| </code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h3 id="xcorr" tabindex="-1"><a class="header-anchor" href="#xcorr" aria-hidden="true">#</a> XCorr</h3><h4 id="函数简介-4" tabindex="-1"><a class="header-anchor" href="#函数简介-4" aria-hidden="true">#</a> 函数简介</h4><p>本函数用于计算两条时间序列的互相关函数值, 对离散序列而言,互相关函数可以表示为</p>`,64),c=s("p",{class:"katex-block"},[s("span",{class:"katex-display"},[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("semantics",null,[s("mrow",null,[s("mi",null,"C"),s("mi",null,"R"),s("mo",{stretchy:"false"},"("),s("mi",null,"n"),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mfrac",null,[s("mn",null,"1"),s("mi",null,"N")]),s("munderover",null,[s("mo",null,"∑"),s("mrow",null,[s("mi",null,"m"),s("mo",null,"="),s("mn",null,"1")]),s("mi",null,"N")]),s("msub",null,[s("mi",null,"S"),s("mn",null,"1")]),s("mo",{stretchy:"false"},"["),s("mi",null,"m"),s("mo",{stretchy:"false"},"]"),s("msub",null,[s("mi",null,"S"),s("mn",null,"2")]),s("mo",{stretchy:"false"},"["),s("mi",null,"m"),s("mo",null,"+"),s("mi",null,"n"),s("mo",{stretchy:"false"},"]")]),s("annotation",{encoding:"application/x-tex"}," CR(n) = \\frac{1}{N} \\sum_{m=1}^N S_1[m]S_2[m+n] ")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1em","vertical-align":"-0.25em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"CR"),s("span",{class:"mopen"},"("),s("span",{class:"mord mathnormal"},"n"),s("span",{class:"mclose"},")"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"3.0954em","vertical-align":"-1.2671em"}}),s("span",{class:"mord"},[s("span",{class:"mopen nulldelimiter"}),s("span",{class:"mfrac"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"1.3214em"}},[s("span",{style:{top:"-2.314em"}},[s("span",{class:"pstrut",style:{height:"3em"}}),s("span",{class:"mord"},[s("span",{class:"mord 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DOUBLE。序列中共包含"),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mn",null,"2"),s("mi",null,"N"),s("mo",null,"−"),s("mn",null,"1")]),s("annotation",{encoding:"application/x-tex"},"2N-1")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.7667em","vertical-align":"-0.0833em"}}),s("span",{class:"mord"},"2"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.10903em"}},"N"),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}}),s("span",{class:"mbin"},"−"),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6444em"}}),s("span",{class:"mord"},"1")])])]),a("个数据点, 其中正中心的值为两条序列按照预先对齐的结果计算的互相关系数(即等于以上公式的"),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"C"),s("mi",null,"R"),s("mo",{stretchy:"false"},"("),s("mn",null,"0"),s("mo",{stretchy:"false"},")")]),s("annotation",{encoding:"application/x-tex"},"CR(0)")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1em","vertical-align":"-0.25em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"CR"),s("span",{class:"mopen"},"("),s("span",{class:"mord"},"0"),s("span",{class:"mclose"},")")])])]),a("), 前半部分的值表示将后一条输入序列向前平移时计算的互相关系数, 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id="使用示例-4" tabindex="-1"><a class="header-anchor" href="#使用示例-4" aria-hidden="true">#</a> 使用示例</h4><p>输入序列:</p><div class="language-text line-numbers-mode" data-ext="text"><pre class="language-text"><code>+-----------------------------+---------------+---------------+ |