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8. Cross-Correlation Cross-correlation

8. Cross-Correlation Cross-correlation

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Time reversal is the same as taking the complex conjugate in the frequency domain. We can thus write ⎤Φ xy=FT⎡⎣φ xy(t)⎦=X *(f)Y(f) (8-6) Unlike convolution, cross-correlation is not commutative but we can write φ xy(t)=φ yx(−t) (8-7) You can show this by letting τ’ = τ - t In the discrete domain, the correlation of two real ...

  Time, Discrete

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