In example 3.4.1 we solved for x(n), n < 0, by performing contour integration for each value

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In example 3.4.1 we solved for x(n), n < 0, by performing contour integration for each value of n. In general, this procedure proves to be tedious. It can be avoided by making a transforming in the contour integral from z-plane to the w = 1/z plane. Thus a circle of radius R in the z-plane is mapped into a circle if radius 1/R in the w-plane. As a consequence, a pole inside the unit circle in the z-plane is mapped into a pole outside the unit circle in the w-plane. By making the change if variable w = 1/z in the contour integral, determine the sequence x(n) for n < 0 in example 3.4.1
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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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