An FIR filter has a transfer function H(z) = z 2 (ze jÏ/2 )(ze jÏ/2 ). (a)

Question:

An FIR filter has a transfer function H(z) = z^ˆ’2(zˆ’e^jÏ€/2)(zˆ’e^{ˆ’jÏ€/2}).

(a) Find and plot the poles and zeros of this filter.

(b) Expressing the frequency response at some frequency Ï‰₀ as

(@,)Z,(@o) Pi (Фо)Р2(Фо) H(eo Не)

carefully draw the vectors on the pole-zero plot.

(d) Repeat the above calculations for Ï‰₀ = Ï€ and Ï‰₀ = ± Ï€/2 (verify your result from the given Z-transform). Can you classify this filter?

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 29, 2018 07:03 AM

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An FIR filter has a transfer function H(z) = z 2 (ze jÏ/2 )(ze jÏ/2 ). (a)

Question:

(@,)Z,(@o) Pi (Фо)Р2(Фо) H(eo Не)

Step by Step Answer:

a Poles z 0 double zeros z 12 e j2 j b Vectors Z 1 0 and Z 2 ...View the full answer

Signals and Systems using MATLAB

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