Consider a causal linear time-invariant system with system function H(z) and real impulse response. H(z) evaluated for
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Consider a causal linear time-invariant system with system function H(z) and real impulse response. H(z) evaluated for z = ej? is shown in Figure.
(a) Carefully sketch a pole-zero plot for H(z) showing all information about the pole and zero locations that can be inferred from the figure.
(b) What can be said about the length of the impulse response?
(c) Specify whether j?) is linear.?
(d) Specify whether the system is stable.
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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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