For each of the following system functions H k (z), specify a minimum-phase system function H min

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For each of the following system functions H_k(z), specify a minimum-phase system function H_min(z) such that the frequency-response magnitudes of the two systems are equal, i.e., |H_k(e^jω)| = | H_min(e^jω) |.

(a) 1– 2z- H1(z) = 1 + z-' (b) (1 + 3z-') (1 – 2-) Н.(2) %— z' (1 + }z-

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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 02:56 AM

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For each of the following system functions H k (z), specify a minimum-phase system function H min

Question:

(a) 1– 2z- H1(z) = 1 + z-' (b) (1 + 3z-') (1 – 2-) Н.(2) %— z' (1 + }z-") (c) (1 – 32-') (1 – } 2-') Н (2) %— (1 – ") (1 – {-)

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A minimum phase system with an equivalent magnitude spectrum can be found by analyzing the system fu...View the full answer

Discrete Time Signal Processing

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