Let x[n] denote a causal sequence; i.e., x[n] = 0, n < 0. Furthermore, assume that x[0]

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Let x[n] denote a causal sequence; i.e., x[n] = 0, n < 0. Furthermore, assume that x[0] ≠ 0.

(a) Show that there are no poles or zeros of X(z) at z = ∞, i.e., that lim_z→∞ X(z) is nonzero and finite.

(b) Show that the number of poles in the finite z-plane equals the number of zeros in the finite z-plane. (The finite z-plane excludes z = ∞.)

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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Question Posted: May 26, 2011 02:56 AM

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Let x[n] denote a causal sequence; i.e., x[n] = 0, n < 0. Furthermore, assume that x[0]

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a b Xz X00 znz 10 00 lim z...View the full answer

Discrete Time Signal Processing

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