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Baseband - Wikipedia

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id="toc-Various_uses-sublist" class="vector-toc-list"> <li id="toc-Baseband_signal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Baseband_signal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Baseband signal</span> </div> </a> <ul id="toc-Baseband_signal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Baseband_channel" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Baseband_channel"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Baseband channel</span> </div> </a> <ul id="toc-Baseband_channel-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Digital_baseband_transmission" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Digital_baseband_transmission"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Digital baseband transmission</span> </div> </a> <ul id="toc-Digital_baseband_transmission-sublist" class="vector-toc-list"> <li id="toc-Baseband_transmission_in_Ethernet" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Baseband_transmission_in_Ethernet"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3.1</span> <span>Baseband transmission in Ethernet</span> </div> </a> <ul id="toc-Baseband_transmission_in_Ethernet-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Baseband_processor" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Baseband_processor"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Baseband processor</span> </div> </a> <ul id="toc-Baseband_processor-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Equivalent_baseband_signal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Equivalent_baseband_signal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.5</span> <span>Equivalent baseband signal</span> </div> </a> <ul id="toc-Equivalent_baseband_signal-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Modulation" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Modulation"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Modulation</span> </div> </a> <ul id="toc-Modulation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div 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Available in 19 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-19" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">19 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D8%B7%D8%A7%D9%82_%D8%A7%D9%84%D8%A3%D8%B3%D8%A7%D8%B3" title="نطاق الأساس – Arabic" lang="ar" hreflang="ar" data-title="نطاق الأساس" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Banda_base" title="Banda base – Catalan" lang="ca" hreflang="ca" data-title="Banda base" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Z%C3%A1kladn%C3%AD_p%C3%A1smo" title="Základní pásmo – Czech" lang="cs" hreflang="cs" data-title="Základní pásmo" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Basisband" title="Basisband – German" lang="de" hreflang="de" data-title="Basisband" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Banda_base" title="Banda base – Spanish" lang="es" hreflang="es" data-title="Banda base" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Oinarri_banda" title="Oinarri banda – Basque" lang="eu" hreflang="eu" data-title="Oinarri banda" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D8%A7%D9%86%D8%AF%D9%BE%D8%A7%DB%8C%D9%87" title="باندپایه – Persian" lang="fa" hreflang="fa" data-title="باندپایه" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Bande_de_base" title="Bande de base – French" lang="fr" hreflang="fr" data-title="Bande de base" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B8%B0%EC%A0%80_%EB%8C%80%EC%97%AD" title="기저 대역 – Korean" lang="ko" hreflang="ko" data-title="기저 대역" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Pita_basis" title="Pita basis – Indonesian" lang="id" hreflang="id" data-title="Pita basis" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Banda_base" title="Banda base – Italian" lang="it" hreflang="it" data-title="Banda base" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Alaps%C3%A1v" title="Alapsáv – Hungarian" lang="hu" hreflang="hu" data-title="Alapsáv" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Jalur_asas" title="Jalur asas – Malay" lang="ms" hreflang="ms" data-title="Jalur asas" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Basisband" title="Basisband – Dutch" lang="nl" hreflang="nl" data-title="Basisband" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%99%E3%83%BC%E3%82%B9%E3%83%90%E3%83%B3%E3%83%89" title="ベースバンド – Japanese" lang="ja" hreflang="ja" data-title="ベースバンド" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Banda_base" title="Banda base – Portuguese" lang="pt" hreflang="pt" data-title="Banda base" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Pita_dasar" title="Pita dasar – Sundanese" lang="su" hreflang="su" data-title="Pita dasar" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Basband" title="Basband – Swedish" lang="sv" hreflang="sv" data-title="Basband" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%9F%BA%E5%B8%A6" title="基带 – Chinese" lang="zh" hreflang="zh" data-title="基带" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q575784#sitelinks-wikipedia" title="Edit 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href="/wiki/File:Bandlimited2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Bandlimited2.svg/220px-Bandlimited2.svg.png" decoding="async" width="220" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Bandlimited2.svg/330px-Bandlimited2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/92/Bandlimited2.svg/440px-Bandlimited2.svg.png 2x" data-file-width="441" data-file-height="361" /></a><figcaption>Spectrum of a <b>baseband signal</b>, energy <i>E</i> per unit frequency as a function of frequency <i>f</i>. The total energy is the area under the curve.</figcaption></figure> <p>In <a href="/wiki/Telecommunications" title="Telecommunications">telecommunications</a> and <a href="/wiki/Signal_processing" title="Signal processing">signal processing</a>, <b>baseband</b> is the range of frequencies occupied by a <a href="/wiki/Signal_(electrical_engineering)" class="mw-redirect" title="Signal (electrical engineering)">signal</a> that has not been <a href="/wiki/Modulation" title="Modulation">modulated</a> to higher frequencies.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> Baseband signals typically originate from <a href="/wiki/Transducer" title="Transducer">transducers</a>, converting some other variable into an electrical signal. For example, the electronic output of a microphone is a baseband signal that is analogous to the applied voice audio. In conventional <a href="/wiki/Analog_signal" title="Analog signal">analog</a> <a href="/wiki/Radio_broadcasting" title="Radio broadcasting">radio broadcasting</a>, the baseband audio signal is used to <a href="/wiki/Modulation" title="Modulation">modulate</a> an <a href="/wiki/Radio_frequency" title="Radio frequency">RF carrier signal</a> of a much higher frequency. </p><p>A baseband signal may have frequency components going all the way down to the <a href="/wiki/DC_bias" title="DC bias">DC bias</a>, or at least it will have a high <a href="/wiki/Ratio_bandwidth" class="mw-redirect" title="Ratio bandwidth">ratio bandwidth</a>. A modulated baseband signal is called a <a href="/wiki/Passband_signal" class="mw-redirect" title="Passband signal">passband signal</a>. This occupies a higher range of frequencies and has a lower ratio and <a href="/wiki/Fractional_bandwidth" class="mw-redirect" title="Fractional bandwidth">fractional bandwidth</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Various_uses">Various uses</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=1" title="Edit section: Various uses"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Baseband_signal">Baseband signal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=2" title="Edit section: Baseband signal"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <i>baseband signal</i> or <i>lowpass signal</i> is a signal that can include frequencies that are very near zero, by comparison with its highest frequency (for example, a sound waveform can be considered as a baseband signal, whereas a radio signal or any other modulated signal is not).<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p><p>A <i>baseband <a href="/wiki/Bandwidth_(signal_processing)" title="Bandwidth (signal processing)">bandwidth</a></i> is equal to the highest frequency of a signal or system, or an upper bound on such frequencies,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> for example the upper <a href="/wiki/Cut-off_frequency" class="mw-redirect" title="Cut-off frequency">cut-off frequency</a> of a <a href="/wiki/Low-pass_filter" title="Low-pass filter">low-pass filter</a>. By contrast, <a href="/wiki/Passband" title="Passband">passband</a> bandwidth is the difference between a highest frequency and a nonzero lowest frequency. </p> <div class="mw-heading mw-heading3"><h3 id="Baseband_channel">Baseband channel</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=3" title="Edit section: Baseband channel"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <i>baseband channel</i> or <i>lowpass channel</i> (or <i>system</i>, or <i>network</i>) is a <a href="/wiki/Communication_channel" title="Communication channel">communication channel</a> that can transfer frequencies that are very near zero.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> Examples are serial cables and <a href="/wiki/Local_area_network" title="Local area network">local area networks</a> (LANs), as opposed to <a href="/wiki/Passband" title="Passband">passband</a> channels such as radio frequency channels and passband filtered wires of the analog telephone network. <a href="/wiki/Frequency_division_multiplexing" class="mw-redirect" title="Frequency division multiplexing">Frequency division multiplexing</a> (FDM) allows an analog telephone wire to carry a baseband telephone call, concurrently as one or several carrier-modulated telephone calls. </p> <div class="mw-heading mw-heading3"><h3 id="Digital_baseband_transmission">Digital baseband transmission</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=4" title="Edit section: Digital baseband transmission"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Line_code" title="Line code">Line code</a></div> <p>Digital baseband transmission, also known as <a href="/wiki/Line_coding" class="mw-redirect" title="Line coding">line coding</a>,<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> aims at transferring a digital bit stream over baseband channel, typically an unfiltered wire, contrary to <a href="/wiki/Passband" title="Passband">passband</a> transmission, also known as <i>carrier-modulated</i> transmission.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> Passband transmission makes communication possible over a bandpass filtered channel, such as the telephone network local-loop or a band-limited wireless channel.<sup id="cite_ref-:0_7-0" class="reference"><a href="#cite_note-:0-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Baseband_transmission_in_Ethernet"><span class="anchor" id="Baseband_Ethernet"></span>Baseband transmission in Ethernet</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=5" title="Edit section: Baseband transmission in Ethernet"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The word "BASE" in <a href="/wiki/Ethernet_physical_layer" title="Ethernet physical layer">Ethernet physical layer</a> standards, for example <a href="/wiki/10BASE5" title="10BASE5">10BASE5</a>, <a href="/wiki/100BASE-TX" class="mw-redirect" title="100BASE-TX">100BASE-TX</a> and <a href="/wiki/1000BASE-SX" class="mw-redirect" title="1000BASE-SX">1000BASE-SX</a>, implies baseband digital transmission (i.e. that a <a href="/wiki/Line_code" title="Line code">line code</a> and an unfiltered wire are used).<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-IEEEGetProgram_9-0" class="reference"><a href="#cite_note-IEEEGetProgram-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Baseband_processor">Baseband processor</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=6" title="Edit section: Baseband processor"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <a href="/wiki/Baseband_processor" title="Baseband processor">baseband processor</a> also known as BP or BBP is used to process the down-converted digital signal to retrieve essential data for a wireless digital system. The baseband processing block in <a href="/wiki/Satellite_navigation" title="Satellite navigation">GNSS</a> receivers is responsible for providing observable data: that is, code pseudo-ranges and carrier phase measurements, as well as navigation data.<sup id="cite_ref-:0_7-1" class="reference"><a href="#cite_note-:0-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Equivalent_baseband_signal">Equivalent baseband signal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=7" title="Edit section: Equivalent baseband signal"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:IQ_Mod_Demod_block_diagram.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9a/IQ_Mod_Demod_block_diagram.svg/400px-IQ_Mod_Demod_block_diagram.svg.png" decoding="async" width="400" height="277" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9a/IQ_Mod_Demod_block_diagram.svg/600px-IQ_Mod_Demod_block_diagram.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9a/IQ_Mod_Demod_block_diagram.svg/800px-IQ_Mod_Demod_block_diagram.svg.png 2x" data-file-width="512" data-file-height="355" /></a><figcaption>On the left is a part of the transmitter, which will take in a stream of baseband <a href="/wiki/IQ_data" class="mw-redirect" title="IQ data">IQ data</a>, and use this to amplitude modulate a Local Oscillator's signal, both the standard sine wave from the LO, and also a version which phase shifted by 90° (in-phase and quadrature) - these modulated signals are combined, to form the <a href="/wiki/Intermediate_frequency" title="Intermediate frequency">Intermediate frequency</a> IF representation. In a typical transmitter, the IF would get up-converted, filtered, amplified, then transmitted from an antenna. (These are not shown)<br />On the right we see an aspect of the receiver. After some low-noise amplification, filtering and down-conversion (not shown) to an IF, the signal is mixed with the in-phase sine from the LO, and also the quadrature version of the LO, giving a complex (or 2-dimensional) representation of the signal. This <a href="/wiki/IQ_data" class="mw-redirect" title="IQ data">IQ data</a> could then be supplied to a <a href="/wiki/Digital_signal_processor" title="Digital signal processor">digital signal processor</a> to extract symbols or data.</figcaption></figure> <p>An <i>equivalent baseband signal</i> or <i>equivalent lowpass signal</i> is a complex valued representation of the modulated physical signal (the so-called <a href="/wiki/Passband" title="Passband">passband</a> signal or <a href="/wiki/Radio_frequency" title="Radio frequency">RF</a> signal). It is a concept within analog and digital modulation methods for (passband) signals with constant or varying <a href="/wiki/Carrier_frequency" class="mw-redirect" title="Carrier frequency">carrier frequency</a> (for example <a href="/wiki/Amplitude-shift_keying" title="Amplitude-shift keying">ASK</a>, <a href="/wiki/Phase-shift_keying" title="Phase-shift keying">PSK</a> <a href="/wiki/Quadrature_amplitude_modulation" title="Quadrature amplitude modulation">QAM</a>, and <a href="/wiki/Frequency-shift_keying" title="Frequency-shift keying">FSK</a>). The equivalent baseband signal is <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Z(t)=I(t)+jQ(t)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Z</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>I</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mi>j</mi> <mi>Q</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Z(t)=I(t)+jQ(t)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a46996b3772fdc4e96a8537e94a4687ad72668cd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.921ex; height:2.843ex;" alt="{\displaystyle Z(t)=I(t)+jQ(t)\,}"></span> where <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2434c9d80c34c95e25cc81ba6700f756a29dac5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.821ex; height:2.843ex;" alt="{\displaystyle I(t)}"></span> is the inphase signal, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Q(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68b7ab35402f0f501cbc361f5309fe64fd678cd0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.487ex; height:2.843ex;" alt="{\displaystyle Q(t)}"></span> the quadrature phase signal, and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle j}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>j</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle j}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f461e54f5c093e92a55547b9764291390f0b5d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.027ex; width:0.985ex; height:2.509ex;" alt="{\displaystyle j}"></span> the imaginary unit. This signal is sometimes called <i><a href="/wiki/IQ_data" class="mw-redirect" title="IQ data">IQ data</a></i>. In a digital modulation method, the <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2434c9d80c34c95e25cc81ba6700f756a29dac5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.821ex; height:2.843ex;" alt="{\displaystyle I(t)}"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Q(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68b7ab35402f0f501cbc361f5309fe64fd678cd0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.487ex; height:2.843ex;" alt="{\displaystyle Q(t)}"></span> signals of each modulation symbol are evident from the <a href="/wiki/Constellation_diagram" title="Constellation diagram">constellation diagram</a>. The frequency spectrum of this signal includes negative as well as positive frequencies. The physical passband signal corresponds to </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I(t)\cos(\omega t)-Q(t)\sin(\omega t)=\mathrm {Re} \{Z(t)e^{j\omega t}\}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mi>cos</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>&#x03C9;<!-- ω --></mi> <mi>t</mi> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>Q</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>&#x03C9;<!-- ω --></mi> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> </mrow> <mo fence="false" stretchy="false">{</mo> <mi>Z</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> <mi>&#x03C9;<!-- ω --></mi> <mi>t</mi> </mrow> </msup> <mo fence="false" stretchy="false">}</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I(t)\cos(\omega t)-Q(t)\sin(\omega t)=\mathrm {Re} \{Z(t)e^{j\omega t}\}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5e234a15f676b225eccdd7afe23b9564b2635434" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:42.571ex; height:3.176ex;" alt="{\displaystyle I(t)\cos(\omega t)-Q(t)\sin(\omega t)=\mathrm {Re} \{Z(t)e^{j\omega t}\}\,}"></span></dd></dl> <p>where <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C9;<!-- ω --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.446ex; height:1.676ex;" alt="{\displaystyle \omega }"></span> is the carrier angular frequency in rad/s.<sup id="cite_ref-Proakis_10-0" class="reference"><a href="#cite_note-Proakis-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Modulation">Modulation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=8" title="Edit section: Modulation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A signal at baseband is often used to <a href="/wiki/Modulation" title="Modulation">modulate</a> a higher frequency <a href="/wiki/Carrier_signal" class="mw-redirect" title="Carrier signal">carrier signal</a> in order that it may be transmitted via radio. Modulation results in shifting the signal up to much higher frequencies (radio frequencies, or RF) than it originally spanned. A key consequence of the usual <a href="/wiki/Double_sideband" class="mw-redirect" title="Double sideband">double-sideband</a> <a href="/wiki/Amplitude_modulation" title="Amplitude modulation">amplitude modulation</a> (AM) is that the range of frequencies the signal spans (its spectral <a href="/wiki/Bandwidth_(signal_processing)" title="Bandwidth (signal processing)">bandwidth</a>) is doubled. Thus, the RF bandwidth of a signal (measured from the lowest frequency as opposed to 0&#160;Hz) is twice its baseband bandwidth. Steps may be taken to reduce this effect, such as <a href="/wiki/Single-sideband_modulation" title="Single-sideband modulation">single-sideband modulation</a>. Conversely, some transmission schemes such as <a href="/wiki/Frequency_modulation" title="Frequency modulation">frequency modulation</a> use even more bandwidth. </p><p>The figure below shows AM modulation: </p> <figure class="mw-halign-center" typeof="mw:File/Frame"><a href="/wiki/File:Baseband_to_RF.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9e/Baseband_to_RF.svg/595px-Baseband_to_RF.svg.png" decoding="async" width="595" height="261" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9e/Baseband_to_RF.svg/893px-Baseband_to_RF.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9e/Baseband_to_RF.svg/1190px-Baseband_to_RF.svg.png 2x" data-file-width="595" data-file-height="261" /></a><figcaption>Comparison of the equivalent baseband version of a signal and its AM-modulated (double-<a href="/wiki/Sideband" title="Sideband">sideband</a>) RF version, showing the typical doubling of the occupied bandwidth.</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=9" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><style data-mw-deduplicate="TemplateStyles:r1237033735">@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/40px-Wiktionary-logo-en-v2.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/60px-Wiktionary-logo-en-v2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/80px-Wiktionary-logo-en-v2.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span></div> <div class="side-box-text plainlist">Look up <i><b><a href="https://en.wiktionary.org/wiki/Special:Search/baseband" class="extiw" title="wiktionary:Special:Search/baseband">baseband</a></b></i> in Wiktionary, the free dictionary.</div></div> </div> <ul><li><a href="/wiki/Complex_envelope" class="mw-redirect" title="Complex envelope">Complex envelope</a></li> <li><a href="/wiki/Broadband" title="Broadband">Broadband</a></li> <li><a href="/wiki/In-phase_and_quadrature_components" title="In-phase and quadrature components">In-phase and quadrature components</a></li> <li><a href="/wiki/Narrowband" title="Narrowband">Narrowband</a></li> <li><a href="/wiki/Wideband" title="Wideband">Wideband</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Baseband&amp;action=edit&amp;section=10" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">Jeff Rutenbeck, <i>Tech Terms: What Every Telecommunications and Digital Media Professional Should Know</i>, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=dfFsAAAAQBAJ&amp;pg=PA24">p. 24</a>, CRC Press, 2012 <style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/1136034501" title="Special:BookSources/1136034501">1136034501</a></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSteven_Alan_Tretter1995" class="citation book cs1">Steven Alan Tretter (1995). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=deHQeNxHhyEC&amp;dq=baseband-signal+lowpass-signal&amp;pg=PA65"><i>Communication System Design Using Dsp Algorithms: With Laboratory Experiments for the TMS320C30</i></a>. Springer. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-306-45032-1" title="Special:BookSources/0-306-45032-1"><bdi>0-306-45032-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Communication+System+Design+Using+Dsp+Algorithms%3A+With+Laboratory+Experiments+for+the+TMS320C30&amp;rft.pub=Springer&amp;rft.date=1995&amp;rft.isbn=0-306-45032-1&amp;rft.au=Steven+Alan+Tretter&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DdeHQeNxHhyEC%26dq%3Dbaseband-signal%2Blowpass-signal%26pg%3DPA65&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABaseband" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMischa_Schwartz1970" class="citation book cs1">Mischa Schwartz (1970). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=-gkjAAAAMAAJ&amp;q=baseband-bandwidth"><i>Information, Transmission, Modulation and Noise: A Unified Approach to Communication Systems</i></a>. McGraw-Hill. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9780070557611" title="Special:BookSources/9780070557611"><bdi>9780070557611</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Information%2C+Transmission%2C+Modulation+and+Noise%3A+A+Unified+Approach+to+Communication+Systems&amp;rft.pub=McGraw-Hill&amp;rft.date=1970&amp;rft.isbn=9780070557611&amp;rft.au=Mischa+Schwartz&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D-gkjAAAAMAAJ%26q%3Dbaseband-bandwidth&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABaseband" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFChris_C._Bissell_and_David_A._Chapman1992" class="citation book cs1">Chris C. Bissell and David A. Chapman (1992). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=cj12nN2uW0AC&amp;dq=called-baseband-channels&amp;pg=PA149"><i>Digital Signal Transmission</i></a>. Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-521-42557-3" title="Special:BookSources/0-521-42557-3"><bdi>0-521-42557-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Digital+Signal+Transmission&amp;rft.pub=Cambridge+University+Press&amp;rft.date=1992&amp;rft.isbn=0-521-42557-3&amp;rft.au=Chris+C.+Bissell+and+David+A.+Chapman&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dcj12nN2uW0AC%26dq%3Dcalled-baseband-channels%26pg%3DPA149&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABaseband" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMikael_Gustavsson_and_J._Jacob_Wikner2000" class="citation book cs1">Mikael Gustavsson and J. Jacob Wikner (2000). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=D_I2XvNOc4wC&amp;dq=passband+baseband&amp;pg=PA28"><i>CMOS Data Converters for Communications</i></a>. Springer. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-7923-7780-X" title="Special:BookSources/0-7923-7780-X"><bdi>0-7923-7780-X</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=CMOS+Data+Converters+for+Communications&amp;rft.pub=Springer&amp;rft.date=2000&amp;rft.isbn=0-7923-7780-X&amp;rft.au=Mikael+Gustavsson+and+J.+Jacob+Wikner&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DD_I2XvNOc4wC%26dq%3Dpassband%2Bbaseband%26pg%3DPA28&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABaseband" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJan_W._M._Bergmans1996" class="citation book cs1">Jan W. M. Bergmans (1996). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=TN-sTybrCLsC&amp;dq=baseband+carrier-modulated&amp;pg=PR11"><i>Digital Baseband Transmission and Recording</i></a>. Springer. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-7923-9775-4" title="Special:BookSources/0-7923-9775-4"><bdi>0-7923-9775-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Digital+Baseband+Transmission+and+Recording&amp;rft.pub=Springer&amp;rft.date=1996&amp;rft.isbn=0-7923-9775-4&amp;rft.au=Jan+W.+M.+Bergmans&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DTN-sTybrCLsC%26dq%3Dbaseband%2Bcarrier-modulated%26pg%3DPR11&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABaseband" class="Z3988"></span></span> </li> <li id="cite_note-:0-7"><span class="mw-cite-backlink">^ <a href="#cite_ref-:0_7-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_7-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://gssc.esa.int/navipedia/index.php/Baseband_Processing">"Baseband Processing - Navipedia"</a>. <i>gssc.esa.int</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-07-04</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=gssc.esa.int&amp;rft.atitle=Baseband+Processing+-+Navipedia&amp;rft_id=https%3A%2F%2Fgssc.esa.int%2Fnavipedia%2Findex.php%2FBaseband_Processing&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABaseband" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">IEEE 802.3 <i>1.2.3 Physical layer and media notation</i></span> </li> <li id="cite_note-IEEEGetProgram-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-IEEEGetProgram_9-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20101125111240/http://standards.ieee.org/about/get/802/802.3.html">"IEEE Get Program"</a>. <i><a href="/wiki/IEEE" class="mw-redirect" title="IEEE">IEEE</a></i>. IEEE. Archived from <a rel="nofollow" class="external text" href="http://standards.ieee.org/about/get/802/802.3.html">the original</a> on November 25, 2010<span class="reference-accessdate">. Retrieved <span class="nowrap">29 March</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=IEEE&amp;rft.atitle=IEEE+Get+Program&amp;rft_id=http%3A%2F%2Fstandards.ieee.org%2Fabout%2Fget%2F802%2F802.3.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABaseband" class="Z3988"></span></span> </li> <li id="cite_note-Proakis-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-Proakis_10-0">^</a></b></span> <span class="reference-text">Proakis, John G. <i>Digital Communications</i>, 4th edition. McGraw-Hill, 2001. p150</span> </li> </ol></div></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output 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