Show that (x(n)=a^{n}) is an eigenfunction of a linear time-invariant system by computing the convolution summation of

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Show that \(x(n)=a^{n}\) is an eigenfunction of a linear time-invariant system by computing the convolution summation of \(x(n)\) and the impulse response of the system \(h(n)\). Determine the corresponding eigenvalue.

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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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