Determine difference equation relating the input and output

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Reference no: EM131531638

Question: Answer the following questions about the system whose z-transform system function is

H(z) = 1 + 0.8z^-1 1 - 0.9z^-1

(a) Determine the poles and zeros of H(z).

(b) Determine the difference equation relating the input and output of this filter.

(d) Is this filter a lowpass filter or a highpass filter? Explain your answer in terms of the poles and zeros of H(z).

Reference no: EM131531638

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