Fg(2)g(M)3549 801 y Fm(s)3583 793 y Fo(;)13 b(n)21 b Fg(2)h(M)3849 801 y Fm(s)3905 726 y Fo(:)41 b Ff(\(16\))2083 1019 y FG(In)68 b(problem)e(\()2594 1020 y SDict begin H.S end 2594 1020 a 0 TeXcolorgray -1 x FG(13)p 0 TeXcolorgray 2677 962 a SDict begin H.R end 2677 962 a 2677 1019 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13) cvn H.B /ANN pdfmark end 2677 1019 a FG(\),)i(since)h(the)f (data)g(rate)h(e)o(xpression)d(in)2000 1118 y(the)71 b(objecti)n(v)o(e)f(function)g(and)h(constraints)g(\()3547 1119 y SDict begin H.S end 3547 1119 a 0 TeXcolorgray -1 x FG(13c)p 0 TeXcolorgray 3667 1062 a SDict begin H.R end 3667 1062 a 3667 1118 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13c) cvn H.B /ANN pdfmark end 3667 1118 a FG(\))g(are)h(non-)2000 1218 y(con)m(v)o(e)o(x,)c(the)j(\002rst)h(step)g(to)f(deal)g(with)g (this)h(issue)f(is)h(to)2000 1318 y(introduce)k(auxiliary)g(v)n (ariables)3141 1250 y Fp(\010)3189 1318 y FA(\026)3239 1287 y Fx(coh)3239 1339 y Fy(i)3343 1318 y FA(;)14 b(\030)3420 1287 y Fx(coh)3416 1339 y Fy(i)3523 1318 y FA(;)g(#)3609 1287 y Fx(coh)3609 1339 y Fy(i)3713 1250 y Fp(\011)3761 1351 y Fr(f8)p Fy(i)p Fr(2G)3944 1334 y Ft(con)4033 1351 y Fr(g)4071 1318 y FG(,)2000 1369 y Fp(\010)2048 1436 y FA(\026)2098 1406 y Fx(nc)2098 1456 y Fy(m;s)2212 1436 y FA(;)g(\030)2289 1406 y Fx(nc)2285 1456 y Fy(m;s)2400 1436 y FA(;)g(#)2486 1406 y Fx(nc)2486 1456 y Fy(m;s)2600 1369 y Fp(\011)2648 1472 y Fr(f8)p Fy(s)p Fr(2G)2839 1455 y Ft(nc)2900 1472 y Fy(;)p Fr(8)p Fy(m)p Fr(2M)3140 1480 y Fq(s)3171 1472 y Fr(g)3230 1436 y FG(and)19 b(then)h(the)g (problem)f(\()3982 1437 y SDict begin H.S end 3982 1437 a 0 TeXcolorgray -1 x FG(13)p 0 TeXcolorgray 4064 1379 a SDict begin H.R end 4064 1379 a 4064 1436 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13) cvn H.B /ANN pdfmark end 4064 1436 a FG(\))2000 1543 y(can)28 b(be)h(transformed)d(to) 2775 1543 y SDict begin H.S end 2775 1543 a 2775 1543 a SDict begin 12 H.A end 2775 1543 a 2775 1543 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17) cvn /DEST pdfmark end 2775 1543 a 2429 1664 a Fz(max)2191 1740 y FF(f)2238 1730 y Ft(~)-34 b Fq(p)2263 1745 y(m;k)2369 1730 y(;\026)2423 1716 y Ft(coh)2423 1751 y Fq(i)2513 1730 y(;\030)2561 1716 y Ft(coh)2560 1751 y Fq(i)2649 1730 y(;#)2704 1716 y Ft(coh)2704 1751 y Fq(i)2792 1730 y(;)2269 1821 y(\026)2304 1809 y Ft(nc)2304 1838 y Fq(m;s)2406 1821 y(;\030)2454 1809 y Ft(nc)2453 1838 y Fq(m;s)2555 1821 y(;#)2610 1809 y Ft(nc)2610 1838 y Fq(m;s)2712 1831 y FF(g)2885 1585 y Fp(X)2845 1763 y Fy(i)p Fr(2G)2956 1746 y Ft(con)3059 1664 y FA(\026)3109 1630 y Fx(coh)3109 1684 y Fy(i)3231 1664 y Fz(+)3344 1585 y Fp(X)3314 1763 y Fy(s)p Fr(2G)3433 1746 y Ft(nc)3555 1585 y Fp(X)3508 1763 y Fy(m)p Fr(2M)3690 1771 y Fq(s)3736 1664 y FA(\026)3786 1630 y Fx(nc)3786 1684 y Fy(m;s)3917 1930 y SDict begin H.S end 3917 1930 a 3917 1930 a SDict begin 15 H.A end 3917 1930 a 3917 1930 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17a) cvn /DEST pdfmark end 3917 1930 a FG(\(17a\))2056 2077 y Fz(s)p FA(:)p Fz(t)p FA(:)2177 2021 y(\034)2213 2033 y Fy(d)p 2177 2058 76 4 v 2179 2134 a FA(\034)2215 2146 y Fy(c)2262 2077 y Fz(log)2369 2097 y Fx(2)2420 2010 y Fp(\000)2458 2077 y Fz(1)18 b(+)g FA(\030)2641 2043 y Fx(coh)2637 2097 y Fy(i)2745 2010 y Fp(\001)2806 2077 y FF(\025)23 b FA(\026)2944 2043 y Fx(coh)2944 2097 y Fy(i)3047 2077 y FA(;)g FF(8)p FA(i)f FF(2)h(G)3323 2043 y Fx(coh)3427 2077 y FA(;)3912 2077 y SDict begin H.S end 3912 2077 a 3912 2077 a SDict begin 15 H.A end 3912 2077 a 3912 2077 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17b) cvn /DEST pdfmark end 3912 2077 a FG(\(17b\))2177 2207 y FA(\034)2213 2219 y Fy(d)p 2177 2244 76 4 v 2179 2320 a FA(\034)2215 2332 y Fy(c)2262 2263 y Fz(log)2369 2283 y Fx(2)2420 2196 y Fp(\000)2458 2263 y Fz(1)18 b(+)g FA(\030)2641 2229 y Fx(nc)2637 2284 y Fy(m;s)2752 2196 y Fp(\001)2813 2263 y FF(\025)23 b FA(\026)2951 2229 y Fx(con)2951 2284 y Fy(m;s)3065 2263 y FA(;)g FF(8)p FA(s)f FF(2)h(G)3351 2229 y Fx(nc)3422 2263 y FA(;)37 b FF(8)p FA(m)22 b FF(2)h(M)3802 2275 y Fy(s)3838 2263 y FA(;)3917 2263 y SDict begin H.S end 3917 2263 a 3917 2263 a SDict begin 15 H.A end 3917 2263 a 3917 2263 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17c) cvn /DEST pdfmark end 3917 2263 a FG(\(17c\))2167 2382 y Fp(\014)2167 2432 y(\014)2197 2453 y Fw(~)-50 b(p)2248 2419 y Fy(T)2248 2473 y(i)2300 2453 y Fw(b)2353 2419 y Fx(coh)2353 2473 y Fy(i)2457 2382 y Fp(\014)2457 2432 y(\014)2484 2399 y Fx(2)2521 2361 y Fp(.)2589 2453 y FA(#)2638 2419 y Fx(coh)2638 2473 y Fy(i)2764 2453 y FF(\025)23 b FA(\030)2892 2419 y Fx(coh)2888 2473 y Fy(i)2996 2453 y FA(;)14 b FF(8)p FA(i)21 b FF(2)j(G)3263 2419 y Fx(coh)3366 2453 y FA(;)3912 2453 y SDict begin H.S end 3912 2453 a 3912 2453 a SDict begin 15 H.A end 3912 2453 a 3912 2453 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17d) cvn /DEST pdfmark end 3912 2453 a FG(\(17d\))2167 2557 y Fp(\014)2167 2606 y(\014)2202 2627 y Fz(~)-49 b FA(p)2237 2639 y Fy(m;s)2351 2627 y FA(b)2387 2593 y Fx(coh)2387 2648 y Fy(m;s)2500 2557 y Fp(\014)2500 2606 y(\014)2528 2573 y Fx(2)2565 2535 y Fp(.)2633 2627 y FA(#)2682 2593 y Fx(nc)2682 2648 y Fy(m;s)2819 2627 y FF(\025)23 b FA(\030)2947 2593 y Fx(nc)2943 2648 y Fy(m;s)3057 2627 y FA(;)37 b FF(8)p FA(s)22 b FF(2)h(G)3357 2593 y Fx(nc)3428 2627 y FA(;)37 b FF(8)p FA(m)22 b FF(2)i(M)3809 2639 y Fy(s)3844 2627 y FA(;)3917 2627 y SDict begin H.S end 3917 2627 a 3917 2627 a SDict begin 15 H.A end 3917 2627 a 3917 2627 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17e) cvn /DEST pdfmark end 3917 2627 a FG(\(17e\))2167 2793 y FA(#)2216 2759 y Fx(coh)2216 2814 y Fy(i)2343 2793 y FF(\025)2477 2714 y Fp(X)2430 2893 y Fy(k)q Fr(2G)2554 2877 y Ft(con)2660 2793 y Fw(~)-50 b(p)2711 2759 y Fy(T)2711 2814 y(k)2763 2793 y Fw(C)2832 2759 y Fx(coh)2832 2814 y Fy(k)q(i)2938 2793 y Fw(~)g(p)2989 2805 y Fy(k)3048 2793 y Fz(+)3164 2714 y Fp(X)3131 2893 y Fy(k)q Fr(2G)3255 2877 y Ft(nc)3333 2793 y Fw(~)f(p)3383 2759 y Fy(T)3383 2814 y(k)3435 2793 y Fz(diag)15 b(\()p Fw(c)3677 2759 y Fx(nc)3677 2814 y Fy(k)q(i)3748 2793 y Fz(\))s Fw(~)-51 b(p)3833 2805 y Fy(k)2352 3007 y Fz(+)18 b FA(\033)2485 2972 y Fx(2)2482 3027 y Fy(i)2522 3007 y FA(;)37 b FF(8)p FA(i)22 b FF(2)h(G)2812 2972 y Fx(coh)2916 3007 y FA(;)3926 3007 y SDict begin H.S end 3926 3007 a 3926 3007 a SDict begin 15 H.A end 3926 3007 a 3926 3007 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17f) cvn /DEST pdfmark end 3926 3007 a FG(\(17f\))2167 3149 y FA(#)2216 3114 y Fx(nc)2216 3169 y Fy(m;s)2353 3149 y FF(\025)2474 3070 y Fp(X)2441 3248 y Fy(k)q Fr(2G)2565 3232 y Ft(nc)2643 3149 y Fw(~)-51 b(p)2693 3114 y Fy(T)2693 3169 y(k)2746 3149 y Fz(diag)14 b(\()p Fw(C)3014 3114 y Fx(nc)3014 3169 y Fy(k)q(s)3100 3149 y Fz(\(:)p FA(;)g(m)p Fz(\)\))s Fw(~)-50 b(p)3383 3161 y Fy(k)3442 3149 y Fz(+)18 b FA(\033)3575 3114 y Fx(2)3572 3169 y Fy(s)2352 3385 y Fz(+)2481 3307 y Fp(X)2435 3485 y Fy(k)q Fr(2G)2559 3469 y Ft(con)2665 3385 y Fw(~)-51 b(p)2715 3351 y Fy(T)2715 3406 y(k)2767 3385 y Fw(C)2836 3351 y Fx(coh)2836 3406 y Fy(k)q(s)2942 3385 y Fw(~)h(p)2993 3397 y Fy(k)3034 3385 y FA(;)37 b FF(8)p FA(s)22 b FF(2)h(G)3334 3351 y Fx(nc)3405 3385 y FA(;)37 b FF(8)p FA(m)22 b FF(2)h(M)3785 3397 y Fy(s)3820 3385 y FA(;)3912 3385 y SDict begin H.S end 3912 3385 a 3912 3385 a SDict begin 15 H.A end 3912 3385 a 3912 3385 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.17g) cvn /DEST pdfmark end 3912 3385 a FG(\(17g\))2167 3594 y(\()2195 3595 y SDict begin H.S end 2195 3595 a 0 TeXcolorgray -1 x FG(13b)p 0 TeXcolorgray 2319 3537 a SDict begin H.R end 2319 3537 a 2319 3594 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13b) cvn H.B /ANN pdfmark end 2319 3594 a FG(\))p FA(;)14 b FG(\()2412 3595 y SDict begin H.S end 2412 3595 a 0 TeXcolorgray -1 x FG(13c)p 0 TeXcolorgray 2531 3537 a SDict begin H.R end 2531 3537 a 2531 3594 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13c) cvn H.B /ANN pdfmark end 2531 3594 a FG(\))p FA(;)g FG(\()2624 3595 y SDict begin H.S end 2624 3595 a 0 TeXcolorgray -1 x FG(13d)p 0 TeXcolorgray 2748 3537 a SDict begin H.R end 2748 3537 a 2748 3594 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13d) cvn H.B /ANN pdfmark end 2748 3594 a FG(\))p FA(:)2000 3750 y FG(It)39 b(should)f(be)h(emphasized)e(that)j(the)f(equi)n(v)n(alence)d(between)j (\()3982 3751 y SDict begin H.S end 3982 3751 a 0 TeXcolorgray -1 x FG(17)p 0 TeXcolorgray 4064 3693 a SDict begin H.R end 4064 3693 a 4064 3750 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17) cvn H.B /ANN pdfmark end 4064 3750 a FG(\))2000 3849 y(and)46 b(\()2195 3850 y SDict begin H.S end 2195 3850 a 0 TeXcolorgray -1 x FG(13)p 0 TeXcolorgray 2278 3793 a SDict begin H.R end 2278 3793 a 2278 3849 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.13) cvn H.B /ANN pdfmark end 2278 3849 a FG(\))h(is)h(due)e(to)h(the) g(f)o(act)g(that)g(constraints)f(\()3662 3850 y SDict begin H.S end 3662 3850 a 0 TeXcolorgray -1 x FG(17b)p 0 TeXcolorgray 3786 3793 a SDict begin H.R end 3786 3793 a 3786 3849 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17b) cvn H.B /ANN pdfmark end 3786 3849 a FG(\))p FF(\030)33 b FG(\()3940 3867 y SDict begin H.S end 3940 3867 a 0 TeXcolorgray -18 x FG(17g)p 0 TeXcolorgray 4064 3793 a SDict begin H.R end 4064 3793 a 4064 3849 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17g) cvn H.B /ANN pdfmark end 4064 3849 a FG(\))2000 3949 y(hold)48 b(with)h(equality)e(at)i (the)g(optimum)e(point.)h(Among)f(all)j(the)2000 4048 y(constraints,)44 b(\()2454 4049 y SDict begin H.S end 2454 4049 a 0 TeXcolorgray -1 x FG(17d)p 0 TeXcolorgray 2578 3992 a SDict begin H.R end 2578 3992 a 2578 4048 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17d) cvn H.B /ANN pdfmark end 2578 4048 a FG(\))i(and)e(\()2845 4049 y SDict begin H.S end 2845 4049 a 0 TeXcolorgray -1 x FG(17e)p 0 TeXcolorgray 2965 3992 a SDict begin H.R end 2965 3992 a 2965 4048 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17e) cvn H.B /ANN pdfmark end 2965 4048 a FG(\))h(are)h(non-con)m (v)o(e)o(x)41 b(since)k(the)g(left)2000 4148 y(hand)34 b(side)h(is)h(a)g(con)m(v)o(e)o(x)c(quadratic-o)o(v)o(er)n(-linear)f (function.)i(T)-7 b(o)35 b(ad-)2000 4248 y(dress)29 b(this)h(issue,)g (we)f(adopt)f(the)i(SCA)g(technique)e(to)h(approximate)2000 4347 y(the)50 b(constraints)g(as)h(con)m(v)o(e)o(x)d(ones,)i(which)g (results)g(in)h(a)g(high-)2000 4447 y(performance)24 b(solution)j(with)g(lo)n(w)h(comple)o(xity)d(although)h(returning)2000 4547 y(a)j(local)f(maximum)f(solution.)g(Speci\002cally)-5 b(,)28 b(let)h(us)g(\002rst)g(denote)2435 4716 y SDict begin H.S end 2435 4716 a 2435 4716 a SDict begin 12 H.A end 2435 4716 a 2435 4716 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.18) cvn /DEST pdfmark end 2435 4716 a FA(f)2485 4682 y Fx(coh)2602 4649 y Fp(\000)2643 4716 y Fw(~)-51 b(p)2693 4728 y Fy(i)2721 4716 y FA(;)14 b(#)2807 4682 y Fx(coh)2807 4737 y Fy(i)2910 4649 y Fp(\001)2971 4716 y Fz(=)3059 4646 y Fp(\014)3059 4695 y(\014)3089 4716 y Fw(~)-50 b(p)3140 4682 y Fy(T)3140 4737 y(i)3192 4716 y Fw(b)3245 4682 y Fx(coh)3245 4737 y Fy(i)3349 4646 y Fp(\014)3349 4695 y(\014)3376 4662 y Fx(2)3414 4624 y Fp(.)3481 4716 y FA(#)3530 4682 y Fx(coh)3530 4737 y Fy(i)3633 4716 y FA(;)298 b FG(\(18\))2000 4883 y(and)2382 4982 y SDict begin H.S end 2382 4982 a 2382 4982 a SDict begin 12 H.A end 2382 4982 a 2382 4982 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.19) cvn /DEST pdfmark end 2382 4982 a FA(f)2432 4948 y Fx(nc)2515 4915 y Fp(\000)2561 4982 y Fz(~)-50 b FA(p)2595 4994 y Fy(m;s)2709 4982 y FA(;)14 b(#)2795 4948 y Fx(nc)2795 5003 y Fy(m;s)2910 4915 y Fp(\001)2971 4982 y Fz(=)3058 4912 y Fp(\014)3058 4962 y(\014)3093 4982 y Fz(~)-49 b FA(p)3128 4994 y Fy(m;s)3242 4982 y FA(b)3278 4948 y Fx(nc)3278 5003 y Fy(m;s)3392 4912 y Fp(\014)3392 4962 y(\014)3419 4932 y Fx(2)3456 4890 y Fp(.)3524 4982 y FA(#)3573 4948 y Fx(nc)3573 5003 y Fy(m;s)3687 4982 y FA(:)244 b FG(\(19\))2000 5163 y(Then,)36 b(we)i(approximate)d FA(f)2867 5133 y Fx(coh)2984 5096 y Fp(\000)3025 5163 y Fw(~)-51 b(p)3075 5175 y Fy(i)3103 5163 y FA(;)14 b(#)3189 5133 y Fx(coh)3189 5185 y Fy(i)3292 5096 y Fp(\001)3368 5163 y FG(and)37 b FA(f)3576 5133 y Fx(nc)3660 5096 y Fp(\000)3705 5163 y Fz(~)-49 b FA(p)3740 5175 y Fy(m;s)3854 5163 y FA(;)14 b(#)3940 5133 y Fx(nc)3940 5183 y Fy(m;s)4054 5096 y Fp(\001)2000 5251 y FG(by)91 b(their)h(\002rst-order)f(T)-7 b(aylor)91 b(e)o(xpansions)f(to)i (transform)2000 5334 y(\()2028 5335 y SDict begin H.S end 2028 5335 a 0 TeXcolorgray -1 x FG(17d)p 0 TeXcolorgray 2152 5278 a SDict begin H.R end 2152 5278 a 2152 5334 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17d) cvn H.B /ANN pdfmark end 2152 5334 a FG(\))56 b(and)g(\()2441 5335 y SDict begin H.S end 2441 5335 a 0 TeXcolorgray -1 x FG(17e)p 0 TeXcolorgray 2560 5278 a SDict begin H.R end 2560 5278 a 2560 5334 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17e) cvn H.B /ANN pdfmark end 2560 5334 a FG(\))g(to)h(con)m(v)o (e)o(x)c(constraints.)i(T)-7 b(o)56 b(this)h(end,)e(let)p 0 TeXcolorgray 0 TeXcolorgray eop end end %%Page: 5 5 TeXDict begin HPSdict begin 5 4 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a -200 -429 a SDict begin H.S end -200 -429 a -200 -429 a SDict begin H.R end -200 -429 a -200 -429 a SDict begin [/View [/XYZ H.V]/Dest (page.5) cvn /DEST pdfmark end -200 -429 a 0 TeXcolorgray 0 TeXcolorgray -189 -67 a Fw(~)-51 b(p)-139 -110 y Fx(\()p Fy(t)p Fx(\))-139 -44 y Fy(i)-58 -67 y FA(;)14 b(#)28 -110 y Fx(coh)o Fy(;)p Fx(\()p Fy(t)p Fx(\))28 -44 y Fy(i)228 -67 y FA(;)21 b Fz(~)-49 b FA(p)307 -110 y Fx(\()p Fy(t)p Fx(\))307 -57 y Fy(m;s)421 -67 y FA(;)14 b(#)507 -110 y Fx(nc)o Fy(;)p Fx(\()p Fy(t)p Fx(\))507 -57 y Fy(m;s)695 -67 y FG(be)20 b(the)g(v)n(alues)g(of)j Fw(~)-51 b(p)1290 -55 y Fy(i)1318 -67 y FA(;)14 b(#)1404 -97 y Fx(coh)1404 -45 y Fy(i)1507 -67 y FA(;)21 b Fz(~)-49 b FA(p)1586 -55 y Fy(m;s)1700 -67 y FA(;)14 b(#)1786 -97 y Fx(nc)1786 -47 y Fy(m;s)-192 21 y FG(at)40 b(the)g FA(t)p FG(-th)g(iteration)f(of) h(the)g(SCA)h(procedure.)c(Then,)i(we)h(ha)n(v)o(e)-192 104 y(tw)o(o)29 b(functions)e(de\002ned)g(as)j(follo)n(ws:)-192 492 y SDict begin H.S end -192 492 a -192 492 a SDict begin 10 H.A end -192 492 a -192 492 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.20) cvn /DEST pdfmark end -192 492 a -127 213 a Fo(F)-67 177 y Fn(coh)40 130 y Fk(\020)89 213 y Fi(~)-47 b(p)135 221 y Fm(i)162 213 y Fo(;)13 b(#)242 177 y Fn(coh)242 226 y Fm(i)337 213 y Fl(;)j Fi(~)-47 b(p)420 174 y Fn(\()p Fm(t)p Fn(\))420 233 y Fm(i)496 213 y Fo(;)13 b(#)576 174 y Fn(coh)p Fm(;)p Fn(\()p Fm(t)p Fn(\))576 233 y Fm(i)762 130 y Fk(\021)-106 464 y Fl(=)21 b Fo(f)20 428 y Fn(coh)129 381 y Fk(\020)177 464 y Fi(~)-47 b(p)223 426 y Fn(\()q Fm(t)p Fn(\))223 484 y Fm(i)299 464 y Fo(;)14 b(#)380 426 y Fn(coh)o Fm(;)p Fn(\()p Fm(t)p Fn(\))380 484 y Fm(i)565 381 y Fk(\021)628 464 y Fl(+)715 386 y(2)753 303 y Fk(\020)802 386 y Fi(~)-47 b(p)848 347 y Fn(\()p Fm(t)p Fn(\))848 405 y Fm(i)924 303 y Fk(\021)970 320 y Fm(T)1019 386 y Fi(b)1068 354 y Fn(coh)1068 399 y Fm(i)1163 325 y Fk(\000)1198 386 y Fi(b)1247 354 y Fn(coh)1247 399 y Fm(i)1343 325 y Fk(\001)1378 340 y Fm(T)p 715 447 712 4 v 955 532 a Fo(#)1001 494 y Fn(coh)p Fm(;)p Fn(\()p Fm(t)p Fn(\))1001 552 y Fm(i)1450 381 y Fk(\020)1498 464 y Fi(~)h(p)1545 472 y Fm(i)1588 464 y Fg(\000)19 b Fi(~)-46 b(p)1714 426 y Fn(\()p Fm(t)p Fn(\))1714 484 y Fm(i)1790 381 y Fk(\021)39 662 y Fg(\000)17 b Fo(f)161 627 y Fn(coh)269 580 y Fk(\020)318 662 y Fi(~)-47 b(p)364 624 y Fn(\()p Fm(t)p Fn(\))364 682 y Fm(i)440 662 y Fo(;)13 b(#)520 624 y Fn(coh)p Fm(;)p Fn(\()p Fm(t)p Fn(\))520 682 y Fm(i)706 580 y Fk(\021)g(\020)811 662 y Fo(#)857 627 y Fn(coh)857 676 y Fm(i)969 662 y Fg(\000)k Fo(#)1092 624 y Fn(\()o Fm(t)p Fn(\))1092 682 y Fm(i)1167 580 y Fk(\021.)1275 662 y Fo(#)1321 624 y Fn(coh)p Fm(;)p Fn(\()p Fm(t)p Fn(\))1321 682 y Fm(i)1507 662 y Fo(;)1776 769 y Ff(\(20\))-192 901 y(and)-192 1199 y SDict begin H.S end -192 1199 a -192 1199 a SDict begin 10 H.A end -192 1199 a -192 1199 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.21) cvn /DEST pdfmark end -192 1199 a -20 998 a Fo(F)40 962 y Fn(nc)118 915 y Fk(\020)170 998 y Fl(~)-45 b Fo(p)202 1006 y Fm(m;s)309 998 y Fo(;)13 b(#)389 962 y Fn(nc)389 1011 y Fm(m;s)495 998 y Fl(;)20 b(~)-45 b Fo(p)568 962 y Fn(\()p Fm(t)p Fn(\))568 1011 y Fm(m;s)674 998 y Fo(;)13 b(#)754 962 y Fn(nc)p Fm(;)p Fn(\()p Fm(t)p Fn(\))754 1011 y Fm(m;s)910 915 y Fk(\021)1 1177 y Fl(=)21 b Fo(f)127 1142 y Fn(nc)206 1095 y Fk(\020)258 1177 y Fl(~)-44 b Fo(p)291 1142 y Fn(\()o Fm(t)p Fn(\))291 1191 y Fm(m;s)397 1177 y Fo(;)13 b(#)477 1142 y Fn(nc)o Fm(;)p Fn(\()p Fm(t)p Fn(\))477 1191 y Fm(m;s)632 1095 y Fk(\021)695 1177 y Fl(+)782 1125 y(2)p Fo(b)853 1093 y Fn(nc)853 1138 y Fm(m;s)966 1125 y Fl(~)-44 b Fo(p)999 1133 y Fm(m;s)p 782 1160 324 4 v 843 1245 a Fo(#)889 1207 y Fn(nc)o Fm(;)p Fn(\()p Fm(t)p Fn(\))889 1254 y Fm(m;s)1128 1095 y Fk(\020)1180 1177 y Fl(~)g Fo(p)1213 1185 y Fm(m;s)1336 1177 y Fg(\000)23 b Fl(~)-44 b Fo(p)1452 1142 y Fn(\()o Fm(t)p Fn(\))1452 1191 y Fm(m;s)1558 1095 y Fk(\021)147 1374 y Fg(\000)16 b Fo(f)268 1338 y Fn(nc)347 1291 y Fk(\020)399 1374 y Fl(~)-45 b Fo(p)431 1338 y Fn(\()p Fm(t)p Fn(\))431 1387 y Fm(m;s)538 1374 y Fo(;)13 b(#)618 1338 y Fn(\()o Fm(t)p Fn(\))618 1387 y Fm(m;s)724 1291 y Fk(\021)g(\020)828 1374 y Fo(#)874 1338 y Fn(nc)874 1387 y Fm(m;s)998 1374 y Fg(\000)k Fo(#)1121 1338 y Fn(\()o Fm(t)p Fn(\))1121 1387 y Fm(m;s)1227 1291 y Fk(\021.)1335 1374 y Fo(#)1381 1338 y Fn(nc)o Fm(;)p Fn(\()p Fm(t)p Fn(\))1381 1387 y Fm(m;s)1536 1374 y Fo(:)219 b Ff(\(21\))-192 1535 y FG(Then,)35 b(let)i(us)g(replace)f(the)g(right)g(hand)f(side)i(of)f(\() 1379 1536 y SDict begin H.S end 1379 1536 a 0 TeXcolorgray -1 x FG(17d)p 0 TeXcolorgray 1504 1479 a SDict begin H.R end 1504 1479 a 1504 1535 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17d) cvn H.B /ANN pdfmark end 1504 1535 a FG(\))g(and)g(\()1753 1536 y SDict begin H.S end 1753 1536 a 0 TeXcolorgray -1 x FG(17e)p 0 TeXcolorgray 1873 1479 a SDict begin H.R end 1873 1479 a 1873 1535 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17e) cvn H.B /ANN pdfmark end 1873 1535 a FG(\))-192 1635 y(with)29 b(\()13 1636 y SDict begin H.S end 13 1636 a 0 TeXcolorgray -1 x FG(20)p 0 TeXcolorgray 95 1578 a SDict begin H.R end 95 1578 a 95 1635 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.20) cvn H.B /ANN pdfmark end 95 1635 a FG(\))g(and)f(\()329 1635 y SDict begin H.S end 329 1635 a 0 TeXcolorgray FG(21)p 0 TeXcolorgray 412 1578 a SDict begin H.R end 412 1578 a 412 1635 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.21) cvn H.B /ANN pdfmark end 412 1635 a FG(\))o(,)h(respecti)n(v)o (ely)-5 b(.)26 b(W)-7 b(e)30 b(can)e(obtain)-43 1805 y SDict begin H.S end -43 1805 a -43 1805 a SDict begin 12 H.A end -43 1805 a -43 1805 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.22) cvn /DEST pdfmark end -43 1805 a FA(F)22 1770 y Fx(coh)139 1712 y Fp(\020)191 1805 y Fw(~)-51 b(p)241 1817 y Fy(i)269 1805 y FA(;)14 b(#)355 1770 y Fx(coh)355 1825 y Fy(i)458 1805 y Fz(;)j Fw(~)-51 b(p)548 1761 y Fx(\()p Fy(t)p Fx(\))548 1828 y Fy(i)629 1805 y FA(;)14 b(#)715 1761 y Fx(coh)p Fy(;)p Fx(\()o Fy(t)p Fx(\))715 1828 y Fy(i)916 1712 y Fp(\021)988 1805 y FF(\025)23 b FA(\030)1116 1770 y Fx(coh)1112 1825 y Fy(i)1219 1805 y FA(;)14 b FF(8)p FA(i)22 b FF(2)i(G)1487 1770 y Fx(coh)1482 1825 y Fy(t)1590 1805 y FA(;)149 b FG(\(22\))-192 1971 y(and)-183 2127 y SDict begin H.S end -183 2127 a -183 2127 a SDict begin 12 H.A end -183 2127 a -183 2127 a SDict begin [/View [/XYZ H.V]/Dest (equation.4.23) cvn /DEST pdfmark end -183 2127 a FA(F)-118 2093 y Fx(nc)-34 2035 y Fp(\020)22 2127 y Fz(~)-49 b FA(p)57 2139 y Fy(m;s)171 2127 y FA(;)14 b(#)257 2093 y Fx(nc)257 2147 y Fy(m;s)371 2127 y Fz(;)21 b(~)-49 b FA(p)450 2093 y Fx(\()p Fy(t)p Fx(\))450 2147 y Fy(m;s)564 2127 y FA(;)14 b(#)650 2093 y Fx(nc)o Fy(;)p Fx(\()p Fy(t)p Fx(\))650 2147 y Fy(m;s)817 2035 y Fp(\021)890 2127 y FF(\025)22 b FA(\030)1017 2093 y Fx(nc)1013 2147 y Fy(m;s)1128 2127 y FA(;)14 b FF(8)p FA(s)22 b FF(2)h(G)1405 2093 y Fx(nc)1400 2147 y Fy(t)1476 2127 y FA(;)14 b FF(8)p FA(m)22 b FF(2)h(M)1833 2139 y Fy(s)1869 2127 y FA(;)1762 2237 y FG(\(23\))-192 2337 y(which)43 b(are)h(con)m(v)o(e)o(x)d (constraints.)h(Therefore,)f(the)j(problem)e(\()1790 2338 y SDict begin H.S end 1790 2338 a 0 TeXcolorgray -1 x FG(17)p 0 TeXcolorgray 1873 2280 a SDict begin H.R end 1873 2280 a 1873 2337 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.17) cvn H.B /ANN pdfmark end 1873 2337 a FG(\))-192 2437 y(is)53 b(transformed)c(to)j(a)h(con)m(v)o(e)o(x)c(optimization)h (problem)g(by)i(us-)-192 2536 y(ing)31 b(\()-26 2536 y SDict begin H.S end -26 2536 a 0 TeXcolorgray FG(22)p 0 TeXcolorgray 57 2480 a SDict begin H.R end 57 2480 a 57 2536 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.22) cvn H.B /ANN pdfmark end 57 2536 a FG(\))o(,)h(\()165 2537 y SDict begin H.S end 165 2537 a 0 TeXcolorgray -1 x FG(23)p 0 TeXcolorgray 247 2480 a SDict begin H.R end 247 2480 a 247 2536 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (equation.4.23) cvn H.B /ANN pdfmark end 247 2536 a FG(\))g(instead)f(of)g(\() 703 2537 y SDict begin H.S end 703 2537 a 0 TeXcolorgray -1 x FG(17d)p 0 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105.54 -33.379 L 115.102 -33.379 L 115.102 -32.254 L 111.821 -32.254 111.821 -31.239 QT 111.821 -13.661 L 111.821 -12.645 115.102 -12.645 QT 115.102 -11.52 L 105.54 -11.52 L 105.54 -12.645 L 108.837 -12.645 108.837 -13.661 QT 108.837 -22.333 L 99.399 -22.333 L 99.399 -13.661 L 99.399 -12.645 102.696 -12.645 QT 102.696 -11.52 L 93.118 -11.52 L cp f GR GS [0 -0.37576 0.375 0 18.475 84.73368] CT 0.149 GC N 117.384 -11.52 M 117.024 -11.52 117.024 -11.879 QT 117.024 -12.129 L 117.024 -12.254 117.118 -12.348 QT 126.055 -24.473 L 123.18 -24.473 L 121.821 -24.473 120.938 -24.301 QT 120.055 -24.129 119.485 -23.653 QT 118.915 -23.176 118.657 -22.34 QT 118.399 -21.504 118.399 -20.036 QT 117.477 -20.036 L 117.837 -25.317 L 128.555 -25.317 L 128.696 -25.317 128.798 -25.215 QT 128.899 -25.114 128.899 -24.958 QT 128.899 -24.77 L 128.899 -24.676 128.837 -24.551 QT 119.884 -12.442 L 122.946 -12.442 L 124.337 -12.442 125.266 -12.614 QT 126.196 -12.786 126.852 -13.442 QT 127.462 -14.051 127.688 -15.083 QT 127.915 -16.114 128.04 -17.629 QT 128.962 -17.629 L 128.415 -11.52 L 117.384 -11.52 L cp f GR GS [0 -0.37576 0.375 0 18.475 84.73368] CT 0.149 GC N 132.434 -3.52 M 132.153 -3.52 132.153 -3.801 QT 132.153 -3.942 132.215 -4.004 QT 137.684 -9.348 137.684 -19.52 QT 137.684 -29.692 132.278 -34.973 QT 132.153 -35.051 132.153 -35.239 QT 132.153 -35.348 132.239 -35.434 QT 132.325 -35.52 132.434 -35.52 QT 132.731 -35.52 L 132.825 -35.52 132.887 -35.458 QT 135.184 -33.645 136.715 -31.051 QT 138.246 -28.458 138.957 -25.52 QT 139.668 -22.583 139.668 -19.52 QT 139.668 -17.254 139.286 -15.059 QT 138.903 -12.864 138.067 -10.731 QT 137.231 -8.598 135.95 -6.794 QT 134.668 -4.989 132.887 -3.583 QT 132.825 -3.52 132.731 -3.52 QT 132.434 -3.52 L cp f GR GS [0.375 0 0 0.37576 0 -0.375] CT 1 LJ 4 LW N 133.84 416 M 173.68 337.583 L 213.52 187.681 L 253.36 129.052 L 293.2 124.509 L 333.04 122.747 L 372.88 121.542 L 412.72 120.476 L 452.56 119.405 L 492.4 118.25 L 532.24 117.01 L 572.08 115.817 L 611.92 114.852 L 651.76 114.155 L 691.6 113.614 L 731.44 113.135 L 771.28 112.709 L 811.12 112.351 L 850.96 112.067 L 890.8 111.845 L 930.64 111.661 L 970.48 111.494 L 1010.32 111.361 L 1050.16 111.262 L 1090 111.183 L S GR GS [0.375 0 0 0.37576 50.19 155.93952] CT N 0 -6 M 3.314 -6 6 -3.314 6 0 C 6 0 L 6 3.314 3.314 6 0 6 C -3.314 6 -6 3.314 -6 0 C -6 -3.314 -3.314 -6 0 -6 C cp 0 -10 M -5.523 -10 -10 -5.523 -10 0 C -10 5.523 -5.523 10 0 10 C 5.523 10 10 5.523 10 0 C 10 0 L 10 -5.523 5.523 -10 0 -10 C cp f GR GS [0.375 0 0 0.37576 65.13 126.47393] CT N /f1272693692{0 -6 M 3.314 -6 6 -3.314 6 0 C 6 0 L 6 3.314 3.314 6 0 6 C -3.314 6 -6 3.314 -6 0 C -6 -3.314 -3.314 -6 0 -6 C cp 0 -10 M -5.523 -10 -10 -5.523 -10 0 C -10 5.523 -5.523 10 0 10 C 5.523 10 10 5.523 10 0 C 10 0 L 10 -5.523 5.523 -10 0 -10 C cp}def f1272693692 f GR GS [0.375 0 0 0.37576 80.07 70.14709] CT N f1272693692 f GR GS [0.375 0 0 0.37576 95.01 48.11693] CT N f1272693692 f GR GS [0.375 0 0 0.37576 109.95 46.41003] CT N f1272693692 f GR GS [0.375 0 0 0.37576 124.89 45.74799] CT N f1272693692 f GR GS [0.375 0 0 0.37576 139.83 45.29506] CT N f1272693692 f GR GS [0.375 0 0 0.37576 154.77 44.89471] CT N f1272693692 f GR GS [0.375 0 0 0.37576 169.71 44.4922] CT N f1272693692 f GR GS [0.375 0 0 0.37576 184.65 44.05804] CT N f1272693692 f GR GS [0.375 0 0 0.37576 199.59 43.59227] CT N f1272693692 f GR GS [0.375 0 0 0.37576 214.53001 43.14389] CT N f1272693692 f GR GS [0.375 0 0 0.37576 229.46999 42.78121] CT N f1272693692 f GR GS [0.375 0 0 0.37576 244.41 42.51928] CT N f1272693692 f GR GS [0.375 0 0 0.37576 259.34999 42.31597] CT N f1272693692 f GR GS [0.375 0 0 0.37576 274.29 42.1363] CT N f1272693692 f GR GS [0.375 0 0 0.37576 289.23001 41.97615] CT N f1272693692 f GR GS [0.375 0 0 0.37576 304.17 41.84141] CT N f1272693692 f GR GS [0.375 0 0 0.37576 319.11001 41.73476] CT N f1272693692 f GR GS [0.375 0 0 0.37576 334.05 41.65139] CT N f1272693692 f GR GS [0.375 0 0 0.37576 348.99001 41.58231] CT N f1272693692 f GR GS [0.375 0 0 0.37576 363.92999 41.51968] CT N f1272693692 f GR GS [0.375 0 0 0.37576 378.87 41.4695] CT N f1272693692 f GR GS [0.375 0 0 0.37576 393.81001 41.43232] CT N f1272693692 f GR GS [0.375 0 0 0.37576 408.75 41.40276] CT N f1272693692 f GR GS [0.375 0 0 0.37576 0 -0.375] CT 1 GC N 921 188 M 921 142 L 426 142 L 426 188 L cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 7.297 4.258 M 8.391 5.649 10.031 6.453 QT 11.672 7.258 13.438 7.258 QT 14.922 7.258 16.188 6.672 QT 17.453 6.086 18.398 5.039 QT 19.344 3.992 19.852 2.664 QT 20.359 1.336 20.359 -0.133 QT 20.359 -0.383 20.641 -0.383 QT 21.031 -0.383 L 21.281 -0.383 21.281 -0.07 QT 21.281 1.602 20.641 3.156 QT 20 4.711 18.828 5.891 QT 17.656 7.071 16.133 7.727 QT 14.609 8.383 12.953 8.383 QT 10.656 8.383 8.602 7.453 QT 6.547 6.524 5.023 4.906 QT 3.5 3.289 2.648 1.164 QT 1.797 -0.961 1.797 -3.258 QT 1.797 -5.554 2.648 -7.679 QT 3.5 -9.804 5.023 -11.429 QT 6.547 -13.054 8.602 -13.969 QT 10.656 -14.883 12.953 -14.883 QT 14.594 -14.883 16.094 -14.172 QT 17.594 -13.461 18.719 -12.164 QT 20.578 -14.789 L 20.766 -14.883 20.797 -14.883 QT 21.031 -14.883 L 21.125 -14.883 21.203 -14.804 QT 21.281 -14.726 21.281 -14.617 QT 21.281 -5.976 L 21.281 -5.695 21.031 -5.695 QT 20.453 -5.695 L 20.156 -5.695 20.156 -5.976 QT 20.156 -6.898 19.789 -8.039 QT 19.422 -9.179 18.852 -10.203 QT 18.281 -11.226 17.531 -12.008 QT 15.734 -13.758 13.406 -13.758 QT 11.641 -13.758 10.023 -12.961 QT 8.406 -12.164 7.297 -10.758 QT 6.125 -9.258 5.672 -7.344 QT 5.219 -5.429 5.219 -3.258 QT 5.219 -1.086 5.672 0.836 QT 6.125 2.758 7.297 4.258 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 31.111 8.039 M 29.189 8.039 27.549 7.063 QT 25.908 6.086 24.955 4.446 QT 24.002 2.805 24.002 0.867 QT 24.002 -0.601 24.525 -1.961 QT 25.049 -3.32 26.025 -4.39 QT 27.002 -5.461 28.299 -6.062 QT 29.596 -6.664 31.111 -6.664 QT 33.08 -6.664 34.697 -5.625 QT 36.314 -4.586 37.252 -2.844 QT 38.189 -1.101 38.189 0.867 QT 38.189 2.789 37.236 4.438 QT 36.283 6.086 34.65 7.063 QT 33.017 8.039 31.111 8.039 QT cp 31.111 7.102 M 33.674 7.102 34.533 5.242 QT 35.392 3.383 35.392 0.508 QT 35.392 -1.101 35.221 -2.156 QT 35.049 -3.211 34.471 -4.07 QT 34.111 -4.601 33.556 -5 QT 33.002 -5.398 32.385 -5.609 QT 31.767 -5.82 31.111 -5.82 QT 30.111 -5.82 29.213 -5.367 QT 28.314 -4.914 27.721 -4.07 QT 27.127 -3.164 26.963 -2.078 QT 26.799 -0.992 26.799 0.508 QT 26.799 2.305 27.111 3.735 QT 27.424 5.164 28.369 6.133 QT 29.314 7.102 31.111 7.102 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 40.064 7.68 M 40.064 6.555 L 41.158 6.555 41.861 6.383 QT 42.564 6.211 42.564 5.539 QT 42.564 -3.195 L 42.564 -4.054 42.306 -4.437 QT 42.049 -4.82 41.564 -4.906 QT 41.08 -4.992 40.064 -4.992 QT 40.064 -6.117 L 44.705 -6.461 L 44.705 -3.336 L 45.346 -4.711 46.603 -5.586 QT 47.861 -6.461 49.346 -6.461 QT 51.564 -6.461 52.681 -5.398 QT 53.799 -4.336 53.799 -2.148 QT 53.799 5.539 L 53.799 6.211 54.502 6.383 QT 55.205 6.555 56.299 6.555 QT 56.299 7.68 L 48.971 7.68 L 48.971 6.555 L 50.064 6.555 50.767 6.383 QT 51.471 6.211 51.471 5.539 QT 51.471 -2.054 L 51.471 -3.617 51.017 -4.625 QT 50.564 -5.633 49.158 -5.633 QT 47.299 -5.633 46.103 -4.148 QT 44.908 -2.664 44.908 -0.773 QT 44.908 5.539 L 44.908 6.211 45.611 6.383 QT 46.314 6.555 47.392 6.555 QT 47.392 7.68 L 40.064 7.68 L cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 63.813 7.68 M 59.141 -4.07 L 58.844 -4.664 58.227 -4.828 QT 57.609 -4.992 56.609 -4.992 QT 56.609 -6.117 L 63.328 -6.117 L 63.328 -4.992 L 61.531 -4.992 61.531 -4.226 QT 61.531 -4.101 61.563 -4.039 QT 65.156 4.992 L 68.391 -3.164 L 68.484 -3.414 68.484 -3.679 QT 68.484 -4.289 68.024 -4.64 QT 67.563 -4.992 66.938 -4.992 QT 66.938 -6.117 L 72.25 -6.117 L 72.25 -4.992 L 71.266 -4.992 70.524 -4.539 QT 69.781 -4.086 69.375 -3.195 QT 65.063 7.68 L 64.938 8.039 64.547 8.039 QT 64.313 8.039 L 63.922 8.039 63.813 7.68 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 79.969 8.039 M 78.016 8.039 76.383 7.016 QT 74.75 5.992 73.82 4.281 QT 72.891 2.571 72.891 0.664 QT 72.891 -1.211 73.742 -2.898 QT 74.594 -4.586 76.117 -5.625 QT 77.641 -6.664 79.516 -6.664 QT 80.985 -6.664 82.07 -6.172 QT 83.156 -5.679 83.86 -4.804 QT 84.563 -3.929 84.922 -2.742 QT 85.281 -1.554 85.281 -0.133 QT 85.281 0.289 84.953 0.289 QT 75.688 0.289 L 75.688 0.633 L 75.688 3.289 76.758 5.196 QT 77.828 7.102 80.25 7.102 QT 81.235 7.102 82.07 6.664 QT 82.906 6.227 83.524 5.446 QT 84.141 4.664 84.36 3.774 QT 84.391 3.664 84.477 3.578 QT 84.563 3.492 84.672 3.492 QT 84.953 3.492 L 85.281 3.492 85.281 3.899 QT 84.828 5.711 83.328 6.875 QT 81.828 8.039 79.969 8.039 QT cp 75.719 -0.508 M 83.016 -0.508 L 83.016 -1.711 82.68 -2.945 QT 82.344 -4.179 81.563 -5 QT 80.781 -5.82 79.516 -5.82 QT 77.703 -5.82 76.711 -4.125 QT 75.719 -2.429 75.719 -0.508 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 87.05 7.68 M 87.05 6.555 L 88.144 6.555 88.847 6.383 QT 89.55 6.211 89.55 5.539 QT 89.55 -3.195 L 89.55 -4.054 89.293 -4.437 QT 89.035 -4.82 88.55 -4.906 QT 88.066 -4.992 87.05 -4.992 QT 87.05 -6.117 L 91.629 -6.461 L 91.629 -3.336 L 92.144 -4.726 93.097 -5.594 QT 94.05 -6.461 95.41 -6.461 QT 96.363 -6.461 97.113 -5.898 QT 97.863 -5.336 97.863 -4.414 QT 97.863 -3.836 97.449 -3.406 QT 97.035 -2.976 96.425 -2.976 QT 95.832 -2.976 95.41 -3.398 QT 94.988 -3.82 94.988 -4.414 QT 94.988 -5.273 95.597 -5.633 QT 95.41 -5.633 L 94.113 -5.633 93.293 -4.695 QT 92.472 -3.758 92.129 -2.367 QT 91.785 -0.976 91.785 0.289 QT 91.785 5.539 L 91.785 6.555 94.894 6.555 QT 94.894 7.68 L 87.05 7.68 L cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 99.646 10.18 M 99.646 9.039 100.474 8.188 QT 101.303 7.336 102.443 6.977 QT 101.803 6.492 101.467 5.758 QT 101.131 5.024 101.131 4.196 QT 101.131 2.696 102.084 1.539 QT 100.615 0.102 100.615 -1.758 QT 100.615 -2.758 101.045 -3.633 QT 101.474 -4.508 102.24 -5.148 QT 103.006 -5.789 103.943 -6.125 QT 104.881 -6.461 105.865 -6.461 QT 107.771 -6.461 109.287 -5.351 QT 109.943 -6.054 110.842 -6.437 QT 111.74 -6.82 112.709 -6.82 QT 113.396 -6.82 113.834 -6.328 QT 114.271 -5.836 114.271 -5.148 QT 114.271 -4.758 113.974 -4.461 QT 113.678 -4.164 113.287 -4.164 QT 112.881 -4.164 112.584 -4.461 QT 112.287 -4.758 112.287 -5.148 QT 112.287 -5.742 112.678 -5.976 QT 111.021 -5.976 109.834 -4.836 QT 110.412 -4.258 110.764 -3.422 QT 111.115 -2.586 111.115 -1.758 QT 111.115 -0.398 110.365 0.688 QT 109.615 1.774 108.389 2.375 QT 107.162 2.977 105.865 2.977 QT 104.115 2.977 102.662 2.024 QT 102.209 2.649 102.209 3.43 QT 102.209 4.274 102.764 4.906 QT 103.318 5.539 104.162 5.539 QT 106.787 5.539 L 108.693 5.539 110.224 5.883 QT 111.756 6.227 112.795 7.258 QT 113.834 8.289 113.834 10.18 QT 113.834 11.586 112.646 12.516 QT 111.459 13.446 109.81 13.86 QT 108.162 14.274 106.756 14.274 QT 105.334 14.274 103.678 13.86 QT 102.021 13.446 100.834 12.516 QT 99.646 11.586 99.646 10.18 QT cp 101.443 10.18 M 101.443 11.258 102.318 11.985 QT 103.193 12.711 104.428 13.063 QT 105.662 13.414 106.756 13.414 QT 107.834 13.414 109.068 13.063 QT 110.303 12.711 111.17 11.985 QT 112.037 11.258 112.037 10.18 QT 112.037 8.508 110.506 8.016 QT 108.974 7.524 106.787 7.524 QT 104.162 7.524 L 103.428 7.524 102.81 7.875 QT 102.193 8.227 101.818 8.86 QT 101.443 9.492 101.443 10.18 QT cp 105.865 2.117 M 108.584 2.117 108.584 -1.758 QT 108.584 -3.429 108.006 -4.515 QT 107.428 -5.601 105.865 -5.601 QT 104.303 -5.601 103.724 -4.515 QT 103.146 -3.429 103.146 -1.758 QT 103.146 -0.695 103.365 0.164 QT 103.584 1.024 104.178 1.571 QT 104.771 2.117 105.865 2.117 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 122.725 8.039 M 120.771 8.039 119.139 7.016 QT 117.506 5.992 116.576 4.281 QT 115.646 2.571 115.646 0.664 QT 115.646 -1.211 116.498 -2.898 QT 117.35 -4.586 118.873 -5.625 QT 120.396 -6.664 122.271 -6.664 QT 123.74 -6.664 124.826 -6.172 QT 125.912 -5.679 126.615 -4.804 QT 127.318 -3.929 127.678 -2.742 QT 128.037 -1.554 128.037 -0.133 QT 128.037 0.289 127.709 0.289 QT 118.443 0.289 L 118.443 0.633 L 118.443 3.289 119.514 5.196 QT 120.584 7.102 123.006 7.102 QT 123.99 7.102 124.826 6.664 QT 125.662 6.227 126.279 5.446 QT 126.896 4.664 127.115 3.774 QT 127.146 3.664 127.232 3.578 QT 127.318 3.492 127.428 3.492 QT 127.709 3.492 L 128.037 3.492 128.037 3.899 QT 127.584 5.711 126.084 6.875 QT 124.584 8.039 122.725 8.039 QT cp 118.475 -0.508 M 125.771 -0.508 L 125.771 -1.711 125.435 -2.945 QT 125.1 -4.179 124.318 -5 QT 123.537 -5.82 122.271 -5.82 QT 120.459 -5.82 119.467 -4.125 QT 118.475 -2.429 118.475 -0.508 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 129.931 7.68 M 129.931 6.555 L 131.025 6.555 131.728 6.383 QT 132.431 6.211 132.431 5.539 QT 132.431 -3.195 L 132.431 -4.054 132.173 -4.437 QT 131.915 -4.82 131.431 -4.906 QT 130.947 -4.992 129.931 -4.992 QT 129.931 -6.117 L 134.572 -6.461 L 134.572 -3.336 L 135.212 -4.711 136.47 -5.586 QT 137.728 -6.461 139.212 -6.461 QT 141.431 -6.461 142.548 -5.398 QT 143.665 -4.336 143.665 -2.148 QT 143.665 5.539 L 143.665 6.211 144.369 6.383 QT 145.072 6.555 146.165 6.555 QT 146.165 7.68 L 138.837 7.68 L 138.837 6.555 L 139.931 6.555 140.634 6.383 QT 141.337 6.211 141.337 5.539 QT 141.337 -2.054 L 141.337 -3.617 140.884 -4.625 QT 140.431 -5.633 139.025 -5.633 QT 137.165 -5.633 135.97 -4.148 QT 134.775 -2.664 134.775 -0.773 QT 134.775 5.539 L 134.775 6.211 135.478 6.383 QT 136.181 6.555 137.259 6.555 QT 137.259 7.68 L 129.931 7.68 L cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 154.725 8.039 M 152.787 8.039 151.209 7.031 QT 149.631 6.024 148.725 4.344 QT 147.818 2.664 147.818 0.774 QT 147.818 -1.117 148.717 -2.851 QT 149.615 -4.586 151.201 -5.625 QT 152.787 -6.664 154.725 -6.664 QT 156.6 -6.664 158.139 -5.929 QT 159.678 -5.195 159.678 -3.523 QT 159.678 -2.898 159.232 -2.437 QT 158.787 -1.976 158.146 -1.976 QT 157.506 -1.976 157.061 -2.437 QT 156.615 -2.898 156.615 -3.523 QT 156.615 -4.086 156.975 -4.5 QT 157.334 -4.914 157.865 -5.023 QT 156.756 -5.726 154.756 -5.726 QT 153.225 -5.726 152.287 -4.711 QT 151.35 -3.695 150.975 -2.195 QT 150.6 -0.695 150.6 0.774 QT 150.6 2.321 151.061 3.766 QT 151.521 5.211 152.545 6.156 QT 153.568 7.102 155.115 7.102 QT 156.631 7.102 157.693 6.172 QT 158.756 5.242 159.146 3.742 QT 159.146 3.555 159.396 3.555 QT 159.787 3.555 L 159.881 3.555 159.959 3.641 QT 160.037 3.727 160.037 3.836 QT 160.037 3.93 L 159.553 5.821 158.115 6.93 QT 156.678 8.039 154.725 8.039 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 168.947 8.039 M 166.994 8.039 165.361 7.016 QT 163.728 5.992 162.798 4.281 QT 161.869 2.571 161.869 0.664 QT 161.869 -1.211 162.72 -2.898 QT 163.572 -4.586 165.095 -5.625 QT 166.619 -6.664 168.494 -6.664 QT 169.962 -6.664 171.048 -6.172 QT 172.134 -5.679 172.837 -4.804 QT 173.541 -3.929 173.9 -2.742 QT 174.259 -1.554 174.259 -0.133 QT 174.259 0.289 173.931 0.289 QT 164.666 0.289 L 164.666 0.633 L 164.666 3.289 165.736 5.196 QT 166.806 7.102 169.228 7.102 QT 170.212 7.102 171.048 6.664 QT 171.884 6.227 172.501 5.446 QT 173.119 4.664 173.337 3.774 QT 173.369 3.664 173.455 3.578 QT 173.541 3.492 173.65 3.492 QT 173.931 3.492 L 174.259 3.492 174.259 3.899 QT 173.806 5.711 172.306 6.875 QT 170.806 8.039 168.947 8.039 QT cp 164.697 -0.508 M 171.994 -0.508 L 171.994 -1.711 171.658 -2.945 QT 171.322 -4.179 170.541 -5 QT 169.759 -5.82 168.494 -5.82 QT 166.681 -5.82 165.689 -4.125 QT 164.697 -2.429 164.697 -0.508 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 193.867 8.039 M 191.945 8.039 190.304 7.063 QT 188.664 6.086 187.711 4.446 QT 186.758 2.805 186.758 0.867 QT 186.758 -0.601 187.281 -1.961 QT 187.804 -3.32 188.781 -4.39 QT 189.758 -5.461 191.054 -6.062 QT 192.351 -6.664 193.867 -6.664 QT 195.836 -6.664 197.453 -5.625 QT 199.07 -4.586 200.008 -2.844 QT 200.945 -1.101 200.945 0.867 QT 200.945 2.789 199.992 4.438 QT 199.039 6.086 197.406 7.063 QT 195.773 8.039 193.867 8.039 QT cp 193.867 7.102 M 196.429 7.102 197.289 5.242 QT 198.148 3.383 198.148 0.508 QT 198.148 -1.101 197.976 -2.156 QT 197.804 -3.211 197.226 -4.07 QT 196.867 -4.601 196.312 -5 QT 195.758 -5.398 195.14 -5.609 QT 194.523 -5.82 193.867 -5.82 QT 192.867 -5.82 191.968 -5.367 QT 191.07 -4.914 190.476 -4.07 QT 189.883 -3.164 189.718 -2.078 QT 189.554 -0.992 189.554 0.508 QT 189.554 2.305 189.867 3.735 QT 190.179 5.164 191.125 6.133 QT 192.07 7.102 193.867 7.102 QT cp f GR GS [0.375 0 0 0.37576 195.05859 61.62475] CT N 202.898 7.68 M 202.898 6.555 L 203.976 6.555 204.679 6.383 QT 205.383 6.211 205.383 5.539 QT 205.383 -4.992 L 202.929 -4.992 L 202.929 -6.117 L 205.383 -6.117 L 205.383 -9.945 L 205.383 -10.976 205.812 -11.875 QT 206.242 -12.773 206.969 -13.445 QT 207.695 -14.117 208.64 -14.5 QT 209.586 -14.883 210.601 -14.883 QT 211.679 -14.883 212.547 -14.242 QT 213.414 -13.601 213.414 -12.539 QT 213.414 -11.929 213 -11.515 QT 212.586 -11.101 211.976 -11.101 QT 211.367 -11.101 210.937 -11.515 QT 210.508 -11.929 210.508 -12.539 QT 210.508 -13.539 211.367 -13.883 QT 210.851 -14.054 210.445 -14.054 QT 209.508 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-24.551 QT 119.884 -12.442 L 122.946 -12.442 L 124.337 -12.442 125.266 -12.614 QT 126.196 -12.786 126.852 -13.442 QT 127.462 -14.051 127.688 -15.083 QT 127.915 -16.114 128.04 -17.629 QT 128.962 -17.629 L 128.415 -11.52 L 117.384 -11.52 L cp f GR GS [0 -0.375 0.375 0 21.075 139.49987] CT 0.149 GC N 132.434 -3.52 M 132.153 -3.52 132.153 -3.801 QT 132.153 -3.942 132.215 -4.004 QT 137.684 -9.348 137.684 -19.52 QT 137.684 -29.692 132.278 -34.973 QT 132.153 -35.051 132.153 -35.239 QT 132.153 -35.348 132.239 -35.434 QT 132.325 -35.52 132.434 -35.52 QT 132.731 -35.52 L 132.825 -35.52 132.887 -35.458 QT 135.184 -33.645 136.715 -31.051 QT 138.246 -28.458 138.957 -25.52 QT 139.668 -22.583 139.668 -19.52 QT 139.668 -17.254 139.286 -15.059 QT 138.903 -12.864 138.067 -10.731 QT 137.231 -8.598 135.95 -6.794 QT 134.668 -4.989 132.887 -3.583 QT 132.825 -3.52 132.731 -3.52 QT 132.434 -3.52 L cp f GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 96 477.838 M 140.5 430.271 L 185 399.373 L 229.5 392.1 L 274 402.594 L 318.5 428.884 L 363 464.414 L 407.5 507.931 L 452 560.216 L 496.5 622.311 L 541 693.661 L S GR GS [0.375 0 0 0.375 36 179.18927] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 52.6875 161.35181] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 69.375 149.76493] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 86.0625 147.03763] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 102.75 150.97266] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 119.4375 160.83136] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 136.125 174.15534] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 152.8125 190.47416] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 169.5 210.08089] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 186.1875 233.36673] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 202.875 260.12286] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 96 477.445 M 140.5 429.784 L 185 387.699 L 229.5 353.59 L 274 330.501 L 318.5 323.379 L 363 330.865 L 407.5 354.404 L 452 386.774 L 496.5 430.046 L 541 482.788 L S GR GS [0.375 0 0 0.375 36 179.04199] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 52.6875 161.16896] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 69.375 145.38709] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 86.0625 132.59642] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 102.75 123.9378] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 119.4375 121.26711] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 136.125 124.07429] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 152.8125 132.90167] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 169.5 145.04016] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 186.1875 161.26733] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 202.875 181.04558] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 96 476.971 M 140.5 429.783 L 185 387.093 L 229.5 346.871 L 274 309.903 L 318.5 277.487 L 363 254.66 L 407.5 249.073 L 452 255.482 L 496.5 276.964 L 541 307.089 L S GR GS [0.375 0 0 0.375 36 178.8643] CT N 0 -6 M 3.314 -6 6 -3.314 6 0 C 6 0 L 6 3.314 3.314 6 0 6 C -3.314 6 -6 3.314 -6 0 C -6 -3.314 -3.314 -6 0 -6 C cp 0 -10 M -5.523 -10 -10 -5.523 -10 0 C -10 5.523 -5.523 10 0 10 C 5.523 10 10 5.523 10 0 C 10 0 L 10 -5.523 5.523 -10 0 -10 C cp f GR GS [0.375 0 0 0.375 52.6875 161.16863] CT N /f1272693692{0 -6 M 3.314 -6 6 -3.314 6 0 C 6 0 L 6 3.314 3.314 6 0 6 C -3.314 6 -6 3.314 -6 0 C -6 -3.314 -3.314 -6 0 -6 C cp 0 -10 M -5.523 -10 -10 -5.523 -10 0 C -10 5.523 -5.523 10 0 10 C 5.523 10 10 5.523 10 0 C 10 0 L 10 -5.523 5.523 -10 0 -10 C cp}def f1272693692 f GR GS [0.375 0 0 0.375 69.375 145.16003] CT N f1272693692 f GR GS [0.375 0 0 0.375 86.0625 130.07659] CT N f1272693692 f GR GS [0.375 0 0 0.375 102.75 116.21357] CT N f1272693692 f GR GS [0.375 0 0 0.375 119.4375 104.05759] CT N f1272693692 f GR GS [0.375 0 0 0.375 136.125 95.49743] CT N f1272693692 f GR GS [0.375 0 0 0.375 152.8125 93.4025] CT N f1272693692 f GR GS [0.375 0 0 0.375 169.5 95.80594] CT N f1272693692 f GR GS [0.375 0 0 0.375 186.1875 103.86132] CT N f1272693692 f GR GS [0.375 0 0 0.375 202.875 115.15843] CT N f1272693692 f GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 96 476.082 M 140.5 428.689 L 185 386.885 L 229.5 346.667 L 274 305.776 L 318.5 265.543 L 363 230.092 L 407.5 196.227 L 452 161.817 L 496.5 130.91 L 541 106.425 L S GR GS [0.375 0 0 0.375 36 178.53085] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 52.6875 160.75825] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 69.375 145.08179] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 86.0625 130.00001] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 102.75 114.66589] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 119.4375 99.57856] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 136.125 86.28448] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 152.8125 73.58504] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 169.5 60.68124] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 186.1875 49.09116] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 202.875 39.90925] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 0 0] CT 1 GC N 429 151 M 429 37 L 126 37 L 126 151 L cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 3.063 0.589 M 3.063 1.854 3.555 2.807 QT 4.047 3.761 4.969 4.3 QT 5.891 4.839 7.156 4.839 QT 8.484 4.839 9.711 4.167 QT 10.938 3.495 11.797 2.362 QT 12.656 1.229 12.984 -0.052 QT 13.016 -0.177 13.141 -0.177 QT 13.406 -0.177 L 13.484 -0.177 13.539 -0.114 QT 13.594 -0.052 13.594 0.011 QT 13.594 0.026 13.563 0.073 QT 13.203 1.526 12.172 2.807 QT 11.141 4.089 9.711 4.839 QT 8.281 5.589 6.75 5.589 QT 5.109 5.589 3.813 4.846 QT 2.516 4.104 1.789 2.792 QT 1.063 1.479 1.063 -0.177 QT 1.063 -1.943 1.852 -3.669 QT 2.641 -5.396 3.977 -6.739 QT 5.313 -8.083 7.016 -8.888 QT 8.719 -9.693 10.484 -9.693 QT 11.172 -9.693 11.813 -9.482 QT 12.453 -9.271 12.992 -8.841 QT 13.531 -8.411 13.891 -7.849 QT 15.547 -9.646 L 15.547 -9.693 15.641 -9.693 QT 15.766 -9.693 L 15.859 -9.693 15.906 -9.614 QT 15.953 -9.536 15.953 -9.474 QT 14.531 -3.802 L 14.531 -3.661 14.359 -3.661 QT 13.984 -3.661 L 13.828 -3.661 13.828 -3.896 QT 13.906 -4.349 13.906 -5.005 QT 13.906 -6.021 13.555 -6.935 QT 13.203 -7.849 12.469 -8.396 QT 11.734 -8.943 10.688 -8.943 QT 8.969 -8.943 7.547 -8.083 QT 6.125 -7.224 5.133 -5.825 QT 4.141 -4.427 3.602 -2.716 QT 3.063 -1.005 3.063 0.589 QT cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 17.226 -2.622 M 17.226 -3.153 L 17.726 -3.153 18.062 -3.231 QT 18.398 -3.309 18.398 -3.622 QT 18.398 -7.716 L 18.398 -8.122 18.273 -8.301 QT 18.148 -8.481 17.922 -8.52 QT 17.695 -8.559 17.226 -8.559 QT 17.226 -9.091 L 19.398 -9.247 L 19.398 -7.778 L 19.695 -8.434 20.289 -8.841 QT 20.883 -9.247 21.57 -9.247 QT 23.305 -9.247 23.601 -7.841 QT 23.898 -8.481 24.476 -8.864 QT 25.055 -9.247 25.742 -9.247 QT 26.43 -9.247 26.89 -9.028 QT 27.351 -8.809 27.586 -8.356 QT 27.82 -7.903 27.82 -7.231 QT 27.82 -3.622 L 27.82 -3.309 28.156 -3.231 QT 28.492 -3.153 28.992 -3.153 QT 28.992 -2.622 L 25.57 -2.622 L 25.57 -3.153 L 26.07 -3.153 26.406 -3.231 QT 26.742 -3.309 26.742 -3.622 QT 26.742 -7.184 L 26.742 -7.934 26.523 -8.395 QT 26.305 -8.856 25.648 -8.856 QT 24.789 -8.856 24.226 -8.161 QT 23.664 -7.466 23.664 -6.591 QT 23.664 -3.622 L 23.664 -3.309 23.992 -3.231 QT 24.32 -3.153 24.836 -3.153 QT 24.836 -2.622 L 21.398 -2.622 L 21.398 -3.153 L 21.914 -3.153 22.242 -3.231 QT 22.57 -3.309 22.57 -3.622 QT 22.57 -7.184 L 22.57 -7.919 22.359 -8.387 QT 22.148 -8.856 21.476 -8.856 QT 20.617 -8.856 20.055 -8.161 QT 19.492 -7.466 19.492 -6.591 QT 19.492 -3.622 L 19.492 -3.309 19.82 -3.231 QT 20.148 -3.153 20.648 -3.153 QT 20.648 -2.622 L 17.226 -2.622 L cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 29.812 -4.091 M 29.812 -4.981 30.515 -5.544 QT 31.218 -6.106 32.21 -6.341 QT 33.202 -6.575 34.077 -6.575 QT 34.077 -7.184 L 34.077 -7.622 33.89 -8.028 QT 33.702 -8.434 33.343 -8.692 QT 32.983 -8.95 32.546 -8.95 QT 31.562 -8.95 31.03 -8.497 QT 31.327 -8.497 31.507 -8.286 QT 31.687 -8.075 31.687 -7.778 QT 31.687 -7.481 31.476 -7.27 QT 31.265 -7.059 30.983 -7.059 QT 30.671 -7.059 30.46 -7.27 QT 30.249 -7.481 30.249 -7.778 QT 30.249 -8.575 30.968 -8.958 QT 31.687 -9.341 32.546 -9.341 QT 33.155 -9.341 33.772 -9.083 QT 34.39 -8.825 34.78 -8.341 QT 35.171 -7.856 35.171 -7.216 QT 35.171 -3.841 L 35.171 -3.544 35.296 -3.301 QT 35.421 -3.059 35.687 -3.059 QT 35.937 -3.059 36.054 -3.309 QT 36.171 -3.559 36.171 -3.841 QT 36.171 -4.794 L 36.608 -4.794 L 36.608 -3.841 L 36.608 -3.497 36.437 -3.192 QT 36.265 -2.887 35.968 -2.708 QT 35.671 -2.528 35.327 -2.528 QT 34.89 -2.528 34.569 -2.872 QT 34.249 -3.216 34.218 -3.684 QT 33.937 -3.122 33.397 -2.786 QT 32.858 -2.45 32.233 -2.45 QT 31.671 -2.45 31.116 -2.622 QT 30.562 -2.794 30.187 -3.153 QT 29.812 -3.512 29.812 -4.091 QT cp 31.03 -4.091 M 31.03 -3.559 31.421 -3.208 QT 31.812 -2.856 32.343 -2.856 QT 32.827 -2.856 33.218 -3.091 QT 33.608 -3.325 33.843 -3.747 QT 34.077 -4.169 34.077 -4.622 QT 34.077 -6.184 L 33.405 -6.184 32.687 -5.966 QT 31.968 -5.747 31.499 -5.27 QT 31.03 -4.794 31.03 -4.091 QT cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 36.872 -2.622 M 36.872 -3.153 L 37.434 -3.153 37.942 -3.372 QT 38.45 -3.591 38.794 -4.028 QT 40.169 -5.778 L 38.388 -8.075 L 38.122 -8.403 37.817 -8.481 QT 37.513 -8.559 36.934 -8.559 QT 36.934 -9.091 L 40.059 -9.091 L 40.059 -8.559 L 39.856 -8.559 39.684 -8.473 QT 39.513 -8.387 39.513 -8.216 QT 39.513 -8.153 39.559 -8.075 QT 40.763 -6.512 L 41.669 -7.669 L 41.841 -7.903 41.841 -8.122 QT 41.841 -8.294 41.724 -8.426 QT 41.606 -8.559 41.403 -8.559 QT 41.403 -9.091 L 44.169 -9.091 L 44.169 -8.559 L 43.591 -8.559 43.083 -8.341 QT 42.575 -8.122 42.216 -7.669 QT 41.028 -6.153 L 42.95 -3.622 L 43.247 -3.294 43.552 -3.223 QT 43.856 -3.153 44.419 -3.153 QT 44.419 -2.622 L 41.309 -2.622 L 41.309 -3.153 L 41.497 -3.153 41.661 -3.239 QT 41.825 -3.325 41.825 -3.497 QT 41.825 -3.559 41.778 -3.622 QT 40.434 -5.419 L 39.356 -4.028 L 39.184 -3.841 39.184 -3.591 QT 39.184 -3.419 39.309 -3.286 QT 39.434 -3.153 39.606 -3.153 QT 39.606 -2.622 L 36.872 -2.622 L cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 53.137 2.323 M 52.965 2.323 52.847 2.19 QT 52.73 2.057 52.73 1.917 QT 52.73 1.729 52.847 1.612 QT 52.965 1.495 53.137 1.495 QT 66.324 1.495 L 66.48 1.495 66.59 1.612 QT 66.699 1.729 66.699 1.917 QT 66.699 2.057 66.59 2.19 QT 66.48 2.323 66.324 2.323 QT 53.137 2.323 L cp 53.137 -1.755 M 52.965 -1.755 52.847 -1.872 QT 52.73 -1.989 52.73 -2.177 QT 52.73 -2.318 52.847 -2.458 QT 52.965 -2.599 53.137 -2.599 QT 66.324 -2.599 L 66.48 -2.599 66.59 -2.458 QT 66.699 -2.318 66.699 -2.177 QT 66.699 -1.989 66.59 -1.872 QT 66.48 -1.755 66.324 -1.755 QT 53.137 -1.755 L cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 76.03 5.12 M 76.03 4.386 L 78.655 4.386 78.655 3.714 QT 78.655 -7.302 L 77.561 -6.786 75.905 -6.786 QT 75.905 -7.521 L 78.483 -7.521 79.796 -8.864 QT 80.092 -8.864 L 80.155 -8.864 80.225 -8.81 QT 80.296 -8.755 80.296 -8.677 QT 80.296 3.714 L 80.296 4.386 82.921 4.386 QT 82.921 5.12 L 76.03 5.12 L cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 89.994 5.589 M 87.415 5.589 86.494 3.464 QT 85.572 1.339 85.572 -1.583 QT 85.572 -3.396 85.9 -5.005 QT 86.228 -6.614 87.22 -7.739 QT 88.212 -8.864 89.994 -8.864 QT 91.384 -8.864 92.259 -8.193 QT 93.134 -7.521 93.603 -6.443 QT 94.072 -5.364 94.236 -4.146 QT 94.4 -2.927 94.4 -1.583 QT 94.4 0.229 94.072 1.8 QT 93.744 3.37 92.767 4.479 QT 91.79 5.589 89.994 5.589 QT cp 89.994 5.042 M 91.165 5.042 91.736 3.839 QT 92.306 2.636 92.439 1.182 QT 92.572 -0.271 92.572 -1.911 QT 92.572 -3.489 92.439 -4.825 QT 92.306 -6.161 91.736 -7.239 QT 91.165 -8.318 89.994 -8.318 QT 88.806 -8.318 88.228 -7.232 QT 87.65 -6.146 87.517 -4.818 QT 87.384 -3.489 87.384 -1.911 QT 87.384 -0.739 87.447 0.292 QT 87.509 1.323 87.751 2.425 QT 87.994 3.526 88.54 4.284 QT 89.087 5.042 89.994 5.042 QT cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] CT N 109.037 10.323 M 107.865 9.401 107.021 8.206 QT 106.178 7.011 105.639 5.659 QT 105.099 4.307 104.834 2.831 QT 104.568 1.354 104.568 -0.13 QT 104.568 -1.63 104.834 -3.107 QT 105.099 -4.583 105.646 -5.95 QT 106.193 -7.318 107.045 -8.505 QT 107.896 -9.693 109.037 -10.583 QT 109.037 -10.63 109.131 -10.63 QT 109.334 -10.63 L 109.396 -10.63 109.443 -10.575 QT 109.49 -10.521 109.49 -10.443 QT 109.49 -10.349 109.459 -10.318 QT 108.428 -9.302 107.748 -8.154 QT 107.068 -7.005 106.654 -5.708 QT 106.24 -4.411 106.053 -3.021 QT 105.865 -1.63 105.865 -0.13 QT 105.865 6.542 109.428 10.011 QT 109.49 10.073 109.49 10.182 QT 109.49 10.229 109.435 10.3 QT 109.381 10.37 109.334 10.37 QT 109.131 10.37 L 109.037 10.37 109.037 10.323 QT cp f GR GS [0.375 0 0 0.375 82.56786 20.20833] 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QT 124.951 4.151 124.951 3.714 QT 124.951 -2.021 L 124.951 -2.833 124.638 -3.013 QT 124.326 -3.193 123.404 -3.193 QT 123.404 -3.927 L 126.435 -4.161 L 126.435 3.714 L 126.435 4.151 126.834 4.268 QT 127.232 4.386 127.904 4.386 QT 127.904 5.12 L 123.31 5.12 L cp 124.201 -7.771 M 124.201 -8.224 124.552 -8.575 QT 124.904 -8.927 125.357 -8.927 QT 125.654 -8.927 125.927 -8.771 QT 126.201 -8.614 126.357 -8.341 QT 126.513 -8.068 126.513 -7.771 QT 126.513 -7.318 126.162 -6.966 QT 125.81 -6.614 125.357 -6.614 QT 124.904 -6.614 124.552 -6.966 QT 124.201 -7.318 124.201 -7.771 QT cp}def f-1270960318 f GR GS [0.375 0 0 0.375 82.56786 30.23611] CT N /f-2061917800{130.736 2.604 M 130.736 -3.193 L 129.002 -3.193 L 129.002 -3.739 L 130.377 -3.739 131.017 -5.021 QT 131.658 -6.302 131.658 -7.802 QT 132.267 -7.802 L 132.267 -3.927 L 135.236 -3.927 L 135.236 -3.193 L 132.267 -3.193 L 132.267 2.557 L 132.267 3.432 132.556 4.089 QT 132.845 4.745 133.611 4.745 QT 134.33 4.745 134.65 4.05 QT 134.97 3.354 134.97 2.557 QT 134.97 1.323 L 135.564 1.323 L 135.564 2.604 L 135.564 3.261 135.322 3.901 QT 135.08 4.542 134.611 4.948 QT 134.142 5.354 133.47 5.354 QT 132.205 5.354 131.47 4.604 QT 130.736 3.854 130.736 2.604 QT cp}def f-2061917800 f GR GS [0.375 0 0 0.375 82.56786 30.23611] CT N /f1389631518{138.064 9.948 M 138.064 9.886 138.095 9.87 QT 145.392 -10.38 L 145.439 -10.489 145.54 -10.56 QT 145.642 -10.63 145.767 -10.63 QT 145.954 -10.63 146.071 -10.521 QT 146.189 -10.411 146.189 -10.208 QT 146.189 -10.13 L 138.892 10.12 L 138.767 10.37 138.486 10.37 QT 138.314 10.37 138.189 10.245 QT 138.064 10.12 138.064 9.948 QT cp}def f1389631518 f GR GS [0.375 0 0 0.375 82.56786 30.23611] CT N /f-251646990{148.262 5.182 M 148.262 1.761 L 148.262 1.589 148.434 1.589 QT 148.699 1.589 L 148.824 1.589 148.855 1.761 QT 149.449 4.807 151.684 4.807 QT 152.684 4.807 153.355 4.354 QT 154.027 3.901 154.027 2.964 QT 154.027 2.276 153.504 1.8 QT 152.98 1.323 152.262 1.151 QT 150.855 0.87 L 150.152 0.714 149.574 0.401 QT 148.996 0.089 148.629 -0.443 QT 148.262 -0.974 148.262 -1.661 QT 148.262 -2.599 148.746 -3.185 QT 149.23 -3.771 150.012 -4.029 QT 150.793 -4.286 151.684 -4.286 QT 152.762 -4.286 153.574 -3.724 QT 154.168 -4.239 L 154.168 -4.286 154.277 -4.286 QT 154.434 -4.286 L 154.496 -4.286 154.543 -4.232 QT 154.59 -4.177 154.59 -4.114 QT 154.59 -1.364 L 154.59 -1.177 154.434 -1.177 QT 154.168 -1.177 L 153.98 -1.177 153.98 -1.364 QT 153.98 -2.474 153.371 -3.138 QT 152.762 -3.802 151.668 -3.802 QT 150.73 -3.802 150.035 -3.45 QT 149.34 -3.099 149.34 -2.255 QT 149.34 -1.661 149.84 -1.294 QT 150.34 -0.927 151.012 -0.755 QT 152.434 -0.489 L 153.152 -0.318 153.769 0.065 QT 154.387 0.448 154.754 1.05 QT 155.121 1.651 155.121 2.386 QT 155.121 3.151 154.855 3.714 QT 154.59 4.276 154.121 4.643 QT 153.652 5.011 153.019 5.182 QT 152.387 5.354 151.684 5.354 QT 150.371 5.354 149.449 4.479 QT 148.684 5.307 L 148.684 5.354 148.559 5.354 QT 148.434 5.354 L 148.262 5.354 148.262 5.182 QT cp}def f-251646990 f GR GS [0.375 0 0 0.375 82.56786 30.23611] CT N /f-1758445470{157.145 9.948 M 157.145 9.886 157.176 9.87 QT 164.473 -10.38 L 164.52 -10.489 164.622 -10.56 QT 164.723 -10.63 164.848 -10.63 QT 165.036 -10.63 165.153 -10.521 QT 165.27 -10.411 165.27 -10.208 QT 165.27 -10.13 L 157.973 10.12 L 157.848 10.37 157.567 10.37 QT 157.395 10.37 157.27 10.245 QT 157.145 10.12 157.145 9.948 QT cp}def f-1758445470 f GR GS [0.375 0 0 0.375 82.56786 30.23611] CT N /f-1948879387{167.281 5.12 M 167.281 4.386 L 169.453 4.386 169.453 3.714 QT 169.453 -7.818 L 169.453 -8.489 167.281 -8.489 QT 167.281 -9.224 L 173.578 -9.224 L 173.578 -8.489 L 171.406 -8.489 171.406 -7.818 QT 171.406 -2.708 L 177.609 -2.708 L 177.609 -7.818 L 177.609 -8.489 175.437 -8.489 QT 175.437 -9.224 L 181.718 -9.224 L 181.718 -8.489 L 179.562 -8.489 179.562 -7.818 QT 179.562 3.714 L 179.562 4.386 181.718 4.386 QT 181.718 5.12 L 175.437 5.12 L 175.437 4.386 L 177.609 4.386 177.609 3.714 QT 177.609 -1.974 L 171.406 -1.974 L 171.406 3.714 L 171.406 4.386 173.578 4.386 QT 173.578 5.12 L 167.281 5.12 L cp}def f-1948879387 f GR GS [0.375 0 0 0.375 82.56786 30.23611] CT N /f1689930186{183.468 5.12 M 183.218 5.12 183.218 4.886 QT 183.218 4.714 L 183.218 4.636 183.281 4.573 QT 189.156 -3.38 L 187.265 -3.38 L 186.374 -3.38 185.796 -3.271 QT 185.218 -3.161 184.843 -2.849 QT 184.468 -2.536 184.296 -1.982 QT 184.124 -1.427 184.124 -0.474 QT 183.515 -0.474 L 183.765 -3.927 L 190.796 -3.927 L 190.89 -3.927 190.953 -3.864 QT 191.015 -3.802 191.015 -3.693 QT 191.015 -3.583 L 191.015 -3.521 190.984 -3.427 QT 185.109 4.511 L 187.109 4.511 L 188.031 4.511 188.64 4.401 QT 189.249 4.292 189.671 3.854 QT 190.078 3.464 190.226 2.784 QT 190.374 2.104 190.453 1.104 QT 191.062 1.104 L 190.703 5.12 L 183.468 5.12 L cp}def f1689930186 f GR GS [0.375 0 0 0.375 82.56786 30.23611] CT N /f982786409{193.481 10.37 M 193.293 10.37 193.293 10.182 QT 193.293 10.089 193.34 10.057 QT 196.934 6.542 196.934 -0.13 QT 196.934 -6.802 193.387 -10.271 QT 193.293 -10.318 193.293 -10.443 QT 193.293 -10.521 193.356 -10.575 QT 193.418 -10.63 193.481 -10.63 QT 193.684 -10.63 L 193.747 -10.63 193.778 -10.583 QT 195.293 -9.396 196.293 -7.693 QT 197.293 -5.989 197.762 -4.068 QT 198.231 -2.146 198.231 -0.13 QT 198.231 1.354 197.981 2.8 QT 197.731 4.245 197.184 5.643 QT 196.637 7.042 195.793 8.221 QT 194.95 9.401 193.778 10.323 QT 193.747 10.37 193.684 10.37 QT 193.481 10.37 L cp}def f982786409 f GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 134.015 80.63 M 214.169 80.63 L S GR GS [0.375 0 0 0.375 65.28465 30.23611] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-4508157 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-867367058 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f1978480471 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-1618654897 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-1984925873 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N /f-17944666{75.124 5.12 M 75.124 4.557 L 75.124 4.511 75.171 4.448 QT 78.421 0.839 L 79.171 0.026 79.632 -0.513 QT 80.092 -1.052 80.538 -1.763 QT 80.983 -2.474 81.249 -3.2 QT 81.514 -3.927 81.514 -4.755 QT 81.514 -5.614 81.194 -6.404 QT 80.874 -7.193 80.241 -7.661 QT 79.608 -8.13 78.717 -8.13 QT 77.811 -8.13 77.085 -7.583 QT 76.358 -7.036 76.061 -6.161 QT 76.139 -6.177 76.28 -6.177 QT 76.749 -6.177 77.085 -5.864 QT 77.421 -5.552 77.421 -5.036 QT 77.421 -4.568 77.085 -4.232 QT 76.749 -3.896 76.28 -3.896 QT 75.796 -3.896 75.46 -4.239 QT 75.124 -4.583 75.124 -5.036 QT 75.124 -5.833 75.421 -6.521 QT 75.717 -7.208 76.28 -7.747 QT 76.842 -8.286 77.538 -8.575 QT 78.233 -8.864 79.03 -8.864 QT 80.233 -8.864 81.264 -8.357 QT 82.296 -7.849 82.905 -6.919 QT 83.514 -5.989 83.514 -4.755 QT 83.514 -3.849 83.116 -3.029 QT 82.717 -2.208 82.092 -1.536 QT 81.467 -0.864 80.491 -0.013 QT 79.514 0.839 79.202 1.136 QT 76.827 3.417 L 78.842 3.417 L 80.327 3.417 81.327 3.393 QT 82.327 3.37 82.389 3.307 QT 82.639 3.042 82.889 1.37 QT 83.514 1.37 L 82.921 5.12 L 75.124 5.12 L cp}def f-17944666 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N /f-198717070{89.994 5.589 M 87.415 5.589 86.494 3.464 QT 85.572 1.339 85.572 -1.583 QT 85.572 -3.396 85.9 -5.005 QT 86.228 -6.614 87.22 -7.739 QT 88.212 -8.864 89.994 -8.864 QT 91.384 -8.864 92.259 -8.193 QT 93.134 -7.521 93.603 -6.443 QT 94.072 -5.364 94.236 -4.146 QT 94.4 -2.927 94.4 -1.583 QT 94.4 0.229 94.072 1.8 QT 93.744 3.37 92.767 4.479 QT 91.79 5.589 89.994 5.589 QT cp 89.994 5.042 M 91.165 5.042 91.736 3.839 QT 92.306 2.636 92.439 1.182 QT 92.572 -0.271 92.572 -1.911 QT 92.572 -3.489 92.439 -4.825 QT 92.306 -6.161 91.736 -7.239 QT 91.165 -8.318 89.994 -8.318 QT 88.806 -8.318 88.228 -7.232 QT 87.65 -6.146 87.517 -4.818 QT 87.384 -3.489 87.384 -1.911 QT 87.384 -0.739 87.447 0.292 QT 87.509 1.323 87.751 2.425 QT 87.994 3.526 88.54 4.284 QT 89.087 5.042 89.994 5.042 QT cp}def f-198717070 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f2027195604 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f789089020 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-1270960318 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-2061917800 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f1389631518 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-251646990 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-1758445470 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f-1948879387 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f1689930186 f GR GS [0.375 0 0 0.375 82.56786 40.26389] CT N f982786409 f GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 134.015 107.37 M 214.169 107.37 L S GR GS [0.375 0 0 0.375 65.28465 40.26389] CT N f1272693692 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-4508157 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-867367058 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f1978480471 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-1618654897 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-1984925873 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N /f-1799443748{76.077 3.495 M 76.561 4.214 77.397 4.565 QT 78.233 4.917 79.186 4.917 QT 80.405 4.917 80.921 3.878 QT 81.436 2.839 81.436 1.511 QT 81.436 0.917 81.327 0.323 QT 81.217 -0.271 80.96 -0.786 QT 80.702 -1.302 80.257 -1.607 QT 79.811 -1.911 79.171 -1.911 QT 77.764 -1.911 L 77.577 -1.911 77.577 -2.114 QT 77.577 -2.286 L 77.577 -2.458 77.764 -2.458 QT 78.921 -2.552 L 79.671 -2.552 80.155 -3.107 QT 80.639 -3.661 80.866 -4.45 QT 81.092 -5.239 81.092 -5.958 QT 81.092 -6.974 80.624 -7.614 QT 80.155 -8.255 79.186 -8.255 QT 78.389 -8.255 77.655 -7.958 QT 76.921 -7.661 76.499 -7.036 QT 76.546 -7.052 76.569 -7.06 QT 76.592 -7.068 76.639 -7.068 QT 77.108 -7.068 77.428 -6.739 QT 77.749 -6.411 77.749 -5.943 QT 77.749 -5.489 77.428 -5.161 QT 77.108 -4.833 76.639 -4.833 QT 76.186 -4.833 75.858 -5.161 QT 75.53 -5.489 75.53 -5.943 QT 75.53 -6.849 76.069 -7.513 QT 76.608 -8.177 77.467 -8.521 QT 78.327 -8.864 79.186 -8.864 QT 79.827 -8.864 80.53 -8.677 QT 81.233 -8.489 81.811 -8.138 QT 82.389 -7.786 82.749 -7.232 QT 83.108 -6.677 83.108 -5.958 QT 83.108 -5.083 82.717 -4.333 QT 82.327 -3.583 81.639 -3.044 QT 80.952 -2.505 80.124 -2.239 QT 81.046 -2.052 81.866 -1.544 QT 82.686 -1.036 83.178 -0.232 QT 83.671 0.573 83.671 1.495 QT 83.671 2.651 83.038 3.589 QT 82.405 4.526 81.366 5.057 QT 80.327 5.589 79.186 5.589 QT 78.202 5.589 77.21 5.214 QT 76.217 4.839 75.585 4.089 QT 74.952 3.339 74.952 2.292 QT 74.952 1.761 75.303 1.417 QT 75.655 1.073 76.186 1.073 QT 76.514 1.073 76.796 1.229 QT 77.077 1.386 77.241 1.675 QT 77.405 1.964 77.405 2.292 QT 77.405 2.807 77.046 3.151 QT 76.686 3.495 76.186 3.495 QT 76.077 3.495 L cp}def f-1799443748 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-198717070 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f2027195604 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f789089020 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-1270960318 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-2061917800 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f1389631518 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-251646990 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-1758445470 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f-1948879387 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f1689930186 f GR GS [0.375 0 0 0.375 82.56786 50.29167] CT N f982786409 f GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 134.015 134.111 M 214.169 134.111 L S GR GS [0.375 0 0 0.375 65.28465 50.29167] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 0 0] CT 0.149 GC 10.0 ML 1.333 LW N 126 151 M 126 37 L 429 37 L 429 151 L cp S GR GS [0.375 0 0 0.375 0 0] CT 1 GC N 647 724 M 1090 724 L 1090 18 L 647 18 L cp f GR GS [0.375 0 0 0.375 0 0] CT 0.873 GC 1 LJ 1.333 LW N 647 724 M 647 18 L S GR GS [0.375 0 0 0.375 0 0] CT 0.873 GC 1 LJ 1.333 LW N 735.6 724 M 735.6 18 L S GR GS [0.375 0 0 0.375 0 0] CT 0.873 GC 1 LJ 1.333 LW N 824.2 724 M 824.2 18 L S GR 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cp}def f1501939809 f GR GS [0 -0.375 0.375 0 227.7 139.12487] CT 0.149 GC N /f328369066{93.118 -11.52 M 93.118 -12.645 L 96.415 -12.645 96.415 -13.661 QT 96.415 -31.239 L 96.415 -32.254 93.118 -32.254 QT 93.118 -33.379 L 102.696 -33.379 L 102.696 -32.254 L 99.399 -32.254 99.399 -31.239 QT 99.399 -23.458 L 108.837 -23.458 L 108.837 -31.239 L 108.837 -32.254 105.54 -32.254 QT 105.54 -33.379 L 115.102 -33.379 L 115.102 -32.254 L 111.821 -32.254 111.821 -31.239 QT 111.821 -13.661 L 111.821 -12.645 115.102 -12.645 QT 115.102 -11.52 L 105.54 -11.52 L 105.54 -12.645 L 108.837 -12.645 108.837 -13.661 QT 108.837 -22.333 L 99.399 -22.333 L 99.399 -13.661 L 99.399 -12.645 102.696 -12.645 QT 102.696 -11.52 L 93.118 -11.52 L cp}def f328369066 f GR GS [0 -0.375 0.375 0 227.7 139.12487] CT 0.149 GC N /f428012330{117.384 -11.52 M 117.024 -11.52 117.024 -11.879 QT 117.024 -12.129 L 117.024 -12.254 117.118 -12.348 QT 126.055 -24.473 L 123.18 -24.473 L 121.821 -24.473 120.938 -24.301 QT 120.055 -24.129 119.485 -23.653 QT 118.915 -23.176 118.657 -22.34 QT 118.399 -21.504 118.399 -20.036 QT 117.477 -20.036 L 117.837 -25.317 L 128.555 -25.317 L 128.696 -25.317 128.798 -25.215 QT 128.899 -25.114 128.899 -24.958 QT 128.899 -24.77 L 128.899 -24.676 128.837 -24.551 QT 119.884 -12.442 L 122.946 -12.442 L 124.337 -12.442 125.266 -12.614 QT 126.196 -12.786 126.852 -13.442 QT 127.462 -14.051 127.688 -15.083 QT 127.915 -16.114 128.04 -17.629 QT 128.962 -17.629 L 128.415 -11.52 L 117.384 -11.52 L cp}def f428012330 f GR GS [0 -0.375 0.375 0 227.7 139.12487] CT 0.149 GC N /f1213372507{132.434 -3.52 M 132.153 -3.52 132.153 -3.801 QT 132.153 -3.942 132.215 -4.004 QT 137.684 -9.348 137.684 -19.52 QT 137.684 -29.692 132.278 -34.973 QT 132.153 -35.051 132.153 -35.239 QT 132.153 -35.348 132.239 -35.434 QT 132.325 -35.52 132.434 -35.52 QT 132.731 -35.52 L 132.825 -35.52 132.887 -35.458 QT 135.184 -33.645 136.715 -31.051 QT 138.246 -28.458 138.957 -25.52 QT 139.668 -22.583 139.668 -19.52 QT 139.668 -17.254 139.286 -15.059 QT 138.903 -12.864 138.067 -10.731 QT 137.231 -8.598 135.95 -6.794 QT 134.668 -4.989 132.887 -3.583 QT 132.825 -3.52 132.731 -3.52 QT 132.434 -3.52 L cp}def f1213372507 f GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 647 692.841 M 691.3 570.221 L 735.6 496.208 L 779.9 431.828 L 824.2 366.409 L 868.5 302.017 L 912.8 245.751 L 957.1 192.014 L 1001.4 135.703 L 1045.7 91.697 L 1090 59.787 L S GR GS [0.375 0 0 0.375 242.625 259.81524] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 259.2375 213.83304] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 275.84999 186.07808] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 292.46251 161.93544] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 309.075 137.40321] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 325.6875 113.25633] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 342.3 92.15655] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 358.91249 72.00541] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 375.52501 50.88863] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 392.13748 34.38645] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 408.75 22.42008] CT 10.0 ML 4 LW N -6 -6 M -6 6 L 6 6 L 6 -6 L cp S GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 647 688.133 M 691.3 547.909 L 735.6 458.858 L 779.9 382.482 L 824.2 301.911 L 868.5 225.144 L 912.8 159.933 L 957.1 105.855 L 1001.4 55.443 L 1045.7 28.48 L 1090 28.924 L S GR GS [0.375 0 0 0.375 242.625 258.0498] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 259.2375 205.46587] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 275.84999 172.07181] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 292.46251 143.43081] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 309.075 113.21651] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 325.6875 84.42886] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 342.3 59.97499] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 358.91249 39.6958] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 375.52501 20.79113] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 392.13748 10.67993] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 408.75 10.84641] CT 10.0 ML 4 LW N -5.657 -5.657 M 5.657 5.657 L -5.657 5.657 M 5.657 -5.657 L S GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 647 619.729 M 691.3 521.14 L 735.6 431.951 L 779.9 347.916 L 824.2 270.68 L 868.5 202.955 L 912.8 155.263 L 957.1 143.592 L 1001.4 156.982 L 1045.7 201.862 L 1090 264.802 L S GR GS [0.375 0 0 0.375 242.625 232.39819] CT N f1272693692 f GR GS [0.375 0 0 0.375 259.2375 195.42748] CT N f1272693692 f GR GS [0.375 0 0 0.375 275.84999 161.98148] CT N f1272693692 f GR GS [0.375 0 0 0.375 292.46251 130.46837] CT N f1272693692 f GR GS [0.375 0 0 0.375 309.075 101.50503] CT N f1272693692 f GR GS [0.375 0 0 0.375 325.6875 76.10813] CT N f1272693692 f GR GS [0.375 0 0 0.375 342.3 58.2238] CT N f1272693692 f GR GS [0.375 0 0 0.375 358.91249 53.84696] CT N f1272693692 f GR GS [0.375 0 0 0.375 375.52501 58.86835] CT N f1272693692 f GR GS [0.375 0 0 0.375 392.13748 75.69809] CT N f1272693692 f GR GS [0.375 0 0 0.375 408.75 99.30058] CT N f1272693692 f GR GS [0.375 0 0 0.375 0 0] CT 1 LJ 4 LW N 647 618.914 M 691.3 519.641 L 735.6 424.424 L 779.9 341.745 L 824.2 263.003 L 868.5 216.446 L 912.8 215.148 L 957.1 260.708 L 1001.4 327.662 L 1045.7 415.523 L 1090 521.004 L S GR GS [0.375 0 0 0.375 242.625 232.09282] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 259.2375 194.86537] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 275.84999 159.15912] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 292.46251 128.15451] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 309.075 98.62619] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 325.6875 81.16726] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 342.3 80.68038] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 358.91249 97.76556] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 375.52501 122.87307] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 392.13748 155.82127] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 408.75 195.37637] CT 10.0 ML 4 LW N 0 -10.664 M -9.235 5.332 L 9.235 5.332 L cp S GR GS [0.375 0 0 0.375 0 0] CT 1 GC N 875 148 M 875 34 L 676 34 L 676 148 L cp f GR GS [0.375 0 0 0.375 288.82816 19.08333] CT N /f2050384667{2.5 9.995 M 2.5 -10.255 L 2.5 -10.411 2.625 -10.521 QT 2.75 -10.63 2.922 -10.63 QT 3.078 -10.63 3.211 -10.521 QT 3.344 -10.411 3.344 -10.255 QT 3.344 9.995 L 3.344 10.151 3.211 10.261 QT 3.078 10.37 2.922 10.37 QT 2.75 10.37 2.625 10.261 QT 2.5 10.151 2.5 9.995 QT cp}def f2050384667 f GR GS [0.375 0 0 0.375 288.82816 19.08333] CT N /f-1388805278{6.488 5.073 M 6.488 4.714 6.754 4.073 QT 7.02 3.432 7.332 3.432 QT 7.348 3.432 7.395 3.464 QT 7.707 3.776 8.145 3.964 QT 8.582 4.151 9.02 4.151 QT 9.457 4.151 10.051 3.026 QT 10.645 1.901 11.176 0.471 QT 11.707 -0.958 11.942 -1.661 QT 12.317 -2.818 12.637 -4.005 QT 12.957 -5.193 13.199 -6.357 QT 13.442 -7.521 13.613 -8.802 QT 13.613 -8.927 13.754 -9.068 QT 13.973 -9.286 14.301 -9.489 QT 14.582 -9.63 14.926 -9.693 QT 15.067 -9.693 L 15.207 -9.614 15.223 -9.536 QT 15.582 -7.396 16.028 -5.263 QT 16.473 -3.13 17.051 -1.138 QT 17.629 0.854 18.332 2.261 QT 20.098 0.573 21.551 -1.052 QT 22.738 -2.396 23.66 -3.466 QT 24.582 -4.536 25.324 -5.411 QT 26.067 -6.286 27.153 -7.583 QT 28.238 -8.88 28.707 -9.474 QT 28.91 -9.693 29.035 -9.693 QT 29.192 -9.693 29.192 -9.333 QT 29.192 -9.036 29.067 -8.614 QT 28.129 -3.989 27.723 0.792 QT 27.66 1.511 27.66 2.245 QT 27.66 3.042 27.77 3.979 QT 27.801 4.417 28.27 4.495 QT 28.848 4.182 29.238 4.136 QT 29.363 4.136 L 29.504 4.214 29.504 4.292 QT 29.504 4.714 28.473 5.221 QT 27.442 5.729 26.926 5.729 QT 26.801 5.729 L 26.145 5.729 25.965 4.971 QT 25.785 4.214 25.785 3.136 QT 25.785 0.229 26.801 -5.614 QT 25.395 -3.927 24.504 -2.872 QT 23.613 -1.818 22.715 -0.786 QT 21.817 0.245 20.77 1.37 QT 19.723 2.495 18.91 3.292 QT 17.91 4.354 17.692 4.401 QT 17.551 4.401 L 17.192 4.229 16.559 2.729 QT 15.926 1.229 15.66 0.354 QT 15.176 -1.38 14.778 -3.021 QT 14.379 -4.661 14.004 -6.443 QT 13.832 -5.521 13.215 -3.388 QT 12.598 -1.255 11.793 0.932 QT 10.988 3.12 10.074 4.643 QT 9.16 6.167 8.348 6.167 QT 7.817 6.167 7.153 5.854 QT 6.488 5.542 6.488 5.073 QT cp}def f-1388805278 f GR GS [0.375 0 0 0.375 288.82816 19.08333] CT N /f1910524182{32.342 8.054 M 32.342 7.961 32.358 7.914 QT 34.529 -0.758 L 34.592 -1.008 34.608 -1.164 QT 34.608 -1.399 33.639 -1.399 QT 33.483 -1.399 33.483 -1.602 QT 33.483 -1.633 33.514 -1.727 QT 33.545 -1.821 33.584 -1.875 QT 33.623 -1.93 33.686 -1.93 QT 35.717 -2.086 L 35.764 -2.086 L 35.764 -2.071 35.811 -2.047 QT 35.858 -2.024 35.873 -2.008 QT 35.889 -1.946 35.889 -1.899 QT 34.326 4.367 L 34.858 4.148 35.686 3.296 QT 36.514 2.445 36.975 2.07 QT 37.436 1.695 38.139 1.695 QT 38.561 1.695 38.858 1.976 QT 39.154 2.257 39.154 2.679 QT 39.154 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3021 y SDict begin H.S end 2000 3021 a 2000 3021 a SDict begin 9 H.A end 2000 3021 a 2000 3021 a SDict begin [/View [/XYZ H.V]/Dest (cite.NCJT2) cvn /DEST pdfmark end 2000 3021 a 0 TeXcolorgray 66 x FC([11])p 0 TeXcolorgray 42 w(Q.-D.)j(V)-5 b(u,)27 b(L.-N.)f(T)n(ran,)h(and)h(M.)f(Juntti,)i(\223Noncoherent)i (joint)e(transmission)2119 3162 y(beamforming)e(for)f(dense)h(small)f (cell)h(netw)o(orks:)h(Global)f(optimality)l(,)h(ef)n(\002cient)2119 3236 y(solution)18 b(and)g(distrib)o(uted)h(implementation,)-5 b(\224)21 b FB(IEEE)15 b(T)l(r)o(ans.)i(W)l(ir)n(eless)h(Commun.)p FC(,)2119 3311 y(v)o(ol.)23 b(19,)g(no.)h(9,)f(pp.)g(5891\2265907,)i (Sep.)e(2020.)2000 3325 y SDict begin H.S end 2000 3325 a 2000 3325 a SDict begin 9 H.A end 2000 3325 a 2000 3325 a SDict begin [/View [/XYZ H.V]/Dest (cite.CJT\040outperforms\040NCJT1) cvn /DEST pdfmark end 2000 3325 a 0 TeXcolorgray 61 x FC([12])p 0 TeXcolorgray 2165 3370 a(\250)2152 3386 y(O.)2266 3370 y(\250)2253 3386 y(Ozdogan,)38 b(E.)e(Bj)6 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FC(,)g(v)o(ol.)g(6,)f(no.)g(6,)g(pp.)h(706\226709,)2119 4731 y(Dec.)24 b(2017.)2000 4732 y SDict begin H.S end 2000 4732 a 2000 4732 a SDict begin 9 H.A end 2000 4732 a 2000 4732 a SDict begin [/View [/XYZ H.V]/Dest (cite.hardening\040bound) cvn /DEST pdfmark end 2000 4732 a 0 TeXcolorgray 74 x FC([17])p 0 TeXcolorgray 42 w(M.)d(Medard,)j(\223The)e(ef)n(fect)j (upon)d(channel)j(capacity)g(in)d(wireless)i(communica-)2119 4880 y(tions)k(of)f(perfect)i(and)f(imperfect)h(kno)n(wledge)h(of)d (the)h(channel,)-5 b(\224)30 b FB(IEEE)c(T)l(r)o(ans.)2119 4955 y(Inf)o(.)d(Theory)p FC(,)h(v)o(ol.)g(46,)f(no.)g(3,)g(pp.)h (933\226946,)g(May)g(2000.)2000 4969 y SDict begin H.S end 2000 4969 a 2000 4969 a SDict begin 9 H.A end 2000 4969 a 2000 4969 a SDict begin [/View [/XYZ H.V]/Dest (cite.CVX) cvn /DEST pdfmark end 2000 4969 a 0 TeXcolorgray 61 x FC([18])p 0 TeXcolorgray 42 w(S.)e(Bo)o(yd)h(and)g(L.)e(V)-7 b(andenber)o(ghe,)25 b FB(Con)m(ve)o(x)f(Optimization)p FC(.)h(Cambridge,)e(U.K.:)2119 5104 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