Difference between revisions of "Dictionary:Parseval’s theorem/zh"

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(Created page with "有两个非周期函数''h''<sub>1</sub>(''t'')与''h''<sub>2</sub>(''t''), 其傅里叶变换分别为''H''<sub>1</sub>(''f'')和 ''H''<sub>2</sub>(''f''):")
(Created page with "这样, 互相关的零延迟值<sub>12</sub>(0) (左边的两个值) 等于叉积谱的积分; 同样, 零频率的互功率谱振幅Φ<sub>12</sub>(0) (右边的两项...")
Line 7: Line 7:
Thus the zero-lag value of the crosscorrelation [[File:Fgr.gif|File:Fgr.gif]]<sub>12</sub>(0), the two values on the left, equals the integral of the cross-product spectrum and the cross-power-spectral amplitude at zero frequency &#x03A6;<sub>12</sub>(0), the two terms on the right. Both equal the cross-energy in the time domain. See Figure [[Special:MyLanguage/Dictionary:Fig_F-22|F-22]]. Named for Marc-Antoinne Parseval des Chenes (1755&#x2013;1836), French mathematician.
这样, 互相关的零延迟值<sub>12</sub>(0) (左边的两个值) 等于叉积谱的积分; 同样, 零频率的互功率谱振幅&#x03A6;<sub>12</sub>(0) (右边的两项) 等于时间域的互能量. 参照图[[Special:MyLanguage/Dictionary:Fig_F-22|F-22]]. 由法国数学家Marc-Antoinne Parseval des Chenes (1755&#x2013;1836)命名.

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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):

这样, 互相关的零延迟值12(0) (左边的两个值) 等于叉积谱的积分; 同样, 零频率的互功率谱振幅Φ12(0) (右边的两项) 等于时间域的互能量. 参照图F-22. 由法国数学家Marc-Antoinne Parseval des Chenes (1755–1836)命名.

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