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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
8.31. The OFT of a finite-duration sequence corresponds to samples of its z-transform on the unit circle. For example, t he OFT of a 10-point sequence x [n] corresponds to samples of X( z) a t the 10 equally spaced points indicated in Figure P8.31 1. We wish to find the equally spaced samples of X( z) on the contour shown in Figure P8.31-2: i.e., we wish to obtain
X( z) Iz=0.5elilhk;IO) +(,.l .
Show how to modify x [n] to obtain a sequence x 1 [n] such that the OFT of x1 [n] corresponds to the desired samples of X( z ).
!J m
z-plane
Unit
circle

.J/J.e
Figure P8.31-1
.1m
Figure P8.31-2
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