Consider the filter shown in figure (a) Determine its system function. (b) Sketch the pole-zero plot and

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Consider the filter shown in figure

(a) Determine its system function.

(b) Sketch the pole-zero plot and check for stability if

(1) b0 = b2 = 1,             b1 = 2,  a1 = 1.5, a2 = - 0.9

(2) b0 = b2 = 1,             b1 = 2,  a1 = 1,   a2 = - 2

(c) Determine the response to x(n) = cos(πn/3) if b0 = 1, b1 = b2 = 0, a1 = 1, and a2 = - 0.99.

X(n) bo b2 ytn)

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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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