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href="/wiki/%E7%89%B9%E5%88%A5:%E3%83%88%E3%83%BC%E3%82%AF%E3%83%9A%E3%83%BC%E3%82%B8" title="このIPアドレスからなされた編集についての議論 [n]" accesskey="n"><span>トーク</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></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="サイト"> <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="目次" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">目次</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">サイドバーに移動</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">非表示</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">ページ先頭</div> </a> </li> <li id="toc-概要" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#概要"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>概要</span> </div> </a> <ul id="toc-概要-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-理論" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#理論"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>理論</span> </div> </a> <ul id="toc-理論-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-他の定義" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#他の定義"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>他の定義</span> </div> </a> <button aria-controls="toc-他の定義-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>他の定義サブセクションを切り替えます</span> </button> <ul id="toc-他の定義-sublist" class="vector-toc-list"> <li id="toc-シヌソイドと符号関数で表す方法" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#シヌソイドと符号関数で表す方法"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>シヌソイドと符号関数で表す方法</span> </div> </a> <ul id="toc-シヌソイドと符号関数で表す方法-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ヘヴィサイドの階段関数_u(t)や矩形関数_⊓(t)で表す方法" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ヘヴィサイドの階段関数_u(t)や矩形関数_⊓(t)で表す方法"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>ヘヴィサイドの階段関数 <i>u</i>(<i>t</i>)や矩形関数 ⊓(<i>t</i>)で表す方法</span> </div> </a> <ul id="toc-ヘヴィサイドの階段関数_u(t)や矩形関数_⊓(t)で表す方法-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-関連項目" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#関連項目"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>関連項目</span> </div> </a> <ul id="toc-関連項目-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="目次" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="目次" > <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="目次の表示・非表示を切り替え" > <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">目次の表示・非表示を切り替え</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">矩形波</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="特定の記事の別の言語版に移動します。利用可能な言語25件" > <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-25" 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">25の言語版</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%D9%88%D8%AC%D8%A9_%D9%85%D8%B1%D8%A8%D8%B9%D8%A9" title="アラビア語: موجة مربعة" lang="ar" hreflang="ar" data-title="موجة مربعة" data-language-autonym="العربية" data-language-local-name="アラビア語" 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/Ona_quadrada" title="カタロニア語: Ona quadrada" lang="ca" hreflang="ca" data-title="Ona quadrada" data-language-autonym="Català" data-language-local-name="カタロニア語" 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/Obd%C3%A9ln%C3%ADkov%C3%BD_pr%C5%AFb%C4%9Bh" title="チェコ語: Obdélníkový průběh" lang="cs" hreflang="cs" data-title="Obdélníkový průběh" data-language-autonym="Čeština" data-language-local-name="チェコ語" 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/Rechteckschwingung" title="ドイツ語: Rechteckschwingung" lang="de" hreflang="de" data-title="Rechteckschwingung" data-language-autonym="Deutsch" data-language-local-name="ドイツ語" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CE%B5%CF%84%CF%81%CE%B1%CE%B3%CF%89%CE%BD%CE%B9%CE%BA%CF%8C_%CE%BA%CF%8D%CE%BC%CE%B1" title="ギリシャ語: Τετραγωνικό κύμα" lang="el" hreflang="el" data-title="Τετραγωνικό κύμα" data-language-autonym="Ελληνικά" data-language-local-name="ギリシャ語" 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/Square_wave" title="英語: Square wave" lang="en" hreflang="en" data-title="Square wave" data-language-autonym="English" data-language-local-name="英語" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Ortangula_ondo" title="エスペラント語: Ortangula ondo" lang="eo" hreflang="eo" data-title="Ortangula ondo" data-language-autonym="Esperanto" data-language-local-name="エスペラント語" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Onda_cuadrada" title="スペイン語: Onda cuadrada" lang="es" hreflang="es" data-title="Onda cuadrada" data-language-autonym="Español" data-language-local-name="スペイン語" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Nelinurklaine" title="エストニア語: Nelinurklaine" lang="et" hreflang="et" data-title="Nelinurklaine" data-language-autonym="Eesti" data-language-local-name="エストニア語" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D9%88%D8%AC_%D9%85%D8%B1%D8%A8%D8%B9%DB%8C" title="ペルシア語: موج مربعی" lang="fa" hreflang="fa" data-title="موج مربعی" data-language-autonym="فارسی" data-language-local-name="ペルシア語" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kanttiaalto" title="フィンランド語: Kanttiaalto" lang="fi" hreflang="fi" data-title="Kanttiaalto" data-language-autonym="Suomi" data-language-local-name="フィンランド語" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Signal_carr%C3%A9" title="フランス語: Signal carré" lang="fr" hreflang="fr" data-title="Signal carré" data-language-autonym="Français" data-language-local-name="フランス語" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%92%D7%9C_%D7%9E%D7%A8%D7%95%D7%91%D7%A2" title="ヘブライ語: גל מרובע" lang="he" hreflang="he" data-title="גל מרובע" data-language-autonym="עברית" data-language-local-name="ヘブライ語" 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%B5%E0%A4%B0%E0%A5%8D%E0%A4%97_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97%E0%A4%B0%E0%A5%82%E0%A4%AA" title="ヒンディー語: वर्ग तरंगरूप" lang="hi" hreflang="hi" data-title="वर्ग तरंगरूप" data-language-autonym="हिन्दी" data-language-local-name="ヒンディー語" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Onda_quadra" title="イタリア語: Onda quadra" lang="it" hreflang="it" data-title="Onda quadra" data-language-autonym="Italiano" data-language-local-name="イタリア語" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B0%A9%ED%98%95%ED%8C%8C" title="韓国語: 방형파" lang="ko" hreflang="ko" data-title="방형파" data-language-autonym="한국어" data-language-local-name="韓国語" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Blokgolf" title="オランダ語: Blokgolf" lang="nl" hreflang="nl" data-title="Blokgolf" data-language-autonym="Nederlands" data-language-local-name="オランダ語" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Firkantkurve" title="ノルウェー語(ニーノシュク): Firkantkurve" lang="nn" hreflang="nn" data-title="Firkantkurve" data-language-autonym="Norsk nynorsk" data-language-local-name="ノルウェー語(ニーノシュク)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Onda_quadrada" title="ポルトガル語: Onda quadrada" lang="pt" hreflang="pt" data-title="Onda quadrada" data-language-autonym="Português" data-language-local-name="ポルトガル語" 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%9C%D0%B5%D0%B0%D0%BD%D0%B4%D1%80_(%D1%80%D0%B0%D0%B4%D0%B8%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0)" title="ロシア語: Меандр (радиотехника)" lang="ru" hreflang="ru" data-title="Меандр (радиотехника)" data-language-autonym="Русский" data-language-local-name="ロシア語" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kvadratni_val" title="スロベニア語: Kvadratni val" lang="sl" hreflang="sl" data-title="Kvadratni val" data-language-autonym="Slovenščina" data-language-local-name="スロベニア語" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Fyrkantsv%C3%A5g" title="スウェーデン語: Fyrkantsvåg" lang="sv" hreflang="sv" data-title="Fyrkantsvåg" data-language-autonym="Svenska" data-language-local-name="スウェーデン語" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kare_dalga" title="トルコ語: Kare dalga" lang="tr" hreflang="tr" data-title="Kare dalga" data-language-autonym="Türkçe" data-language-local-name="トルコ語" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B0%D0%BD%D0%B4%D1%80_(%D1%80%D0%B0%D0%B4%D1%96%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D1%96%D0%BA%D0%B0)" title="ウクライナ語: Меандр (радіотехніка)" lang="uk" hreflang="uk" data-title="Меандр (радіотехніка)" data-language-autonym="Українська" data-language-local-name="ウクライナ語" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%96%B9%E6%B3%A2" title="中国語: 方波" lang="zh" hreflang="zh" data-title="方波" data-language-autonym="中文" data-language-local-name="中国語" 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/Q1136640#sitelinks-wikipedia" title="言語間リンクを編集" class="wbc-editpage">リンクを編集</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div 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class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q1136640" title="関連付けられたデータリポジトリ項目へのリンク [g]" accesskey="g"><span>ウィキデータ項目</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="ページツール"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="表示"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">表示</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">サイドバーに移動</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">非表示</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">出典: フリー百科事典『ウィキペディア（Wikipedia）』</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ja" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r101304250">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%;font-size:90%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 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}html.client-js body.skin-minerva .mw-parser-output .mbox-text-span{margin-left:23px!important}@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-出典の明記 plainlinks metadata ambox ambox-content ambox-出典の明記" 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/6/64/Question_book-4.svg/50px-Question_book-4.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/75px-Question_book-4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/100px-Question_book-4.svg.png 2x" data-file-width="262" data-file-height="204" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span"><b>この記事は<a href="/wiki/Wikipedia:%E6%A4%9C%E8%A8%BC%E5%8F%AF%E8%83%BD%E6%80%A7" title="Wikipedia:検証可能性">検証可能</a>な<a href="/wiki/Wikipedia:%E4%BF%A1%E9%A0%BC%E3%81%A7%E3%81%8D%E3%82%8B%E6%83%85%E5%A0%B1%E6%BA%90" title="Wikipedia:信頼できる情報源">参考文献や出典</a>が全く示されていないか、不十分です。</b><span class="hide-when-compact"> <a href="/wiki/Wikipedia:%E5%87%BA%E5%85%B8%E3%82%92%E6%98%8E%E8%A8%98%E3%81%99%E3%82%8B" title="Wikipedia:出典を明記する">出典を追加</a>して記事の信頼性向上にご協力ください。<small>（<a href="/wiki/Template:%E5%87%BA%E5%85%B8%E3%81%AE%E6%98%8E%E8%A8%98/doc" title="Template:出典の明記/doc">このテンプレートの使い方</a>）</small><br /><small><span class="plainlinks">出典検索<a href="/wiki/Template:Find_sources_mainspace" title="Template:Find sources mainspace"><sup>?</sup></a>: <a rel="nofollow" class="external text" href="//www.google.co.jp/search?hl=ja&as_eq=wikipedia&q=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22&num=50">"矩形波"</a> – <a rel="nofollow" class="external text" href="//www.google.co.jp/search?hl=ja&q=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22&tbm=nws">ニュース</a> <b>·</b> <a rel="nofollow" class="external text" href="//www.google.co.jp/search?hl=ja&tbs=bks:1&q=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22">書籍</a> <b>·</b> <a rel="nofollow" class="external text" href="//scholar.google.co.jp/scholar?num=100&hl=ja&q=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22">スカラー</a> <b>·</b> <a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/opensearch/search?lang=ja&q=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22&range=2&count=200&sortorder=1&type=0">CiNii</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstage.jst.go.jp/result/global/-char/ja?globalSearchKey=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22">J-STAGE</a> <b>·</b> <a rel="nofollow" class="external text" href="https://ndlsearch.ndl.go.jp/api/openurl?any=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22">NDL</a> <b>·</b> <a rel="nofollow" class="external text" href="https://dlib.jp/?q=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22">dlib.jp</a> <b>·</b> <a rel="nofollow" class="external text" href="https://jpsearch.go.jp/csearch/jps-cross?csid=jps-cross&keyword=%22%E7%9F%A9%E5%BD%A2%E6%B3%A2%22">ジャパンサーチ</a> <b>·</b> <a rel="nofollow" class="external text" href="https://wikipedialibrary.wmflabs.org/partners/">TWL</a></span></small></span> <span class="date-container"><i>(<span class="date"><span title="2015年9月">2015年9月</span></span>)</i></span></div></td></tr></tbody></table> <figure class="mw-default-size skin-invert-image" typeof="mw:File/Thumb"><a href="/wiki/%E3%83%95%E3%82%A1%E3%82%A4%E3%83%AB:Waveforms.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/220px-Waveforms.svg.png" decoding="async" width="220" height="188" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/330px-Waveforms.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/440px-Waveforms.svg.png 2x" data-file-width="620" data-file-height="530" /></a><figcaption>（上から）<a href="/wiki/%E6%AD%A3%E5%BC%A6%E6%B3%A2" title="正弦波">正弦波</a>、矩形波、<a href="/wiki/%E4%B8%89%E8%A7%92%E6%B3%A2_(%E6%B3%A2%E5%BD%A2)" title="三角波 (波形)">三角波</a>、<a href="/wiki/%E3%81%AE%E3%81%93%E3%81%8E%E3%82%8A%E6%B3%A2" title="のこぎり波">のこぎり波</a>の波形</figcaption></figure> <style data-mw-deduplicate="TemplateStyles:r94202605">.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><style data-mw-deduplicate="TemplateStyles:r94859068">.mw-parser-output .listen .side-box-text{line-height:1.1em}.mw-parser-output .listen-plain{border:none;background:transparent}.mw-parser-output .listen-embedded{width:100%;margin:0;border-width:1px 0 0 0;background:transparent}.mw-parser-output .listen-header{padding:2px}.mw-parser-output .listen-embedded .listen-header{padding:2px 0}.mw-parser-output .listen-file-header{padding:4px 0}.mw-parser-output .listen .description{padding-top:2px}.mw-parser-output .listen .mw-tmh-player{max-width:100%}@media(max-width:719px){.mw-parser-output .listen{clear:both}}@media(min-width:720px){.mw-parser-output .listen:not(.listen-noimage){width:320px}.mw-parser-output .listen-left{overflow:visible;float:left}.mw-parser-output .listen-center{float:none;margin-left:auto;margin-right:auto}}</style><div class="side-box side-box-right listen noprint"> <div class="side-box-flex"> <div class="side-box-image"><figure class="mw-halign-center" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Gnome-mime-sound-openclipart.svg/50px-Gnome-mime-sound-openclipart.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Gnome-mime-sound-openclipart.svg/75px-Gnome-mime-sound-openclipart.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/87/Gnome-mime-sound-openclipart.svg/100px-Gnome-mime-sound-openclipart.svg.png 2x" data-file-width="160" data-file-height="160" /></span><figcaption></figcaption></figure></div> <div class="side-box-text plainlist"><div class="haudio"> <div class="listen-file-header"><a href="/wiki/%E3%83%95%E3%82%A1%E3%82%A4%E3%83%AB:220_Hz_anti-aliased_square_wave.ogg" title="ファイル:220 Hz anti-aliased square wave.ogg">矩形波のサンプル音</a></div> <div><span typeof="mw:File"><span><audio id="mwe_player_0" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="232" style="width:232px;" data-durationhint="5" data-mwtitle="220_Hz_anti-aliased_square_wave.ogg" data-mwprovider="wikimediacommons"><source src="//upload.wikimedia.org/wikipedia/commons/0/08/220_Hz_anti-aliased_square_wave.ogg" type="audio/ogg; codecs="vorbis"" data-width="0" data-height="0" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/0/08/220_Hz_anti-aliased_square_wave.ogg/220_Hz_anti-aliased_square_wave.ogg.mp3" type="audio/mpeg" data-transcodekey="mp3" data-width="0" data-height="0" /></audio></span></span></div> <div class="description">220 Hz の矩形波（5秒間）</div></div></div></div> <div class="side-box-abovebelow"><hr /><i class="selfreference">この音声や映像がうまく視聴できない場合は、<a href="/wiki/Help:%E9%9F%B3%E5%A3%B0%E3%83%BB%E5%8B%95%E7%94%BB%E3%81%AE%E5%86%8D%E7%94%9F" title="Help:音声・動画の再生">Help:音声・動画の再生</a>をご覧ください。</i></div> </div> <p><b>矩形波</b>（くけいは、Square wave）とは<a href="/w/index.php?title=%E9%9D%9E%E6%AD%A3%E5%BC%A6%E6%B3%A2%E5%BD%A2&action=edit&redlink=1" class="new" title="非正弦波形 (存在しないページ)">非正弦波形</a>の基本的な一種であり、<a href="/wiki/%E9%9B%BB%E5%AD%90%E5%B7%A5%E5%AD%A6" title="電子工学">電子工学</a>や<a href="/wiki/%E4%BF%A1%E5%8F%B7%E5%87%A6%E7%90%86" title="信号処理">信号処理</a>の分野で広く使われている。理想的な矩形波は2レベルの間を規則的かつ瞬間的に変化するが、その2レベルにはゼロが含まれることも含まれないこともある。<b>方形波</b>とも呼ばれる。 </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="概要"><span id=".E6.A6.82.E8.A6.81"></span>概要</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9F%A9%E5%BD%A2%E6%B3%A2&action=edit&section=1" title="節を編集: 概要"><span>編集</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>矩形波はデジタルスイッチング回路で広く使われており、binary（2レベル）の論理回路から生成される。厳密に定められた間隔で<a href="/wiki/%E5%90%8C%E6%9C%9F%E5%9B%9E%E8%B7%AF" class="mw-redirect" title="同期回路">同期論理回路</a>を動作させるためには矩形波の高速な遷移が適しているので、<a href="/wiki/%E3%82%BF%E3%82%A4%E3%83%9F%E3%83%B3%E3%82%B0" class="mw-disambig" title="タイミング">タイミング</a>の基準や「<a href="/wiki/%E3%82%AF%E3%83%AD%E3%83%83%E3%82%AF" title="クロック">クロック</a>信号」に使用されている。しかしながら<a href="/wiki/%E5%91%A8%E6%B3%A2%E6%95%B0%E9%A0%98%E5%9F%9F" title="周波数領域">周波数領域</a>グラフからわかるように、矩形波は広帯域の周波数成分を含んでいる。これらは<a href="/wiki/%E9%9B%BB%E7%A3%81%E6%94%BE%E5%B0%84" class="mw-redirect" title="電磁放射">電磁放射</a>や電流のパルスを発生させてしまい、近くの<a href="/wiki/%E5%9B%9E%E8%B7%AF" class="mw-disambig" title="回路">回路</a>に影響を及ぼしその結果、<a href="/wiki/%E9%9B%91%E9%9F%B3" class="mw-redirect" title="雑音">雑音</a>や<a href="/wiki/%E8%AA%A4%E3%82%8A" title="誤り">誤り</a>を引き起こす。精密な<a href="/wiki/AD%E5%A4%89%E6%8F%9B%E5%99%A8" class="mw-redirect" title="AD変換器">AD変換器</a>のような非常に敏感な回路などではこの問題を避けるために、矩形波の代わりに<a href="/wiki/%E6%AD%A3%E5%BC%A6%E6%B3%A2" title="正弦波">正弦波</a>をタイミング基準として使用する。 </p> <div class="mw-heading mw-heading2"><h2 id="理論"><span id=".E7.90.86.E8.AB.96"></span>理論</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9F%A9%E5%BD%A2%E6%B3%A2&action=edit&section=2" title="節を編集: 理論"><span>編集</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right skin-invert-image" typeof="mw:File/Thumb"><a href="/wiki/%E3%83%95%E3%82%A1%E3%82%A4%E3%83%AB:Synthesis_square.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Synthesis_square.gif/350px-Synthesis_square.gif" decoding="async" width="350" height="175" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/0/0a/Synthesis_square.gif 1.5x" data-file-width="500" data-file-height="250" /></a><figcaption>フーリエ級数による矩形波のアニメーション</figcaption></figure> <p><a href="/wiki/%E3%83%95%E3%83%BC%E3%83%AA%E3%82%A8%E7%B4%9A%E6%95%B0" title="フーリエ級数">フーリエ級数</a>を使用して、<a href="/wiki/%E7%84%A1%E9%99%90%E7%B4%9A%E6%95%B0" class="mw-redirect" title="無限級数">無限級数</a>の形で理想的な矩形波を表すことができる。 </p><p><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 x_{\mathrm {square} }(t)={\frac {4}{\pi }}\sum _{k=1}^{\infty }{\frac {\sin\{{\bigl (}2k-1)2\pi ft\}}{2k-1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">q</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">e</mi> </mrow> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mi>π</mi> </mfrac> </mrow> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>sin</mi> <mo>⁡</mo> <mo fence="false" stretchy="false">{</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-OPEN"> <mo maxsize="1.2em" minsize="1.2em">(</mo> </mrow> </mrow> <mn>2</mn> <mi>k</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mn>2</mn> <mi>π</mi> <mi>f</mi> <mi>t</mi> <mo fence="false" stretchy="false">}</mo> </mrow> <mrow> <mn>2</mn> <mi>k</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{\mathrm {square} }(t)={\frac {4}{\pi }}\sum _{k=1}^{\infty }{\frac {\sin\{{\bigl (}2k-1)2\pi ft\}}{2k-1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f07e0842e1ed30e16d4a6b496e0b67e70c76920" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:37.22ex; height:7.176ex;" alt="{\displaystyle x_{\mathrm {square} }(t)={\frac {4}{\pi }}\sum _{k=1}^{\infty }{\frac {\sin\{{\bigl (}2k-1)2\pi ft\}}{2k-1}}}"></span> </p><p>フーリエ級数による矩形波の表現で興味深いのは<a href="/wiki/%E3%82%AE%E3%83%96%E3%82%BA%E7%8F%BE%E8%B1%A1" title="ギブズ現象">ギブズ現象</a>である。理想的ではない矩形波で生じる<a href="/wiki/%E3%83%AA%E3%83%B3%E3%82%AE%E3%83%B3%E3%82%B0" title="リンギング">リンギング</a>は、この現象と関連している。ギブズ現象は<span title="リンク先の項目はまだありません。新規の執筆や他言語版からの翻訳が望まれます。"><a href="/w/index.php?title=%E3%82%B7%E3%82%B0%E3%83%9E%E8%BF%91%E4%BC%BC&action=edit&redlink=1" class="new" title="シグマ近似 (存在しないページ)">シグマ近似</a><span style="font-size: 0.77em; font-weight: normal;" class="noprint">（<a href="https://en.wikipedia.org/wiki/Sigma_approximation" class="extiw" title="en:Sigma approximation">英語版</a>）</span></span>を用いることで防ぐことができ、系列がより滑らかに収束するように「Lanczos sigma factors」を使うことができる。 </p><p>理想的な矩形波には、信号の高値から低値への変化が切れ味よく瞬間的であることが求められる。そのためには無限の帯域幅が必要となるので、現実の世界での達成は不可能である。 </p><p>現実の世界には有限の帯域幅しか存在しないため、<a href="/wiki/%E3%82%AE%E3%83%96%E3%82%BA%E7%8F%BE%E8%B1%A1" title="ギブズ現象">ギブズ現象</a>に似たリンギングやシグマ近似に似た<a href="/wiki/%E3%83%AA%E3%83%83%E3%83%97%E3%83%AB_(%E9%9B%BB%E6%B0%97%E5%B7%A5%E5%AD%A6)" title="リップル (電気工学)">リップル</a>が起きることがよくある。 </p> <div class="mw-heading mw-heading2"><h2 id="他の定義"><span id=".E4.BB.96.E3.81.AE.E5.AE.9A.E7.BE.A9"></span>他の定義</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9F%A9%E5%BD%A2%E6%B3%A2&action=edit&section=3" title="節を編集: 他の定義"><span>編集</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>矩形波には数多くの定義があり、不連続の場合を除けばそれぞれ等価である。 </p> <div class="mw-heading mw-heading3"><h3 id="シヌソイドと符号関数で表す方法"><span id=".E3.82.B7.E3.83.8C.E3.82.BD.E3.82.A4.E3.83.89.E3.81.A8.E7.AC.A6.E5.8F.B7.E9.96.A2.E6.95.B0.E3.81.A7.E8.A1.A8.E3.81.99.E6.96.B9.E6.B3.95"></span>シヌソイドと符号関数で表す方法</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9F%A9%E5%BD%A2%E6%B3%A2&action=edit&section=4" title="節を編集: シヌソイドと符号関数で表す方法"><span>編集</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="rellink" style="margin-bottom: 0.5em; padding-left: 2em; font-size: 90%;" role="note">→詳細は「<a href="/wiki/%E3%82%B7%E3%83%8C%E3%82%BD%E3%82%A4%E3%83%89" class="mw-redirect" title="シヌソイド">シヌソイド</a>」を参照</div> <div style="margin-top:1ex; margin-left:2em; margin-bottom:1ex;"> <p><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 x(t)=\operatorname {sgn}(\sin(t))}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>sgn</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(t)=\operatorname {sgn}(\sin(t))}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c91055fbaf1a500f42975e4f1ae561a5d1ed594f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.762ex; height:2.843ex;" alt="{\displaystyle x(t)=\operatorname {sgn}(\sin(t))}"></span> </p> </div> <div class="mw-heading mw-heading3"><h3 id="ヘヴィサイドの階段関数_u(t)や矩形関数_⊓(t)で表す方法"><span id=".E3.83.98.E3.83.B4.E3.82.A3.E3.82.B5.E3.82.A4.E3.83.89.E3.81.AE.E9.9A.8E.E6.AE.B5.E9.96.A2.E6.95.B0_u.28t.29.E3.82.84.E7.9F.A9.E5.BD.A2.E9.96.A2.E6.95.B0_.E2.8A.93.28t.29.E3.81.A7.E8.A1.A8.E3.81.99.E6.96.B9.E6.B3.95"></span>ヘヴィサイドの階段関数 <i>u</i>(<i>t</i>)や矩形関数 ⊓(<i>t</i>)で表す方法</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9F%A9%E5%BD%A2%E6%B3%A2&action=edit&section=5" title="節を編集: ヘヴィサイドの階段関数 u(t)や矩形関数 ⊓(t)で表す方法"><span>編集</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="rellink" style="margin-bottom: 0.5em; padding-left: 2em; font-size: 90%;" role="note">→詳細は「<a href="/wiki/%E3%83%98%E3%83%B4%E3%82%A3%E3%82%B5%E3%82%A4%E3%83%89%E3%81%AE%E9%9A%8E%E6%AE%B5%E9%96%A2%E6%95%B0" title="ヘヴィサイドの階段関数">ヘヴィサイドの階段関数</a>」および「<a href="/wiki/%E7%9F%A9%E5%BD%A2%E9%96%A2%E6%95%B0" title="矩形関数">矩形関数</a>」を参照</div> <div style="margin-top:1ex; margin-left:2em; margin-bottom:1ex;"> <p><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 x(t)=\sum _{n=-\infty }^{+\infty }\sqcap \left(t-nT\right)=\sum _{n=-\infty }^{+\infty }\left\{u\left(t-nT+{\frac {1}{2}}\right)-u\left(t-nT-{\frac {1}{2}}\right)\right\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>=</mo> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>+</mo> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mo>⊓</mo> <mrow> <mo>(</mo> <mrow> <mi>t</mi> <mo>−</mo> <mi>n</mi> <mi>T</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>=</mo> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>+</mo> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mrow> <mo>{</mo> <mrow> <mi>u</mi> <mrow> <mo>(</mo> <mrow> <mi>t</mi> <mo>−</mo> <mi>n</mi> <mi>T</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mo>−</mo> <mi>u</mi> <mrow> <mo>(</mo> <mrow> <mi>t</mi> <mo>−</mo> <mi>n</mi> <mi>T</mi> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mrow> <mo>}</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(t)=\sum _{n=-\infty }^{+\infty }\sqcap \left(t-nT\right)=\sum _{n=-\infty }^{+\infty }\left\{u\left(t-nT+{\frac {1}{2}}\right)-u\left(t-nT-{\frac {1}{2}}\right)\right\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bd8f5237fa9d04db853a91a9dbcaaa8ded71512" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:71.483ex; height:7.176ex;" alt="{\displaystyle x(t)=\sum _{n=-\infty }^{+\infty }\sqcap \left(t-nT\right)=\sum _{n=-\infty }^{+\infty }\left\{u\left(t-nT+{\frac {1}{2}}\right)-u\left(t-nT-{\frac {1}{2}}\right)\right\}}"></span> </p> </div> <p><a href="/wiki/%E3%83%87%E3%83%A5%E3%83%BC%E3%83%86%E3%82%A3%E6%AF%94" title="デューティ比">デューティ比</a>が50%の時に<i>T</i>は2である。また区分的な方法で定義することもできる。 </p> <div style="margin-top:1ex; margin-left:2em; margin-bottom:1ex;"> <p><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 x(t)={\begin{cases}1,&|t|<T_{1}\\0,&T_{1}<|t|\leq {\frac {T}{2}}\end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mn>1</mn> <mo>,</mo> </mtd> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo><</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> <mo>,</mo> </mtd> <mtd> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>T</mi> <mn>2</mn> </mfrac> </mrow> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(t)={\begin{cases}1,&|t|<T_{1}\\0,&T_{1}<|t|\leq {\frac {T}{2}}\end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/574f732a45c7e8d868124e1508eba7cfb79a88e7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:26.439ex; height:6.509ex;" alt="{\displaystyle x(t)={\begin{cases}1,&|t|<T_{1}\\0,&T_{1}<|t|\leq {\frac {T}{2}}\end{cases}}}"></span> </p> </div> <p>以下の場合において </p> <div style="margin-top:1ex; margin-left:2em; margin-bottom:1ex;"> <p><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 x(t+T)=x(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo>+</mo> <mi>T</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(t+T)=x(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bd4ea42d2b7b7bde5122dace7e9b3793e6059f36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.532ex; height:2.843ex;" alt="{\displaystyle x(t+T)=x(t)}"></span> </p> </div> <div class="mw-heading mw-heading2"><h2 id="関連項目"><span id=".E9.96.A2.E9.80.A3.E9.A0.85.E7.9B.AE"></span>関連項目</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9F%A9%E5%BD%A2%E6%B3%A2&action=edit&section=6" title="節を編集: 関連項目"><span>編集</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a 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