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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

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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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
Transcribed Image Text: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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