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单词 Cross-Correlation Theorem
释义

Cross-Correlation Theorem

Let denote the Cross-Correlation of functions and . Then

(1)

where denotes the Fourier Transform and

(2)


(3)

Applying a Fourier Transform on each side gives the cross-correlationtheorem,
(4)

If , then the cross-correlation theorem reduces to the Wiener-Khintchine Theorem.

See also Fourier Transform, Wiener-Khintchine Theorem
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更新时间:2025/2/22 2:05:37