Gven an iir filter defined by the difference equation yn , Engineering Mathematics

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Gven an iir filter defined by the difference equation yn

Question: Given an IIR filter defined by the difference equation

y[n] = -1/2y[n - 1] + x[n]

(a) Determine the system function H(z). What are its poles and zeros?

(b) When the input to the system is

determine the output signal y[n]. Assume that y[n] is zero for n.

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Engineering Mathematics: Gven an iir filter defined by the difference equation yn

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Engineering Mathematics: Gven an iir filter defined by the difference equation yn

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