a) Explain in detail, how to characterise a digital system. Your answer should include all the key steps.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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QA2
a) Explain in detail, how to characterise a digital system. Your
answer should include all the key steps.
b) The transfer function of the digital system is given as:
Н (о)
[1+cos(@)– j sin(@)+cos(2@) – j sin(2@)]
-
i) Sketch the magnitude response of the system above.
ii) From the transfer function above, derive its equivalent
difference equation and sketch the resultant block
diagram
c) Derive the relationship of the phase response of a filter with
respect to frequency and time. Using the derivation, explain
its significance for a linear phase digital filter and the
importance of such response. Your answer must include
clear rational.
Transcribed Image Text:QA2 a) Explain in detail, how to characterise a digital system. Your answer should include all the key steps. b) The transfer function of the digital system is given as: Н (о) [1+cos(@)– j sin(@)+cos(2@) – j sin(2@)] - i) Sketch the magnitude response of the system above. ii) From the transfer function above, derive its equivalent difference equation and sketch the resultant block diagram c) Derive the relationship of the phase response of a filter with respect to frequency and time. Using the derivation, explain its significance for a linear phase digital filter and the importance of such response. Your answer must include clear rational.
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