Question: 1. An LTI system is described by the difference equation y[n] = = (x[n] + x[n- 1] + x[n- 2]). (a) Determine the system functibr(z)

1. An LTI system is described by the difference equation y[n] = = (x[n] + x[n- 1] + x[n- 2]). (a) Determine the system functibr(z) for this system. (b) Plot the poles and zeroslotz) in the z-plane. (c) FromH(z) obtain an expression for(el@), the frequency response of this system. (d) Sketch the frequency response (magnitude and phase) as a function of frequency fo - IS WS IL (e) Determine the output when the input is x[n] = 4+ cos(0.25m(n- 1)) - 3cos(2rv/ 3) n]

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