3 a. The transfer function of analog filter is Ha(s) = (s+2)(s+3) Design a digital IR filter using Bilinear transformation assuming sampling frequency 10HZ. b. Consider the system 1- 2z-1 + 2z-2 – z-3 H(z) = (1 – z-1)(1 – 0.5z-1)(1 – 0.2z-1)' Roc: 0.5|z| > 1 i. Sketch the pole - zero plots. Is the system stable? ii. Determine the impulse response of the system.

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a. The transfer function of analog filter is Ha(s) =
Design a digital IIR filter using
(s+2)(s+3)'
Bilinear transformation assuming sampling frequency 10HZ.
b. Consider the system
1– 2z-1+ 2z-2 – z-3
H(z)
ROC: 0.5|z|> 1
(1 - z-1)(1 – 0.5z-1)(1 – 0.2z-1) '
Sketch the pole - zero plots. Is the system stable?
i.
ii.
Determine the impulse response of the system.
Transcribed Image Text:a. The transfer function of analog filter is Ha(s) = Design a digital IIR filter using (s+2)(s+3)' Bilinear transformation assuming sampling frequency 10HZ. b. Consider the system 1– 2z-1+ 2z-2 – z-3 H(z) ROC: 0.5|z|> 1 (1 - z-1)(1 – 0.5z-1)(1 – 0.2z-1) ' Sketch the pole - zero plots. Is the system stable? i. ii. Determine the impulse response of the system.
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