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Design Butterworth filter using impulse invariant method for the following specification,

Design Butterworth filter using the impulse invariant method for the following specification,

0.8|H(ejω)|1,0ω0.2π|H(ejω)|0.2,0.6πωπ

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Solution:

11+ε2=0.8ε=0.7511+λ2=0.2λ=4.899

Ws =0.6 pi rad: wp=0.2 pi rad . then assume T=1sec

ωsωp=ΩsTΩpT=ΩsΩp=0.6π0.2π=3

Nlog(λε)log(ΩsΩp)log(4.8990.75)log31.71

For N=2 the transfer …

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