Examveda

The impulse response functions of four linear systems S1, S2, S3, S4 are given respectively by
$${h_1}\left( t \right) = 1,$$   $${h_2}\left( t \right) = u\left( t \right),$$   $${h_3}\left( t \right) = \frac{{u\left( t \right)}}{{t + 1}},$$    $${h_4}\left( t \right) = {e^{ - 3t}}u\left( t \right)$$
Where u(t) is the unit step function. Which of these systems is time invariant, causal, and stable?

A. S1

B. S2

C. S3

D. S4

Answer: Option D


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