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The following statements pertain to discrete-time, LTI systems having real-valued impulse responses. For each statement, indicate whether it is true or false and then justify your answer. When referring to phase in these statements, we are specifically referring to unwrapped phase in an amplitude/phase representation of the system response. 1. For a minimum-phase system, the phase at w = 0 is equal to zero, and the phase at w = π is equal to zero. 2. For a minimum-phase system, if group delay Tg (w) is positive at some frequencies, then it must be negative at other frequencies.

The following statements pertain to discrete-time, LTI systems having real-valued impulse responses. For each statement, indicate whether it is true or false and then justify your answer. When referring to phase in these statements, we are specifically referring to unwrapped phase in an amplitude/phase representation of the system response. 1. For a minimum-phase system, the phase at w = 0 is equal to zero, and the phase at w = π is equal to zero. 2. For a minimum-phase system, if group delay Tg (w) is positive at some frequencies, then it must be negative at other frequencies.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Indicate whether the following statements are true or false. Justify your answer. Thanks!

The following statements pertain to discrete-time, LTI systems having real-valued impulse responses. For each statement, indicate whether it is true or false and then justify your answer. When referring to phase in these statements, we are specifically referring to unwrapped phase in an amplitude/phase representation of the system response. 1. For a minimum-phase system, the phase at w = 0 is equal to zero, and the phase at w = π is equal to zero. 2. For a minimum-phase system, if group delay (w) is positive at some frequencies, then it must be negative at other frequencies.
Transcribed Image Text:The following statements pertain to discrete-time, LTI systems having real-valued impulse responses. For each statement, indicate whether it is true or false and then justify your answer. When referring to phase in these statements, we are specifically referring to unwrapped phase in an amplitude/phase representation of the system response. 1. For a minimum-phase system, the phase at w = 0 is equal to zero, and the phase at w = π is equal to zero. 2. For a minimum-phase system, if group delay (w) is positive at some frequencies, then it must be negative at other frequencies.
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