Show that the direct-inverse Fourier transform pair of the correlation of two sequences is [sum_{n=-infty}^{infty} x_{1}(n) x_{2}(n+l)

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Show that the direct-inverse Fourier transform pair of the correlation of two sequences is

\[\sum_{n=-\infty}^{\infty} x_{1}(n) x_{2}(n+l) \longleftrightarrow X_{1}\left(\mathrm{e}^{-\mathrm{j} \omega}\right) X_{2}\left(\mathrm{e}^{\mathrm{j} \omega}\right)\]

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Digital Signal Processing System Analysis And Design

ISBN: 9780521887755

2nd Edition

Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto

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