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

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

image

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.)

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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