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:

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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  book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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