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if the transfer function H(z) of a stable LTI system has two zeros at z =1+j...

if the transfer function H(z) of a stable LTI system has two zeros at z =1+j and z = 1-j and two poles at z = 0 and z = -0.5. Write the expression of H(z), if the frequency response of the system at omega (w) where w = 0 is 1.
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Please find the attached files to see the solution and for any confusion regarding the solution, please comment and I will reply asap.

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