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Question

A system have input x(t) and output y(t) follow following relations
y(t)={0 x(t)<0x(t)+x(t2) x(t)0

Then select the correct statements about system.

A
System is time variant
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B
System is stable
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C
System is memory less
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D
System is causal
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Solution

The correct option is D System is causal
(a) System has memory since the values of the output signal y(t) at time t depends on the present and past input signal x(t).
(b) System is causal since the present output y(t) at time t depends on the present and past values of the input signal x(t).
(c) System is time - invariant .
(d) System is stable.
|y(t)|<

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