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Digitalna obrada signala — Википедија
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значајних жена\u003C/a\u003E\u003C/b\u003E на Викицитату.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; font-size:25px; line-height:25px\"\u003E\u003Cdiv style=\"padding-left:50px;\"\u003E\u003C/div\u003E\u003C/div\u003E\u003Cdiv style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EПридружите се \u003Cb\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%90%D0%BA%D1%86%D0%B8%D1%98%D0%B0_%D0%BF%D1%80%D0%BE%D1%88%D0%B8%D1%80%D0%B8%D0%B2%D0%B0%D1%9A%D0%B0_%D0%BA%D0%BB%D0%B8%D1%86%D0%B0\" title=\"Википедија:Акција проширивања клица\"\u003Eакцији проширивања клица\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Сајт"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Садржај" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" 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class="vector-toc-link" href="#Signal_uzimanja_uzoraka"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Signal uzimanja uzoraka</span> </div> </a> <ul id="toc-Signal_uzimanja_uzoraka-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Domeni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Domeni"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Domeni</span> </div> </a> <button aria-controls="toc-Domeni-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Садржај одељка Domeni</span> </button> <ul id="toc-Domeni-sublist" class="vector-toc-list"> <li id="toc-Vremenski_i_prostorni_domen" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Vremenski_i_prostorni_domen"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Vremenski i prostorni domen</span> </div> </a> <ul id="toc-Vremenski_i_prostorni_domen-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Frekventni_domen" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Frekventni_domen"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Frekventni domen</span> </div> </a> <ul id="toc-Frekventni_domen-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Z-ravan_analiza" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Z-ravan_analiza"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Z-ravan analiza</span> </div> </a> <ul id="toc-Z-ravan_analiza-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Talasić_domen" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Talasić_domen"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Talasić domen</span> </div> </a> <ul id="toc-Talasić_domen-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Aplikacije" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Aplikacije"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Aplikacije</span> </div> </a> <ul id="toc-Aplikacije-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Implementacija" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Implementacija"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Implementacija</span> </div> </a> <ul id="toc-Implementacija-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vidi_još" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vidi_još"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Vidi još</span> </div> </a> <ul id="toc-Vidi_još-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Beleške" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Beleške"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Beleške</span> </div> </a> <ul id="toc-Beleške-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Reference" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Reference"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Reference</span> </div> </a> <ul id="toc-Reference-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Literatura" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Literatura"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Literatura</span> </div> </a> <ul id="toc-Literatura-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Садржај" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Прикажи/сакриј садржај" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Прикажи/сакриј садржај</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Digitalna obrada signala</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Чланак на другим језицима. Доступан на: 39" > <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-39" 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">39 језика</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%85%D8%B9%D8%A7%D9%84%D8%AC%D8%A9_%D8%B1%D9%82%D9%85%D9%8A%D8%A9_%D9%84%D9%84%D8%A5%D8%B4%D8%A7%D8%B1%D8%A9" title="معالجة رقمية للإشارة — арапски" lang="ar" hreflang="ar" data-title="معالجة رقمية للإشارة" data-language-autonym="العربية" data-language-local-name="арапски" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Pengolahan_sinyal_digital" title="Pengolahan sinyal digital — индонежански" lang="id" hreflang="id" data-title="Pengolahan sinyal digital" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонежански" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Pemprosesan_isyarat_digital" title="Pemprosesan isyarat digital — малајски" lang="ms" hreflang="ms" data-title="Pemprosesan isyarat digital" data-language-autonym="Bahasa Melayu" data-language-local-name="малајски" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Processament_de_senyals_digitals" title="Processament de senyals digitals — каталонски" lang="ca" hreflang="ca" data-title="Processament de senyals digitals" data-language-autonym="Català" data-language-local-name="каталонски" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Digital_signalbehandling" title="Digital signalbehandling — дански" lang="da" hreflang="da" data-title="Digital signalbehandling" data-language-autonym="Dansk" data-language-local-name="дански" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Digitale_Signalverarbeitung" title="Digitale Signalverarbeitung — немачки" lang="de" hreflang="de" data-title="Digitale Signalverarbeitung" data-language-autonym="Deutsch" data-language-local-name="немачки" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Digitaalne_signaalit%C3%B6%C3%B6tlus" title="Digitaalne signaalitöötlus — естонски" lang="et" hreflang="et" data-title="Digitaalne signaalitöötlus" data-language-autonym="Eesti" data-language-local-name="естонски" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A8%CE%B7%CF%86%CE%B9%CE%B1%CE%BA%CE%AE_%CE%B5%CF%80%CE%B5%CE%BE%CE%B5%CF%81%CE%B3%CE%B1%CF%83%CE%AF%CE%B1_%CF%83%CE%AE%CE%BC%CE%B1%CF%84%CE%BF%CF%82" title="Ψηφιακή επεξεργασία σήματος — грчки" lang="el" hreflang="el" data-title="Ψηφιακή επεξεργασία σήματος" data-language-autonym="Ελληνικά" data-language-local-name="грчки" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Digital_signal_processing" title="Digital signal processing — енглески" lang="en" hreflang="en" data-title="Digital signal processing" data-language-autonym="English" data-language-local-name="енглески" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Procesamiento_digital_de_se%C3%B1ales" title="Procesamiento digital de señales — шпански" lang="es" hreflang="es" data-title="Procesamiento digital de señales" data-language-autonym="Español" data-language-local-name="шпански" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%BE%D8%B1%D8%AF%D8%A7%D8%B2%D8%B4_%D8%B3%DB%8C%DA%AF%D9%86%D8%A7%D9%84_%D8%AF%DB%8C%D8%AC%DB%8C%D8%AA%D8%A7%D9%84" title="پردازش سیگنال دیجیتال — персијски" lang="fa" hreflang="fa" data-title="پردازش سیگنال دیجیتال" data-language-autonym="فارسی" data-language-local-name="персијски" 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/Traitement_num%C3%A9rique_du_signal" title="Traitement numérique du signal — француски" lang="fr" hreflang="fr" data-title="Traitement numérique du signal" data-language-autonym="Français" data-language-local-name="француски" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Procesado_dixital_de_sinais" title="Procesado dixital de sinais — галицијски" lang="gl" hreflang="gl" data-title="Procesado dixital de sinais" data-language-autonym="Galego" data-language-local-name="галицијски" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A2%D7%99%D7%91%D7%95%D7%93_%D7%90%D7%95%D7%AA%D7%95%D7%AA_%D7%A1%D7%A4%D7%A8%D7%AA%D7%99" title="עיבוד אותות ספרתי — хебрејски" lang="he" hreflang="he" data-title="עיבוד אותות ספרתי" data-language-autonym="עברית" data-language-local-name="хебрејски" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%85%E0%A4%82%E0%A4%95%E0%A5%80%E0%A4%AF_%E0%A4%B8%E0%A4%82%E0%A4%95%E0%A5%87%E0%A4%A4_%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%A3" title="अंकीय संकेत प्रक्रमण — хинди" lang="hi" hreflang="hi" data-title="अंकीय संकेत प्रक्रमण" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Ukudludlungwa_kwesiyabizo_sezezibhangqiwe" title="Ukudludlungwa kwesiyabizo sezezibhangqiwe — зулу" lang="zu" hreflang="zu" data-title="Ukudludlungwa kwesiyabizo sezezibhangqiwe" data-language-autonym="IsiZulu" data-language-local-name="зулу" class="interlanguage-link-target"><span>IsiZulu</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Elaborazione_numerica_dei_segnali" title="Elaborazione numerica dei segnali — италијански" lang="it" hreflang="it" data-title="Elaborazione numerica dei segnali" data-language-autonym="Italiano" data-language-local-name="италијански" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%87%E3%82%B8%E3%82%BF%E3%83%AB%E4%BF%A1%E5%8F%B7%E5%87%A6%E7%90%86" title="デジタル信号処理 — јапански" lang="ja" hreflang="ja" data-title="デジタル信号処理" data-language-autonym="日本語" data-language-local-name="јапански" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A4%D0%B0%D0%B7%D0%B0%D0%BB%D1%8B%D2%9B_%D1%82%D1%8B%D2%93%D1%8B%D0%B7%D0%B4%D0%B0%D1%83" title="Фазалық тығыздау — казашки" lang="kk" hreflang="kk" data-title="Фазалық тығыздау" data-language-autonym="Қазақша" data-language-local-name="казашки" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%94%94%EC%A7%80%ED%84%B8_%EC%8B%A0%ED%98%B8_%EC%B2%98%EB%A6%AC" title="디지털 신호 처리 — корејски" lang="ko" hreflang="ko" data-title="디지털 신호 처리" data-language-autonym="한국어" data-language-local-name="корејски" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Digit%C3%A1lis_jelfeldolgoz%C3%A1s" title="Digitális jelfeldolgozás — мађарски" lang="hu" hreflang="hu" data-title="Digitális jelfeldolgozás" data-language-autonym="Magyar" data-language-local-name="мађарски" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%94%D0%B8%D0%B3%D0%B8%D1%82%D0%B0%D0%BB%D0%BD%D0%B0_%D0%BE%D0%B1%D1%80%D0%B0%D0%B1%D0%BE%D1%82%D0%BA%D0%B0_%D0%BD%D0%B0_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB" title="Дигитална обработка на сигнал — македонски" lang="mk" hreflang="mk" data-title="Дигитална обработка на сигнал" data-language-autonym="Македонски" data-language-local-name="македонски" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BE%D0%BD_%D0%B4%D0%BE%D1%85%D0%B8%D0%BE_%D0%B1%D0%BE%D0%BB%D0%BE%D0%B2%D1%81%D1%80%D1%83%D1%83%D0%BB%D0%B0%D0%BB%D1%82" title="Тоон дохио боловсруулалт — монголски" lang="mn" hreflang="mn" data-title="Тоон дохио боловсруулалт" data-language-autonym="Монгол" data-language-local-name="монголски" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Digitale_signaalverwerking" title="Digitale signaalverwerking — холандски" lang="nl" hreflang="nl" data-title="Digitale signaalverwerking" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Digital_signalbehandling" title="Digital signalbehandling — норвешки букмол" lang="nb" hreflang="nb" data-title="Digital signalbehandling" data-language-autonym="Norsk bokmål" data-language-local-name="норвешки букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Digital_signalhandsaming" title="Digital signalhandsaming — норвешки нинорск" lang="nn" hreflang="nn" data-title="Digital signalhandsaming" data-language-autonym="Norsk nynorsk" data-language-local-name="норвешки нинорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Cyfrowe_przetwarzanie_sygna%C5%82%C3%B3w" title="Cyfrowe przetwarzanie sygnałów — пољски" lang="pl" hreflang="pl" data-title="Cyfrowe przetwarzanie sygnałów" data-language-autonym="Polski" data-language-local-name="пољски" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Processamento_digital_de_sinais" title="Processamento digital de sinais — португалски" lang="pt" hreflang="pt" data-title="Processamento digital de sinais" data-language-autonym="Português" data-language-local-name="португалски" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B0%D1%8F_%D0%BE%D0%B1%D1%80%D0%B0%D0%B1%D0%BE%D1%82%D0%BA%D0%B0_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB%D0%BE%D0%B2" title="Цифровая обработка сигналов — руски" lang="ru" hreflang="ru" data-title="Цифровая обработка сигналов" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/P%C3%ABrpunimi_numerik_i_sinjalit" title="Përpunimi numerik i sinjalit — албански" lang="sq" hreflang="sq" data-title="Përpunimi numerik i sinjalit" data-language-autonym="Shqip" data-language-local-name="албански" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Digital_signal_processing" title="Digital signal processing — Simple English" lang="en-simple" hreflang="en-simple" data-title="Digital signal processing" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Digitalna_obdelava_signalov" title="Digitalna obdelava signalov — словеначки" lang="sl" hreflang="sl" data-title="Digitalna obdelava signalov" data-language-autonym="Slovenščina" data-language-local-name="словеначки" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Digitaalinen_signaalink%C3%A4sittely" title="Digitaalinen signaalinkäsittely — фински" lang="fi" hreflang="fi" data-title="Digitaalinen signaalinkäsittely" data-language-autonym="Suomi" data-language-local-name="фински" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Digital_signalbehandling" title="Digital signalbehandling — шведски" lang="sv" hreflang="sv" data-title="Digital signalbehandling" data-language-autonym="Svenska" data-language-local-name="шведски" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%9B%E0%B8%A3%E0%B8%B0%E0%B8%A1%E0%B8%A7%E0%B8%A5%E0%B8%9C%E0%B8%A5%E0%B8%AA%E0%B8%B1%E0%B8%8D%E0%B8%8D%E0%B8%B2%E0%B8%93%E0%B8%94%E0%B8%B4%E0%B8%88%E0%B8%B4%E0%B8%97%E0%B8%B1%E0%B8%A5" title="การประมวลผลสัญญาณดิจิทัล — тајски" lang="th" hreflang="th" data-title="การประมวลผลสัญญาณดิจิทัล" data-language-autonym="ไทย" data-language-local-name="тајски" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/X%E1%BB%AD_l%C3%BD_t%C3%ADn_hi%E1%BB%87u_s%E1%BB%91" title="Xử lý tín hiệu số — вијетнамски" lang="vi" hreflang="vi" data-title="Xử lý tín hiệu số" data-language-autonym="Tiếng Việt" data-language-local-name="вијетнамски" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Say%C4%B1sal_i%C5%9Faret_i%C5%9Fleme" title="Sayısal işaret işleme — турски" lang="tr" hreflang="tr" data-title="Sayısal işaret işleme" data-language-autonym="Türkçe" data-language-local-name="турски" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a 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0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Непреведено plainlinks metadata ambox ambox-notice ambox-not_English" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/WP-TranslationProject_TwoFlags.svg/50px-WP-TranslationProject_TwoFlags.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/WP-TranslationProject_TwoFlags.svg/75px-WP-TranslationProject_TwoFlags.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/91/WP-TranslationProject_TwoFlags.svg/100px-WP-TranslationProject_TwoFlags.svg.png 2x" data-file-width="250" data-file-height="250" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">Овај чланак или један његов део <b>није <a href="/wiki/%D0%9F%D1%80%D0%B5%D0%B2%D0%BE%D1%92%D0%B5%D1%9A%D0%B5" title="Превођење">преведен</a> на српски језик</b>.<span class="hide-when-compact"> Помозите у <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A3%D1%80%D0%B5%D0%B4%D0%B8_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D1%83/Digitalna_obrada_signala" title="Посебно:Уреди страницу/Digitalna obrada signala">његовом побољшавању</a> превођењем садржаја, водећи рачуна о <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%A1%D1%82%D0%B8%D0%BB%D1%81%D0%BA%D0%B8_%D0%BF%D1%80%D0%B8%D1%80%D1%83%D1%87%D0%BD%D0%B8%D0%BA" title="Википедија:Стилски приручник">стилу</a> и <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%A1%D1%82%D0%B8%D0%BB%D1%81%D0%BA%D0%B8_%D0%BF%D1%80%D0%B8%D1%80%D1%83%D1%87%D0%BD%D0%B8%D0%BA/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D0%B5_%D0%BF%D1%80%D0%B0%D0%B2%D0%BE%D0%BF%D0%B8%D1%81%D0%B0_%D1%81%D1%80%D0%BF%D1%81%D0%BA%D0%BE%D0%B3_%D1%98%D0%B5%D0%B7%D0%B8%D0%BA%D0%B0" title="Википедија:Стилски приручник/Основе правописа српског језика">правопису</a> који се користе на Википедији на српском језику.</span></div></td></tr></tbody></table> <p><b>Digitalna obrada signala</b> (<b>DSP</b>) je upotreba digitalne obrade, kao što su <a href="/wiki/%D0%A0%D0%B0%D1%87%D1%83%D0%BD%D0%B0%D1%80" title="Рачунар">računari</a>, za obavljanje raznih operacija obrade signala. Signali obrađeni na ovaj način su niz brojeva koji predstavljaju uzorke kontinualne promenljive u <a href="/wiki/%D0%94%D0%BE%D0%BC%D0%B5%D0%BD" class="mw-redirect mw-disambig" title="Домен">domenu</a> kao što su <a href="/wiki/%D0%92%D1%80%D0%B5%D0%BC%D0%B5" title="Време">vreme</a>, <a href="/wiki/%D0%9F%D1%80%D0%BE%D1%81%D1%82%D0%BE%D1%80" title="Простор">prostor</a> ili <a href="/wiki/%D0%A4%D1%80%D0%B5%D0%BA%D0%B2%D0%B5%D0%BD%D1%86%D0%B8%D1%98%D0%B0" class="mw-redirect" title="Фреквенција">frekvencija</a>. </p><p>Digitalna obrada signala i analogna obrada signala su pod-polja obrade signala. DSP aplikacije uključuju audio i govornu obradu, <a href="/wiki/%D0%A1%D0%BE%D0%BD%D0%B0%D1%80" title="Сонар">sonar</a>, <a href="/wiki/%D0%A0%D0%B0%D0%B4%D0%B0%D1%80" title="Радар">radar</a> i druge obrade senzorskih nizova, procenu spektralne gustine, statističku obradu signala, digitalnu obradu slika, obradu signala za <a href="/wiki/%D0%A2%D0%B5%D0%BB%D0%B5%D0%BA%D0%BE%D0%BC%D1%83%D0%BD%D0%B8%D0%BA%D0%B0%D1%86%D0%B8%D1%98%D0%B5" title="Телекомуникације">telekomunikacije</a>, kontrolne sisteme, biomedicinski inženjering, seizmologiju, između ostalog. </p><p>DSP može da promeni linearne i nelinearne operacije. Nelinearni signalni proces je najbliže povezan sa <a href="/w/index.php?title=Nelinearni_sistem_identifikacije&action=edit&redlink=1" class="new" title="Nelinearni sistem identifikacije (страница не постоји)">nelinearnim sistemom identifikacije</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> i može biti implementiran na <a href="/wiki/%D0%92%D1%80%D0%B5%D0%BC%D0%B5" title="Време">vreme</a>, <a href="/wiki/%D0%A4%D1%80%D0%B5%D0%BA%D0%B2%D0%B5%D0%BD%D1%86%D0%B8%D1%98%D0%B0" class="mw-redirect" title="Фреквенција">frekvenciju</a>, i prostorno-vremenski <a href="/wiki/%D0%94%D0%BE%D0%BC%D0%B5%D0%BD" class="mw-redirect mw-disambig" title="Домен">domen</a>. </p><p>Aplikacija digitalnog proračuna za obradu signala omogućava mnoge prednosti u odnosu na obradu analognog u mnogim aplikacijama, poput detekcija i ispravki grešaka u prenosu kao i <a href="/wiki/Kompresija_podataka" title="Kompresija podataka">kompresije podataka</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> DSP se primenjuje na prenosne podatke i statičke (sačuvane) podatke. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Signal_uzimanja_uzoraka">Signal uzimanja uzoraka</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=1" title="Уредите одељак „Signal uzimanja uzoraka”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=1" title="Уреди извор одељка: Signal uzimanja uzoraka"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Za digitalnu analizu i manipulaciju analognim signalom, mora biti izvršena digitalizacija <a href="/wiki/Analogno_digitalni_konvertor" title="Analogno digitalni konvertor">analogno-digitalnim konvertorom</a> (ADC). Uzimanje podataka se obično sprovodi u dve faze, a to su diskretizacija i kvantizacija. Diskretizacija znači da je signal podeljen jednakim intervalima vremena, i svaki od intervala je predstavljen jednakim merenjem amplitude. Kvantizacija znači da se svako amplitudno merenje aproksimira vrednostima iz konačnog skupa. Primer je zaokruživanje realnog broja u ceo broj. </p><p><a href="/w/index.php?title=Najkvist-%C5%A0enonova_teorema_odabiranja&action=edit&redlink=1" class="new" title="Najkvist-Šenonova teorema odabiranja (страница не постоји)">Najkvist-Šenonova teorema odabiranja</a> tvrdi da se signal može tačno rekonstruisati iz svojih uzoraka ako je frekvencija uzorkovanja dva puta veća od najveće komponente frekvencije u signalu. U praksi, učestalost uzorkovanja je često znatno veća od dvostruke Najkvist frekvencije. </p><p>Teoretska DSP analiza i izvođenje se najčešće izvode na diskretno-vremenskim modelima bez ikakve amplitudne netačnosti (<a href="/w/index.php?title=Kvantna_gre%C5%A1ka&action=edit&redlink=1" class="new" title="Kvantna greška (страница не постоји)">kvantne greške</a>). Numeričke metode zahtevaju kvantne signale, poput onih proizvedenih od <a href="/wiki/ADC" class="mw-disambig" title="ADC">ADC</a>. Obrađeni rezultat može biti spektar frekvencija ili skup statističkih podataka. Ali često je to jedan kvantni <a href="/wiki/Signal_(elektrotehnika)" class="mw-redirect" title="Signal (elektrotehnika)">signal</a> koji se pretvara nazad u analogni oblik od strane <a href="/w/index.php?title=Digitalno_analogni_konvertor&action=edit&redlink=1" class="new" title="Digitalno analogni konvertor (страница не постоји)">digitalno-analognog konvertora</a> (DAC). </p> <div class="mw-heading mw-heading2"><h2 id="Domeni">Domeni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=2" title="Уредите одељак „Domeni”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=2" title="Уреди извор одељка: Domeni"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>U DSP-u, inženjeri obično proučavaju digitalne signale u jednom od sledećih domena: </p> <ul><li>vremenski domen (engl. <i>time domain</i>) - jednodimenzionalni signali,</li> <li>prostorni domen (engl. <i>space domain</i>)- višedimenzionalni signali,</li> <li>frekventni domen (engl. <i>frequency domain</i>) i</li> <li>talasić domen (engl. <i>wavelet domain</i>).</li></ul> <p>Oni biraju domen u kome će obrađivati signal praveći informisanu pretpostavku (ili isprobavajući različite mogućnosti) prema kom domenu najbolje predstavljaju suštinske karakteristike signala i obradu koju treba primeniti na njega. Niz uzoraka iz mernog uređaja proizvodi vremensko ili prostorno predstavljanje, dok diskretna Furijeova transformacija proizvodi predstavljanje frekventnog domena. </p> <div class="mw-heading mw-heading3"><h3 id="Vremenski_i_prostorni_domen">Vremenski i prostorni domen</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=3" title="Уредите одељак „Vremenski i prostorni domen”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=3" title="Уреди извор одељка: Vremenski i prostorni domen"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Najčešći pristup obrade u vremenskom ili prostornom domenu je poboljšanje ulaznog signala putem metode koja se naziva filtriranje. Digitalno filtriranje se uglavnom sastoji od neke linearne transformacije većeg broja okolnih uzoraka oko trenutnog uzorka ulaznog ili izlaznog <a href="/wiki/Signal_(elektrotehnika)" class="mw-redirect" title="Signal (elektrotehnika)">signala</a>. Postoje različiti načini za karakterizaciju <a href="/w/index.php?title=Filter&action=edit&redlink=1" class="new" title="Filter (страница не постоји)">filtera</a>; na primer: </p> <ul><li>"Linearni" filter je <a href="/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B0%D1%80%D0%BD%D0%B0_%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D1%98%D0%B0" class="mw-redirect" title="Линеарна трансформација">linearna transformacija</a> ulaznih uzoraka; drugi filteri su "nelinearni". Linearni filteri zadovoljavaju uslov superpozicije, tj. ako je ulaz težinska linearna kombinacija različitih signala, izlaz je slična težinska linearna kombinacija odgovarajućih izlaznih signala.</li> <li>"Uzročni" filter koristi samo prethodne uzorke ulaznih ili izlaznih signala; dok "ne-uzročni" filter koristi buduće ulazne uzorke. Ne-uzročni filter obično može biti promenjen u uzročni filter dodavanjem kašnjenja.</li> <li>"Vremensko-invarijantni" filter ima konstantna svojstva tokom vremena; drugi filteri kao što su adaptivni filteri se menjaju u toku vremena.</li> <li>"Stabilni" filter stvara izlaz koji konstantno konvergira sa vremenom, ili ostaje ograničen unutar konačnog intervala.</li> <li>"Nestabilni" filter može proizvesti izlaz koji raste bez granica, sa ograničenim ili čak nultim ulazom.</li></ul> <p>Filtеr "konačnog impulsnog odziva" (FIR) koristi samo ulazne signale, dok filter "beskonačnog impulsnog odziva" (IIR) koristi i ulazni signal i prethodne uzorke izlaznog signala. FIR filteri su uvek stabilni, dok IIR filteri mogu biti nestabilni. </p><p>Filter se može predstaviti <a href="/w/index.php?title=Blok_dijagram&action=edit&redlink=1" class="new" title="Blok dijagram (страница не постоји)">blok dijagramom</a>, koji se zatim može koristiti za izvođenje algoritma koji predstavlja obradu uzorka za implementaciju filtera sa hardverskim uputstvima. <a href="/w/index.php?title=Filter&action=edit&redlink=1" class="new" title="Filter (страница не постоји)">Filter</a> takođe može biti opisan diferencnom jednačinom, kao kolekcija nula i polova ili, ako je to FIR filter, impulsni odziv ili odgovarajući korak. </p><p>Izlaz linijskog digitalnog filtera na bilo koji ulaz može se izračunati sakrivanjem ulaznog signala impulsnim odzivom. </p> <div class="mw-heading mw-heading3"><h3 id="Frekventni_domen">Frekventni domen</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=4" title="Уредите одељак „Frekventni domen”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=4" title="Уреди извор одељка: Frekventni domen"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Signali se konvertuju iz vremena ili prostora domena u frekventnom domenu najčešće kroz <a href="/wiki/%D0%A4%D1%83%D1%80%D0%B8%D1%98%D0%B5%D0%BE%D0%B2%D0%B0_%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Фуријеова трансформација">Furijeovu transformaciju</a>. Furijeova transformacija pretvara informacije o signalu u magnitudu i faznu komponentu svake frekvencije. Često se Furijeova transformacija konvertuje u spektar snage, što je veličina magnitude kvadrata svake komponente frekvencije. </p><p>Najčešća svrha analize signala u frekventnom domenu je analiza svojstva signala. Inženjer može da prouči spektar da odredi koje frekvencije su prisutne u ulazu signala a koje nedostaju. Pored informacija o frekvenciji, informacije o <a href="/wiki/%D0%A4%D0%B0%D0%B7%D0%B0" class="mw-disambig" title="Фаза">fazi</a> su često potrebne. Ovo se može dobiti Furijeovom transformacijom. U nekim aplikacijama značajan <a href="/wiki/%D0%A4%D0%B0%D0%BA%D1%82%D0%BE%D1%80" class="mw-disambig" title="Фактор">faktor</a> može biti kako <a href="/wiki/%D0%A4%D0%B0%D0%B7%D0%B0" class="mw-disambig" title="Фаза">faza</a> varira u zavisnosti od <a href="/wiki/%D0%A4%D1%80%D0%B5%D0%BA%D0%B2%D0%B5%D0%BD%D1%86%D0%B8%D1%98%D0%B0" class="mw-redirect" title="Фреквенција">frekvencije</a>. Filtriranje, naročito u ne-realnom vremenu rada, može se postići konvertovanjem (pretvaranjem) u frekventni domen, primenom filtera i zatim konvertovanjem nazad u vremenski domen. Ovo je brza, O(nlog n) operacija, i može dati suštinski bilo koji oblik <a href="/w/index.php?title=Filter&action=edit&redlink=1" class="new" title="Filter (страница не постоји)">filtera</a> uključujući odlične aproksimacije <a href="/w/index.php?title=%27%27brickwall%27%27_filter&action=edit&redlink=1" class="new" title="''brickwall'' filter (страница не постоји)">''brickwall'' filtera</a>. </p><p>Postoje neke najčešće korištene frekvencije domena transformacije. Na primer, <a href="/w/index.php?title=%27%27cepstrum%27%27&action=edit&redlink=1" class="new" title="''cepstrum'' (страница не постоји)">''cepstrum''</a> pretvara signal u frekventni domen kroz Furijeovu transformaciju, uzima logaritam, i zatim primenjuje drugu Furijeovu tranformaciju. Ovo naglašava harmonijsku strukturu originalnog spektra. </p><p>Analiza frekventnog domena se takođe naziva <i>spektralna</i> ili <i>spektar-analiza</i>. </p> <div class="mw-heading mw-heading3"><h3 id="Z-ravan_analiza">Z-ravan analiza</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=5" title="Уредите одељак „Z-ravan analiza”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=5" title="Уреди извор одељка: Z-ravan analiza"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Digitalni filteri se mogu naći u dva oblika, <a href="/w/index.php?title=IIR&action=edit&redlink=1" class="new" title="IIR (страница не постоји)">IIR</a> i <a href="/w/index.php?title=FIR&action=edit&redlink=1" class="new" title="FIR (страница не постоји)">FIR</a>. FIR imaju mnoge prednosti, ali su računski zahtevniji. Dok su FIR filteri uvek stabilni, IIR filteri imaju povratnu petlju koja može rezonirati kada se stimuliše određenim ulaznim signalima.<a href="/w/index.php?title=Z-transformacija&action=edit&redlink=1" class="new" title="Z-transformacija (страница не постоји)">Z-transformacija</a> obezbeđuje alat za analiziranje pitanja potencijalnih stabilnosti digitalnih IIR filtera. Ovo je analogno <a href="/wiki/%D0%9B%D0%B0%D0%BF%D0%BB%D0%B0%D1%81%D0%BE%D0%B2%D0%B0_%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Лапласова трансформација">Laplasovoj transformaciji</a>, koja se koristi za projektovanje analognih IIR filtera. </p> <div class="mw-heading mw-heading3"><h3 id="Talasić_domen"><span id="Talasi.C4.87_domen"></span>Talasić domen</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=6" title="Уредите одељак „Talasić domen”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=6" title="Уреди извор одељка: Talasić domen"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%94%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Jpeg2000_2-level_wavelet_transform-lichtenstein.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Jpeg2000_2-level_wavelet_transform-lichtenstein.png/300px-Jpeg2000_2-level_wavelet_transform-lichtenstein.png" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Jpeg2000_2-level_wavelet_transform-lichtenstein.png/450px-Jpeg2000_2-level_wavelet_transform-lichtenstein.png 1.5x, //upload.wikimedia.org/wikipedia/commons/e/e0/Jpeg2000_2-level_wavelet_transform-lichtenstein.png 2x" data-file-width="512" data-file-height="512" /></a><figcaption>Primer 2D diskretne talasić transformacije koja se koristi u JPEG2000. Originalna slika je filtrirana na visokom nivou, što daje tri velike slike, od kojih svaka opisuje lokalne promene u osvetljenosti (detaljima) u originalnoj slici. Zatim je niskopropusno filtriran i smanjen, dajući približnu sliku; ova slika je visokopropusno filtrirana kako bi se proizvele tri manje detaljne slike, a niskopropusno filtrirana kako bi se napravila finalna približna slika u gornjem levom uglu.</figcaption></figure> <p>U numeričkoj analizi i funkcionalnoj analizi, diskretna talasna transformacija (DVT) je svaka talasna transformacija za koju se disketno uzimaju uzorci. Kao i kod drugih talasnih transformacija, ključna prednost u odnosu na Furijeovu transformaciju je vremenska rezolucija: ona obuhvata informacije o frekvenciji i lokaciji. Tačnost zajedničke rezolucije vremenske frekvencije je ograničena principom nesigurnosti vremenske frekvencije. </p> <div class="mw-heading mw-heading2"><h2 id="Aplikacije">Aplikacije</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=7" title="Уредите одељак „Aplikacije”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=7" title="Уреди извор одељка: Aplikacije"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Glavne aplikacije DSP-a su obrada audio signala, audio kompresija, digitalna obrada slika, obrada video zapisa, obrada govora, <a href="/wiki/%D0%9F%D1%80%D0%B5%D0%BF%D0%BE%D0%B7%D0%BD%D0%B0%D0%B2%D0%B0%D1%9A%D0%B5_%D0%B3%D0%BE%D0%B2%D0%BE%D1%80%D0%B0" title="Препознавање говора">prepoznavanje govora</a>, <a href="/w/index.php?title=Digitalna_komunikacija&action=edit&redlink=1" class="new" title="Digitalna komunikacija (страница не постоји)">digitalna komunikacija</a>, <a href="/w/index.php?title=Digitalni_sintisajzeri&action=edit&redlink=1" class="new" title="Digitalni sintisajzeri (страница не постоји)">digitalni sintisajzeri</a>, <a href="/wiki/%D0%A0%D0%B0%D0%B4%D0%B0%D1%80" title="Радар">radar</a>, <a href="/wiki/%D0%A1%D0%BE%D0%BD%D0%B0%D1%80" title="Сонар">sonar</a>, <a href="/wiki/Seizmologija" title="Seizmologija">seizmologija</a> i <a href="/wiki/Biomedicina" title="Biomedicina">biomedicina</a>. Specifični primeri su: <a href="/w/index.php?title=Kompresija_govora&action=edit&redlink=1" class="new" title="Kompresija govora (страница не постоји)">kompresija govora</a> i prenos digitalnih <a href="/wiki/%D0%9C%D0%BE%D0%B1%D0%B8%D0%BB%D0%BD%D0%B8_%D1%82%D0%B5%D0%BB%D0%B5%D1%84%D0%BE%D0%BD" title="Мобилни телефон">mobilnih telefona</a>, <a href="/w/index.php?title=Digitalna_sobna_korekcija&action=edit&redlink=1" class="new" title="Digitalna sobna korekcija (страница не постоји)">digitalna sobna korekcija</a> zvuka u <a href="/wiki/Hi-fi" class="mw-redirect" title="Hi-fi">hi-fi</a> i <a href="/w/index.php?title=Ozvu%C4%8Davanje&action=edit&redlink=1" class="new" title="Ozvučavanje (страница не постоји)">ozvučavanje</a> aplikacije, <a href="/wiki/%D0%92%D1%80%D0%B5%D0%BC%D0%B5%D0%BD%D1%81%D0%BA%D0%B0_%D0%BF%D1%80%D0%BE%D0%B3%D0%BD%D0%BE%D0%B7%D0%B0" title="Временска прогноза">vremenska prognoza</a>, <a href="/w/index.php?title=Ekonomska_predvi%C4%91anja&action=edit&redlink=1" class="new" title="Ekonomska predviđanja (страница не постоји)">ekonomska predviđanja</a>, seizmološka obrada podataka, analiza i kontrola <a href="/w/index.php?title=Industrijski_procesi&action=edit&redlink=1" class="new" title="Industrijski procesi (страница не постоји)">industrijskih procesa</a>, medicinska slikanja kao što su <a href="/wiki/CAT" class="mw-disambig" title="CAT">CAT</a> skeniranja i <a href="/w/index.php?title=Magnetna_rezonantna_timografija&action=edit&redlink=1" class="new" title="Magnetna rezonantna timografija (страница не постоји)">Magnetna rezonantna timografija</a> (MRI), <a href="/wiki/MP3" title="MP3">MP3</a> kompresija, kompjuterska <a href="/wiki/%D0%93%D1%80%D0%B0%D1%84%D0%B8%D0%BA%D0%B0" title="Графика">grafika</a>, manipulacija slikama, <a href="/wiki/Hi-fi" class="mw-redirect" title="Hi-fi">hi-fi</a> <a href="/wiki/Zvu%C4%8Dnik" class="mw-redirect" title="Zvučnik">zvučnik</a>, skretnice i ujednačavanje, i audio efekti koji se koriste kod <a href="/wiki/%D0%95%D0%BB%D0%B5%D0%BA%D1%82%D1%80%D0%B8%D1%87%D0%BD%D0%B0_%D0%B3%D0%B8%D1%82%D0%B0%D1%80%D0%B0" title="Електрична гитара">električne gitare</a> tj. njenih <a href="/wiki/Audio_poja%C4%8Dava%C4%8D" title="Audio pojačavač">pojačala</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Implementacija">Implementacija</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=8" title="Уредите одељак „Implementacija”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=8" title="Уреди извор одељка: Implementacija"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>DSP <a href="/wiki/%D0%90%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%B0%D0%BC" title="Алгоритам">algoritmi</a> odavno rade na računarima opšte namene i <a class="mw-selflink selflink">digitalnim obradama signala</a>. DSP algoritmi se takođe sprovode na namenski hardver kao što su aplikacije specifično integrisanog kola (<a href="/w/index.php?title=ASIC&action=edit&redlink=1" class="new" title="ASIC (страница не постоји)">ASIC</a>). Dodatne tehnologije za digitalnu obradu signala uključuju moćnije opšte namene <a href="/wiki/%D0%9C%D0%B8%D0%BA%D1%80%D0%BE%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D0%BE%D1%80" title="Микропроцесор">mikroprocesora</a>, integrisanog kola <a href="/wiki/FPGA" title="FPGA">FPGA</a>, digitalnih signalnih kontrolora(uglavnom za industrijsku primenu, kao što je kontrola motora), i obrada <a href="/w/index.php?title=Protok&action=edit&redlink=1" class="new" title="Protok (страница не постоји)">protoka</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>U zavisnosti od zahteva aplikacije, zadaci digitalne obrade signala mogu biti realizovani i na računare opšte namene. Često kada uslov obrade nije u realnom vremenu, obrada se ekonomski radi sa računarima opšte namene i podacima signala (ili ulaz ili izlaz) koji postoji u datotekama. Ovo se u osnovi ne razlikuje od bilo koje druge obrade podataka, osim DSP što koriste matematičke tehnike, kao sto je <a href="/wiki/%D0%91%D1%80%D0%B7%D0%B0_%D0%A4%D1%83%D1%80%D0%B8%D1%98%D0%B5%D0%BE%D0%B2%D0%B0_%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Брза Фуријеова трансформација">Brza Furijeova transformacija(FFT)</a>, a za uzorkovane podatke se obično pretpostavlja da se ravnomerno uzorkuju u vremenu i prostoru. Na primer: obrada <a href="/wiki/%D0%94%D0%B8%D0%B3%D0%B8%D1%82%D0%B0%D0%BB%D0%BD%D0%B0_%D1%84%D0%BE%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%98%D0%B0" title="Дигитална фотографија">digitalne fotografije</a> sa <a href="/wiki/%D0%A1%D0%BE%D1%84%D1%82%D0%B2%D0%B5%D1%80" title="Софтвер">softverom</a> kao što je <i><a href="/wiki/Adobe_Photoshop" title="Adobe Photoshop">Photoshop</a></i>. </p><p>Međutim, kada je zahtev aplikacije u realnom vremenu, DSP je često sprovodi korišćenjem specijalizovanih <a href="/wiki/%D0%9C%D0%B8%D0%BA%D1%80%D0%BE%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D0%BE%D1%80" title="Микропроцесор">mikroprocesora</a> kao što je <a href="/w/index.php?title=Motorola_56000&action=edit&redlink=1" class="new" title="Motorola 56000 (страница не постоји)">DSP56000</a>, u <a href="/w/index.php?title=TMS320&action=edit&redlink=1" class="new" title="TMS320 (страница не постоји)">TMS320</a>, ili <a href="/w/index.php?title=SHARC&action=edit&redlink=1" class="new" title="SHARC (страница не постоји)">SHARC</a>. Oni često obrađuju podatke koristeći fiksne tačke aritmetike, iako neke snažnije verzije koriste pokretni zarez. Za bržu aplikaciju <a href="/wiki/FPGA" title="FPGA">FPGA</a><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> može se koristiti. </p><p>Počev od 2007. godine, implementacija više jezgara (<i>multicore</i>) DSP-a je počela da se pojavljuje od kompanija uključujući <a href="/w/index.php?title=Freescale&action=edit&redlink=1" class="new" title="Freescale (страница не постоји)">Freescale</a> i <a href="/w/index.php?title=Stream_Processors&action=edit&redlink=1" class="new" title="Stream Processors (страница не постоји)">Stream Processors</a>, itd. Za brže primene sa ogromnom upotrebom, <a href="/w/index.php?title=ASIC&action=edit&redlink=1" class="new" title="ASIC (страница не постоји)">ASIC</a> može biti dizajniran specijalno. Za spore primene, tradicionalni sporiji <a href="/wiki/%D0%9F%D1%80%D0%BE%D1%86%D0%B5%D1%81%D0%BE%D1%80" class="mw-redirect" title="Процесор">procesor</a> kao što je mikrokontroler može biti adekvatan. Takođe, sve veći broj DSP aplikacija se sada primenjuje na ugrađene sisteme koji koriste moćne računare sa višejezgarnnim procesorom. </p> <div class="mw-heading mw-heading2"><h2 id="Vidi_još"><span id="Vidi_jo.C5.A1"></span>Vidi još</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=9" title="Уредите одељак „Vidi još”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=9" title="Уреди извор одељка: Vidi još"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r23532679">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col" style="column-width: 22em;"> <ul><li><a href="/wiki/%D0%98%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Информатика">Informatika</a></li> <li><a href="/wiki/Kompresija_podataka" title="Kompresija podataka">Kompresija podataka</a></li> <li><a href="/wiki/%D0%9F%D1%80%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%B8%D1%80%D0%B0%D1%9A%D0%B5_%D0%BF%D1%80%D0%BE%D1%82%D0%BE%D0%BA%D0%BE%D0%BC_%D0%BF%D0%BE%D0%B4%D0%B0%D1%82%D0%B0%D0%BA%D0%B0" title="Програмирање протоком података">Programiranje protokom podataka</a></li> <li><a href="/wiki/%D0%95%D0%BB%D0%B5%D0%BA%D1%82%D1%80%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0" title="Електротехника">Elektrotehnika</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D1%98%D0%B5" title="Теорија информације">Teorija informacije</a></li> <li><a href="/wiki/Ma%C5%A1insko_u%C4%8Denje" class="mw-redirect" title="Mašinsko učenje">Mašinsko učenje</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BB%D0%B5%D0%BA%D0%BE%D0%BC%D1%83%D0%BD%D0%B8%D0%BA%D0%B0%D1%86%D0%B8%D1%98%D0%B5" title="Телекомуникације">Telekomunikacije</a></li> <li><a href="/w/index.php?title=Vremenske_serije&action=edit&redlink=1" class="new" title="Vremenske serije (страница не постоји)">Vremenske serije</a></li> <li><a href="/w/index.php?title=Talasi%C4%87&action=edit&redlink=1" class="new" title="Talasić (страница не постоји)">Talasić</a></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Beleške"><span id="Bele.C5.A1ke"></span>Beleške</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=10" title="Уредите одељак „Beleške”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=10" title="Уреди извор одељка: Beleške"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r28440201">.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 reflist-lower-alpha"> </div> <div class="mw-heading mw-heading2"><h2 id="Reference">Reference</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=11" title="Уредите одељак „Reference”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=11" title="Уреди извор одељка: Reference"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r28440201"><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"><cite class="citation book">Billings, Stephen A. (2013). <i>Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains</i>. UK: Wiley. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1-119-94359-4" title="Посебно:Штампани извори/978-1-119-94359-4">978-1-119-94359-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.aufirst=Stephen+A.&rft.aulast=Billings&rft.btitle=Nonlinear+System+Identification%3A+NARMAX+Methods+in+the+Time%2C+Frequency%2C+and+Spatio-Temporal+Domains&rft.date=2013&rft.genre=book&rft.isbn=978-1-119-94359-4&rft.place=UK&rft.pub=Wiley&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></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"><cite class="citation book">Broesch, James D.; Stranneby, Dag; Walker, William (2008-10-20). <i>Digital Signal Processing: Instant access</i> (1 изд.). Butterworth-Heinemann - Newnes. стр. 3. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/9780750689762" title="Посебно:Штампани извори/9780750689762">9780750689762</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Stranneby%2C+Dag&rft.au=Walker%2C+William&rft.aufirst=James+D.&rft.aulast=Broesch&rft.btitle=Digital+Signal+Processing%3A+Instant+access&rft.date=2008-10-20&rft.edition=1&rft.genre=book&rft.isbn=9780750689762&rft.pages=3&rft.pub=Butterworth-Heinemann+-+Newnes&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></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"><cite class="citation book">Stranneby, Dag; Walker, William (2004). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=NKK1DdqcDVUC&pg=PA241"><i>Digital Signal Processing and Applications</i></a> (2nd изд.). Elsevier. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-7506-6344-1" title="Посебно:Штампани извори/978-0-7506-6344-1">978-0-7506-6344-1</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Walker%2C+William&rft.aufirst=Dag&rft.aulast=Stranneby&rft.btitle=Digital+Signal+Processing+and+Applications&rft.date=2004&rft.edition=2nd&rft.genre=book&rft.isbn=978-0-7506-6344-1&rft.pub=Elsevier&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DNKK1DdqcDVUC%26pg%3DPA241&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></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"><cite class="citation web">JPFix (2006). <a rel="nofollow" class="external text" href="http://www.jpfix.com/About_Us/Articles/FPGA-Based_Image_Processing_Ac/fpga-based_image_processing_ac.html">„FPGA-Based Image Processing Accelerator”</a><span class="reference-accessdate">. Приступљено <span class="nowrap">10. 5. 2008</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=JPFix&rft.btitle=FPGA-Based+Image+Processing+Accelerator&rft.date=2006&rft.genre=unknown&rft_id=http%3A%2F%2Fwww.jpfix.com%2FAbout_Us%2FArticles%2FFPGA-Based_Image_Processing_Ac%2Ffpga-based_image_processing_ac.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Literatura">Literatura</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Digitalna_obrada_signala&veaction=edit&section=12" title="Уредите одељак „Literatura”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Digitalna_obrada_signala&action=edit&section=12" title="Уреди извор одељка: Literatura"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite id="CITEREFBillings2013" class="citation book">Billings, Stephen A. (2013). <i>Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains</i>. UK: Wiley. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1-119-94359-4" title="Посебно:Штампани извори/978-1-119-94359-4">978-1-119-94359-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.aufirst=Stephen+A.&rft.aulast=Billings&rft.btitle=Nonlinear+System+Identification%3A+NARMAX+Methods+in+the+Time%2C+Frequency%2C+and+Spatio-Temporal+Domains&rft.date=2013&rft.genre=book&rft.isbn=978-1-119-94359-4&rft.place=UK&rft.pub=Wiley&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li></ul> <style data-mw-deduplicate="TemplateStyles:r25554621">.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:#f9f9f9;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}}@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><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r25554968">.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/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist"><span style="font-weight:bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Digital_signal_processing" class="extiw" title="commons:Category:Digital signal processing">Digitalna obrada signala</a></span> на <a href="https://commons.wikimedia.org/wiki/%D0%93%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B0" class="extiw" title="commons:Главна страна">Викимедијиној остави</a>.</div></div> </div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r25554621"><div class="side-box side-box-right plainlinks sistersitebox"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r25554968"> <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/d/df/Wikibooks-logo-en-noslogan.svg/40px-Wikibooks-logo-en-noslogan.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/df/Wikibooks-logo-en-noslogan.svg/60px-Wikibooks-logo-en-noslogan.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/df/Wikibooks-logo-en-noslogan.svg/80px-Wikibooks-logo-en-noslogan.svg.png 2x" data-file-width="400" data-file-height="400" /></span></span></div> <div class="side-box-text plainlist">Викикњиге имају више информација о <i><b><a href="https://sr.wikibooks.org/wiki/Digital_Signal_Processing" class="extiw" title="b:Digital Signal Processing">Digitalna obrada signala</a></b></i></div></div> </div> <style data-mw-deduplicate="TemplateStyles:r28440192">.mw-parser-output .refbegin{margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}@media screen{.mw-parser-output .refbegin{font-size:90%}}</style><div class="refbegin" style=""> <ul><li>N. Ahmed and K.R. Rao . Orthogonal Transforms for Digital Signal Processing. Springer-Verlag (Berlin – Heidelberg – New York). 1975. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-3-540-06556-2" title="Посебно:Штампани извори/978-3-540-06556-2">978-3-540-06556-2</a>.</li> <li><cite class="citation book">Jonathan M. Blackledge, Martin Turner. <i>Digital Signal Processing: Mathematical and Computational Methods, Software Development and Applications</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1-898563-48-8" title="Посебно:Штампани извори/978-1-898563-48-8">978-1-898563-48-8</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Jonathan+M.+Blackledge%2C+Martin+Turner&rft.btitle=Digital+Signal+Processing%3A+Mathematical+and+Computational+Methods%2C+Software+Development+and+Applications&rft.genre=book&rft.isbn=978-1-898563-48-8&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Horwood Publishing.</li> <li><cite class="citation book">James D. Broesch (1997). <a rel="nofollow" class="external text" href="https://archive.org/details/digitalsignalpro0000broe"><i>Digital Signal Processing Demystified</i></a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1-878707-16-1" title="Посебно:Штампани извори/978-1-878707-16-1">978-1-878707-16-1</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=James+D.+Broesch&rft.btitle=Digital+Signal+Processing+Demystified&rft.date=1997&rft.genre=book&rft.isbn=978-1-878707-16-1&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdigitalsignalpro0000broe&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Newnes.</li> <li><cite class="citation book">Paul M. Embree, Damon Danieli. <i>C++ Algorithms for Digital Signal Processing</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-13-179144-2" title="Посебно:Штампани извори/978-0-13-179144-2">978-0-13-179144-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Paul+M.+Embree%2C+Damon+Danieli&rft.btitle=C%2B%2B+Algorithms+for+Digital+Signal+Processing&rft.genre=book&rft.isbn=978-0-13-179144-2&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Prentice Hall.</li> <li><cite class="citation book">Hari Krishna Garg. <i>Digital Signal Processing Algorithms</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8493-7178-3" title="Посебно:Штампани извори/978-0-8493-7178-3">978-0-8493-7178-3</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Hari+Krishna+Garg&rft.btitle=Digital+Signal+Processing+Algorithms&rft.genre=book&rft.isbn=978-0-8493-7178-3&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. CRC Press.</li> <li><cite class="citation book">P. Gaydecki. <i>Foundations Of Digital Signal Processing: Theory, Algorithms And Hardware Design</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-85296-431-6" title="Посебно:Штампани извори/978-0-85296-431-6">978-0-85296-431-6</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=P.+Gaydecki&rft.btitle=Foundations+Of+Digital+Signal+Processing%3A+Theory%2C+Algorithms+And+Hardware+Design&rft.genre=book&rft.isbn=978-0-85296-431-6&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Institution of Electrical Engineers.</li> <li><cite class="citation book">Ashfaq Khan (2005). <a rel="nofollow" class="external text" href="https://archive.org/details/digitalsignalpro0000khan"><i>Digital Signal Processing Fundamentals</i></a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1-58450-281-4" title="Посебно:Штампани извори/978-1-58450-281-4">978-1-58450-281-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Ashfaq+Khan&rft.btitle=Digital+Signal+Processing+Fundamentals&rft.date=2005&rft.genre=book&rft.isbn=978-1-58450-281-4&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdigitalsignalpro0000khan&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Charles River Media.</li> <li>Sen M. Kuo, Woon-Seng Gan: <i>Digital Signal Processors: Architectures, Implementations, and Applications</i>, Prentice Hall. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-13-035214-9" title="Посебно:Штампани извори/978-0-13-035214-9">978-0-13-035214-9</a>.</li> <li><cite class="citation book">Paul A. Lynn, Wolfgang Fuerst. <i>Introductory Digital Signal Processing with Computer Applications</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-471-97984-5" title="Посебно:Штампани извори/978-0-471-97984-5">978-0-471-97984-5</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Paul+A.+Lynn%2C+Wolfgang+Fuerst&rft.btitle=Introductory+Digital+Signal+Processing+with+Computer+Applications&rft.genre=book&rft.isbn=978-0-471-97984-5&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. John Wiley & Sons.</li> <li><cite class="citation book">Richard G. Lyons. <i>Understanding Digital Signal Processing</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-13-108989-1" title="Посебно:Штампани извори/978-0-13-108989-1">978-0-13-108989-1</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Richard+G.+Lyons&rft.btitle=Understanding+Digital+Signal+Processing&rft.genre=book&rft.isbn=978-0-13-108989-1&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Prentice Hall.</li> <li><cite class="citation book">Vijay Madisetti, Douglas B. Williams (1998). <a rel="nofollow" class="external text" href="https://archive.org/details/isbn_9780849385728"><i>The Digital Signal Processing Handbook</i></a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8493-8572-8" title="Посебно:Штампани извори/978-0-8493-8572-8">978-0-8493-8572-8</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Vijay+Madisetti%2C+Douglas+B.+Williams&rft.btitle=The+Digital+Signal+Processing+Handbook&rft.date=1998&rft.genre=book&rft.isbn=978-0-8493-8572-8&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fisbn_9780849385728&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. CRC Press.</li> <li><cite class="citation book">James H. McClellan, Ronald W. Schafer, Mark A. Yoder. <i>Signal Processing First</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-13-090999-2" title="Посебно:Штампани извори/978-0-13-090999-2">978-0-13-090999-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=James+H.+McClellan%2C+Ronald+W.+Schafer%2C+Mark+A.+Yoder&rft.btitle=Signal+Processing+First&rft.genre=book&rft.isbn=978-0-13-090999-2&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span><span class="citation-comment" style="display:none; color:#33aa33; margin-left:0.3em">CS1 одржавање: Вишеструка имена: списак аутора (<a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:CS1_%D0%BE%D0%B4%D1%80%D0%B6%D0%B0%D0%B2%D0%B0%D1%9A%D0%B5:_%D0%92%D0%B8%D1%88%D0%B5%D1%81%D1%82%D1%80%D1%83%D0%BA%D0%B0_%D0%B8%D0%BC%D0%B5%D0%BD%D0%B0:_%D1%81%D0%BF%D0%B8%D1%81%D0%B0%D0%BA_%D0%B0%D1%83%D1%82%D0%BE%D1%80%D0%B0" title="Категорија:CS1 одржавање: Вишеструка имена: списак аутора">веза</a>)</span>. Prentice Hall.</li> <li><cite class="citation book">Bernard Mulgrew, Peter Grant, John Thompson (2003). <a rel="nofollow" class="external text" href="https://archive.org/details/digitalsignalpro0000mulg"><i>Digital Signal Processing - Concepts and Applications</i></a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-333-96356-2" title="Посебно:Штампани извори/978-0-333-96356-2">978-0-333-96356-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Bernard+Mulgrew%2C+Peter+Grant%2C+John+Thompson&rft.btitle=Digital+Signal+Processing+-+Concepts+and+Applications&rft.date=2003&rft.genre=book&rft.isbn=978-0-333-96356-2&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdigitalsignalpro0000mulg&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span><span class="citation-comment" style="display:none; color:#33aa33; margin-left:0.3em">CS1 одржавање: Вишеструка имена: списак аутора (<a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:CS1_%D0%BE%D0%B4%D1%80%D0%B6%D0%B0%D0%B2%D0%B0%D1%9A%D0%B5:_%D0%92%D0%B8%D1%88%D0%B5%D1%81%D1%82%D1%80%D1%83%D0%BA%D0%B0_%D0%B8%D0%BC%D0%B5%D0%BD%D0%B0:_%D1%81%D0%BF%D0%B8%D1%81%D0%B0%D0%BA_%D0%B0%D1%83%D1%82%D0%BE%D1%80%D0%B0" title="Категорија:CS1 одржавање: Вишеструка имена: списак аутора">веза</a>)</span>. Palgrave Macmillan.</li> <li><cite class="citation book">Boaz Porat (1997). <a rel="nofollow" class="external text" href="https://archive.org/details/courseindigitals0000pora"><i>A Course in Digital Signal Processing</i></a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-471-14961-3" title="Посебно:Штампани извори/978-0-471-14961-3">978-0-471-14961-3</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Boaz+Porat&rft.btitle=A+Course+in+Digital+Signal+Processing&rft.date=1997&rft.genre=book&rft.isbn=978-0-471-14961-3&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fcourseindigitals0000pora&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Wiley.</li> <li><cite class="citation book">John G. Proakis, Dimitris Manolakis (2006). <a rel="nofollow" class="external text" href="https://archive.org/details/digitalsignalpro0000proa"><i>Digital Signal Processing: Principles, Algorithms and Applications</i></a> (4th изд.). <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0131873742" title="Посебно:Штампани извори/978-0131873742">978-0131873742</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=John+G.+Proakis%2C+Dimitris+Manolakis&rft.btitle=Digital+Signal+Processing%3A+Principles%2C+Algorithms+and+Applications&rft.date=2006&rft.edition=4th&rft.genre=book&rft.isbn=978-0131873742&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdigitalsignalpro0000proa&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. , Pearson, April.</li> <li><cite class="citation book">John G. Proakis (2004). <a rel="nofollow" class="external text" href="https://archive.org/details/selfstudyguidefo0000proa"><i>A Self-Study Guide for Digital Signal Processing</i></a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-13-143239-0" title="Посебно:Штампани извори/978-0-13-143239-0">978-0-13-143239-0</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=John+G.+Proakis&rft.btitle=A+Self-Study+Guide+for+Digital+Signal+Processing&rft.date=2004&rft.genre=book&rft.isbn=978-0-13-143239-0&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fselfstudyguidefo0000proa&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. Prentice Hall.</li> <li><cite class="citation book">Charles A. Schuler. <i>Digital Signal Processing: A Hands-On Approach</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-07-829744-1" title="Посебно:Штампани извори/978-0-07-829744-1">978-0-07-829744-1</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Charles+A.+Schuler&rft.btitle=Digital+Signal+Processing%3A+A+Hands-On+Approach&rft.genre=book&rft.isbn=978-0-07-829744-1&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. McGraw-Hill.</li> <li><cite class="citation book">Doug Smith (2001). <a rel="nofollow" class="external text" href="https://archive.org/details/digitalsignalpro0000smit"><i>Digital Signal Processing Technology: Essentials of the Communications Revolution</i></a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-87259-819-5" title="Посебно:Штампани извори/978-0-87259-819-5">978-0-87259-819-5</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Doug+Smith&rft.btitle=Digital+Signal+Processing+Technology%3A+Essentials+of+the+Communications+Revolution&rft.date=2001&rft.genre=book&rft.isbn=978-0-87259-819-5&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdigitalsignalpro0000smit&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>. American Radio Relay League.</li> <li><cite id="CITEREFSmith2002" class="citation book">Smith, Steven W. (2002). <a rel="nofollow" class="external text" href="http://www.dspguide.com"><i>Digital Signal Processing: A Practical Guide for Engineers and Scientists</i></a>. Newnes. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-7506-7444-7" title="Посебно:Штампани извори/978-0-7506-7444-7">978-0-7506-7444-7</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.aufirst=Steven+W.&rft.aulast=Smith&rft.btitle=Digital+Signal+Processing%3A+A+Practical+Guide+for+Engineers+and+Scientists&rft.date=2002&rft.genre=book&rft.isbn=978-0-7506-7444-7&rft.pub=Newnes&rft_id=http%3A%2F%2Fwww.dspguide.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFStein2000" class="citation book">Stein, Jonathan Yaakov (2000). <a rel="nofollow" class="external text" href="https://archive.org/details/digitalsignalpro0000stei"><i>Digital Signal Processing, a Computer Science Perspective</i></a>. Wiley. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-471-29546-4" title="Посебно:Штампани извори/978-0-471-29546-4">978-0-471-29546-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.aufirst=Jonathan+Yaakov&rft.aulast=Stein&rft.btitle=Digital+Signal+Processing%2C+a+Computer+Science+Perspective&rft.date=2000&rft.genre=book&rft.isbn=978-0-471-29546-4&rft.pub=Wiley&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdigitalsignalpro0000stei&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFStergiopoulos2000" class="citation book">Stergiopoulos, Stergios (2000). <a rel="nofollow" class="external text" href="https://archive.org/details/advancedsignalpr0000unse"><i>Advanced Signal Processing Handbook: Theory and Implementation for Radar, Sonar, and Medical Imaging Real-Time Systems</i></a>. CRC Press. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8493-3691-1" title="Посебно:Штампани извори/978-0-8493-3691-1">978-0-8493-3691-1</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.aufirst=Stergios&rft.aulast=Stergiopoulos&rft.btitle=Advanced+Signal+Processing+Handbook%3A+Theory+and+Implementation+for+Radar%2C+Sonar%2C+and+Medical+Imaging+Real-Time+Systems&rft.date=2000&rft.genre=book&rft.isbn=978-0-8493-3691-1&rft.pub=CRC+Press&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fadvancedsignalpr0000unse&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFVan_De_Vegte2001" class="citation book">Van De Vegte, Joyce (2001). <i>Fundamentals of Digital Signal Processing</i>. Prentice Hall. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-13-016077-5" title="Посебно:Штампани извори/978-0-13-016077-5">978-0-13-016077-5</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.aufirst=Joyce&rft.aulast=Van+De+Vegte&rft.btitle=Fundamentals+of+Digital+Signal+Processing&rft.date=2001&rft.genre=book&rft.isbn=978-0-13-016077-5&rft.pub=Prentice+Hall&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFOppenheimSchafer2001" class="citation book">Oppenheim, Alan V.; Schafer, Ronald W. (2001). <i>Discrete-Time Signal Processing</i>. Pearson. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1-292-02572-8" title="Посебно:Штампани извори/978-1-292-02572-8">978-1-292-02572-8</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3ADigitalna+obrada+signala&rft.au=Schafer%2C+Ronald+W.&rft.aufirst=Alan+V.&rft.aulast=Oppenheim&rft.btitle=Discrete-Time+Signal+Processing&rft.date=2001&rft.genre=book&rft.isbn=978-1-292-02572-8&rft.pub=Pearson&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li></ul></div> <table class="wikitable"> <tbody><tr> <th></th> <th><a class="external text" href="https://en.wikipedia.org/wiki/Digital_signal_processing">Дигитална обрада сигнала</a> </th></tr> <tr> <td>Teorija</td> <td><a class="external text" href="https://en.wikipedia.org/wiki/Detection_theory">Detection theory</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Discrete-time_signal">Discrete signal</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Estimation_theory">Estimation theory</a> -<a class="external text" href="https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem">Nyquist–Shannon sampling theorem</a> </td></tr> <tr> <td>Под-поља</td> <td><a class="external text" href="https://en.wikipedia.org/wiki/Audio_signal_processing">Audio signal processing</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Digital_image_processing">Digital image processing</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Speech_processing">Speech processing</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Statistical_signal_processing">Statistical signal processing</a> </td></tr> <tr> <td>Технике</td> <td><a class="external text" href="https://en.wikipedia.org/wiki/Advanced_Z-transform">Advanced Z-transform</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Bilinear_transform">Bilinear transform</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Discrete_Fourier_transform">Discrete Fourier transform</a> (DFT) - <a class="external text" href="https://en.wikipedia.org/wiki/Discrete-time_Fourier_transform">Discrete-time Fourier transform</a> (DTFT) - <a class="external text" href="https://en.wikipedia.org/wiki/Impulse_invariance">Impulse invariance</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Matched_Z-transform_method">Matched Z-transform method</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Z-transform">Z-transform</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Zak_transform">Zak transform</a> </td></tr> <tr> <td>Узорковање</td> <td>Aliasing - <a class="external text" href="https://en.wikipedia.org/wiki/Anti-aliasing_filter">Anti-aliasing filter</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Downsampling">Downsampling</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Nyquist_rate">Nyquist rate</a> / <a class="external text" href="https://en.wikipedia.org/wiki/Nyquist_frequency">frequency</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Oversampling">Oversampling</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Quantization_(signal_processing)">Quantization</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Sampling_rate">Sampling rate</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Undersampling">Undersampling</a> - <a class="external text" href="https://en.wikipedia.org/wiki/Upsampling">Upsampling</a> </td></tr></tbody></table> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r25469611">.mw-parser-output .hlist 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