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A stable system has four zeros and four poles given by zeros: z = ± 1,...

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Electrical Engineering

A stable system has four zeros and four poles given by zeros: z= ± 1, ±j and poles: z = ± 0.9, ±j0.9.

It is also known that the frequency response function H(e^jω)evaluated at ω=π/4 is equal to 1, i.e., H(e^jπ/4)=1

a. Determine the transfer function H(z), and indicate the regionof convergence.

b. Determine the difference equation representation.

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