Let e[n] denote a white-noise sequence, and let s[n] denote a sequence that is uncorrelated with e[n].

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Let e[n] denote a white-noise sequence, and let s[n] denote a sequence that is uncorrelated with e[n]. Show that the sequence

y[n] = s[n]e[n]

 is white, i.e., that

E{y[n] y[n + m]} = Aδ[m],

where A is a constant.

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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