Consider a discrete-time LTI system with frequency response H(e j? ) and corresponding impulse response h[n]. (a)
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Consider a discrete-time LTI system with frequency response H(ej?) and corresponding impulse response h[n].
(a) We are first given the following three clues about the system:
(i) The system is causal.
(ii) H(ej?) = H*(e?j?).
(iii) The DTFT of the sequence h[n + 1] is real.
Using these three clues, show that the system has an impulse response of finite duration
(b) In addition to the preceding three clues, we are now given two more clues:
Is there enough information to identify the system uniquely? If so, determine the impulse response h[n]. If not, specify as much as you can about the sequenceh[n].
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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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