If X(z) is the z-transform of x(n), show that:(a) Z{x(n)} = Z(z*)(b) Z{Re[x (n)]} = 1/2[X (z)

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If X(z) is the z-transform of x(n), show that:(a) Z{x*(n)} = Z*(z*)(b) Z{Re[x (n)]} = 1/2[X (z) + X*(z*)](c) Z{Im [x(n)]} = ? [X (z) ?? X*(z*) ](d) IfThenxk(z) = X(zk)(e) Z{ej?0nx (n)} = X(ze-j?0)

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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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Question Posted: May 26, 2011 02:58 AM

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If X(z) is the z-transform of x(n), show that:(a) Z{x*(n)} = Z*(z*)(b) Z{Re[x (n)]} = 1/2[X (z)

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J:(%2). ifn/k integer otherwise X(n) 0.

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Digital Signal Processing

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If X(z) is the z-transform of x(n), show that:(a) Z{x(n)} = Z(z*)(b) Z{Re[x (n)]} = 1/2[X (z)