The system T in Figure is known to be time invariant, when the inputs to the system

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The system T in Figure is known to be time invariant, when the inputs to the system are x1[n], x2 [n], and x3[n], the responses of the system are y1[n], y2[n], and y3[n], as shown.

(a) Determine whether the system T could be linear.

(b) If the input x[n] to the system T is ?[n], what is the system response y[n]?

(c) What are all possible inputs x[n] for which the response of the system T can be determine from the given information alone?

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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