Problem

(a) Suppose we want to design a discrete-time LTI system which has the property that if...

(a) Suppose we want to design a discrete-time LTI system which has the property that if the input is

(i) Find the impulse response and frequency response of a discrete-time LTI system that has the foregoing property.

(ii) Find a difference equation relating x[n] and y[n] that characterizes the system.

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