Dictionary:Parseval’s theorem

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Warning: Display title "Dictionary:Parseval&#x2019;s theorem" overrides earlier display title "帕赛瓦尔定理". 有两个非周期函数h1(t)与h2(t), 其傅里叶变换分别为H1(f)和 H2(f):


Thus the zero-lag value of the crosscorrelation File:Fgr.gif12(0), the two values on the left, equals the integral of the cross-product spectrum and the cross-power-spectral amplitude at zero frequency Φ12(0), the two terms on the right. Both equal the cross-energy in the time domain. See Figure F-22. Named for Marc-Antoinne Parseval des Chenes (1755–1836), French mathematician.


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