Consider the system illustrated in figure. The output of an LTI system with an impulse response h[n]

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Consider the system illustrated in figure. The output of an LTI system with an impulse response h[n] = (1/4)nu[n + 10] is multiplied by a unit step function u[n] to yield the output of the over all system. Answer each of the following questions, and briefly justify your answers:

image

(a) Is the overall system LTI?

(b) Is the overall system causal?

(c) Is the overall system stable in the BIBOsense?

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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