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Determine the difference equation relating the input (x[n]) and outpt (y[n])


(a) Determine the difference equation relating the input (x[n]) and outpt (y[n]) for an LTI system whose impulse response is given by: 

h(n) = (1/4){δ(n) + δ(n - 1) 


(b) Find and plot the amplitude and phase response of the above LTI system. Indicate what kind of filter this system represents.

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