Given the polynomial (D(z)=z^{2}-(2+a-b) z+a+1) that represents the denominator of a discrete-time system: (a) Determine the range

Question:

Given the polynomial \(D(z)=z^{2}-(2+a-b) z+a+1\) that represents the denominator of a discrete-time system:

(a) Determine the range of values of \(a\) and \(b\) such that the system is stable, using the stability test described in the text.

(b) Plot a graph \(a \times b\), highlighting the stability region.

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Related Book For  book-img-for-question

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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