A numerical filter design problem is given. This filter, which is desired to be causal and stable, suppresses 0 and π frequencies (having zero at z1=1 and z2=-1 points) and passes π/2 and –π/2 frequencies (p1=rejπ/2 and p2=re-jπ/2). have poles at the points) is desired. By choosing an appropriate r-value, the filter:a. give the system function and frequency response,b. Give the unit impulse response,c. Give the difference equation.

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Answered: A numerical filter design problem is…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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A numerical filter design problem is given. This filter, which is desired to be causal and stable, suppresses 0 and π frequencies (having zero at z₁=1 and z₂=-1 points) and passes π/2 and –π/2 frequencies (p₁=re^jπ/2 and p2=re^-jπ/2). have poles at the points) is desired. By choosing an appropriate r-value, the filter:

a. give the system function and frequency response,
b. Give the unit impulse response,
c. Give the difference equation.

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