Consider a system S with input x n and output y n related according to the block diagram in Figure The input x n is multiplied by e j 0n , and the product is passed through a stable LTI system with impulse response h n (a) Is the system S linear Justify your answer (b) Is the system S time invariant Justify your answer (c) Is the system S stable Justify your answer (d) Specify a system C such that the block diagram in Figure represents an alternative way of expressing the input output relationship of the system S (Note The system C does not have to be an LTI system ) LTI system h n x n y n x n h n e Jann y n

Question: Consider a system S with input x[n] and output y[n] related according to the block diagram in Figure. The input x[n] is multiplied by e

Consider a system S with input x[n] and output y[n] related according to the block diagram in Figure.

LTI system h|n] x[n] y[n] x[n] h[n]e Jann y[n]

The input x[n] is multiplied by e^?j?0n, and the product is passed through a stable LTI system with impulse response?h[n].

(a) Is the system S linear? Justify your answer.

(b) Is the system S time invariant? Justify your answer.

(d) Specify a system C such that the block diagram in Figure represents an alternative way of expressing the input-output relationship of the system S. (Note: The system C does not have to be an LTI system.)

LTI system h|n] x[n] y[n] x[n] h[n]e Jann y[n]

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