An LTI system is described by the difference equation (a) Determine the system function H(...

An LTI system is described by the difference equation

(a) Determine the system function H(z) for this system.

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(b) Plot the poles and zeros of H(z) in the z-plane.

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(c) From H(z) obtain an expression for , the frequency response of this system.

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(d) Sketch the frequency response (magnitude and phase) as a function of frequency for .

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(e) Determine the output if the input is