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If y(t) = e^x(t), then the relation is _________

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in Signals and Systems by (1.2m points)
If y(t) = e^x(t), then the relation is _________

(a) Dynamic

(b) Static

(c) Memory

(d) Memoryless but not static

I have been asked this question in a job interview.

Asked question is from Fourier Series and LTI Systems topic in section Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
The correct choice is (b) Static

For explanation: Given relation, y (t) = e^x(t).

The system represented by the above relation is static (memoryless) since the output at time t is dependent on t only. Further, the input-output relation is not an integrodifferential relation. Hence it is a static system.

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