Four input–output pairs of a particular system S are specified in Figure P2.28-1:
(a) Can system S be time-invariant? Explain.
(b) Can system S be linear? Explain.
(c) Suppose (2) and (3) are input–output pairs of a particular system S2, and the system is known to be LTI.What is h[n], the impulse response of the system?
(d) Suppose (1) is the input–output pair of an LTI system S3. What is the output of this system for the input in Figure P2.28-2:
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