Let H(e j? ) denote the frequency response of an LTI system with impulse response h[n], where

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Let H(e^j?) denote the frequency response of an LTI system with impulse response h[n], where h[n] is, in general, complex.

(a) Using Eq. (2.109), show that H *(e^{? j?}) is the frequency response of a system with impulse response h *[n], where * denotes complex conjugation.

(b) Show that if h[n] is real, the frequency response is conjugate?symmetric, i.e., H(e^{? j?}) = H *(e^?j?).

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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 02:55 AM

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Let H(e j? ) denote the frequency response of an LTI system with impulse response h[n], where

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H(e'®) = h[k]e¯j«k, (2.109) k=-00

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Discrete Time Signal Processing

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