Let x[n] denote a causal sequence; i.e., x[n] = 0, n < 0. Furthermore, assume that x[0]
Question:
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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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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