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")|< 1 ,for 0sws0.4n |H(ew)| < 0.3 ,for 0.7 < w Sn

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0.531 + 0.343z-1 + 0.35z-2
H(z) =
1+0.142z-1 + 0.53z-2
Option 2
0.312 + 0.643z-1 + 0.3215z-2
H(z)
1+0.1122z-1+0.1738z-2
Option 1
Transcribed Image Text:0.531 + 0.343z-1 + 0.35z-2 H(z) = 1+0.142z-1 + 0.53z-2 Option 2 0.312 + 0.643z-1 + 0.3215z-2 H(z) 1+0.1122z-1+0.1738z-2 Option 1
82
۹:۲۶ ص
Design a Butterworth digital IIR lowpass
filter using bilinear transformation by
talking T=0.2 second to satisfy the
following specification
0.8 < |H(ejw)|< 1 ,for 0<w<0.47
|H(ejw)|< 0.3 ,for 0.7 <w <n
0.785 + 0.865z-1+ 0.215z¬2
0.5 + 0.134z-1 + 0.738z-2
H(2) =
Option 4
0.3125 + 0.643z-1+ 0.3215z-2
H(z) =
1+ 0.142z-1 + 0.153z-2
Option 3
Transcribed Image Text:82 ۹:۲۶ ص Design a Butterworth digital IIR lowpass filter using bilinear transformation by talking T=0.2 second to satisfy the following specification 0.8 < |H(ejw)|< 1 ,for 0<w<0.47 |H(ejw)|< 0.3 ,for 0.7 <w <n 0.785 + 0.865z-1+ 0.215z¬2 0.5 + 0.134z-1 + 0.738z-2 H(2) = Option 4 0.3125 + 0.643z-1+ 0.3215z-2 H(z) = 1+ 0.142z-1 + 0.153z-2 Option 3
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