“Cross-Correlation”的概念、定义、习题解题方法及翻译-数学辞典

单词

Cross-Correlation

释义

Cross-Correlation

Let denote cross-correlation. Then the cross-correlation of two functions and of a realvariable is defined by

(1)

where

denotes Convolution and

is the Complex Conjugate of

. TheConvolution is defined by

(2)

therefore

(3)

Let

, so

and


			(4)

The cross-correlation satisfies the identity

(5)

is Even, then

(6)

where

denotes Convolution.

See also Autocorrelation, Convolution, Cross-Correlation Theorem

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