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Convert the analog filter with the system function, Ha(s)=s+0.1(s+0.1)2+9
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Solution:

Ha(s)=1/2s+0.1j3+1/2s+0.1+j3

Then the transfer function of the digital filter

H(z)=1/21e0.1Tej3Tz1+1/21e0.1Tej3Tz1H(z)=1(e0.1Tcos3T)z11(2e0.1Tcos3T)z1+e0.2Tz2

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