The shift transformation, S.({yk}) = {yk-1}, shifts each entry in the signal one position to the right.

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The shift transformation, S.({yk}) = {yk-1}, shifts each entry in the signal one position to the right. The moving average transformation,image


creates a new signal by averaging two consecutive terms in the given signal. The constant signal of all ones is given by χ = {1k} and the alternating signal by a = {(-1)k}.


Show that a is an eigenvector of the moving average transformation M. What is the associated eigenvalue?

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Related Book For  answer-question

Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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