Consider the system whose output (y(m)) is described as a function of the input (x(m)) by the

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Consider the system whose output \(y(m)\) is described as a function of the input \(x(m)\) by the following difference equations:

(a) \(y(m)=\sum_{n=-\infty}^{\infty} x(n) \delta(m-n N)\)

(b) \(y(m)=x(m) \sum_{n=-\infty}^{\infty} \delta(m-n N)\).

Determine whether the systems are linear and/or time invariant.

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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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