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Design a Butterworth digital IIR lowpass filter using bilinear transformation by talking T=0.2 second to satisfy the following specification 0.8 < |H(ej")|<1 ,for 0

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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Design a Butterworth digital IIR lowpass filter using bilinear transformation by
talking T=0.2 second to satisfy the following specification
0.8 < |H(e]w)|<1 ,for
|H(ejw)|< 0.3 ,for 0.7 <w < n
0 <w< 0.4n
0.312 + 0.643z-1+ 0.3215z-2
0.3125 + 0.643z- + 0.3215z-2
1+0.142z-1+0.153z-2
H(z)
H(z) =
1+0.1122z-1 + 0.1738z-2
Option 3
Option 1
0.531 + 0.343z- + 0.35z-2
H(z)
1+ 0.142z-1 + 0,53z-2
0.785 + 0.865z-+ 0.215z-2
H(2):
0.5+ 0.134z-1 + 0.738z-2
Option 2
Option 4

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