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If h1, h2 and h3 are cascaded, and h1 = u(t), h2 = exp(t) and h3 = sin(t), find the overall impulse response

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in Signals and Systems by (1.2m points)
If h1, h2 and h3 are cascaded, and h1 = u(t), h2 = exp(t) and h3 = sin(t), find the overall impulse response

(a) sin(t)*exp(t)*u(t)

(b) sin(t) + exp(t) + u(t)

(c) u(t)*sin(t)

(d) all of the mentioned

The question was posed to me at a job interview.

I'm obligated to ask this question of Continuous Time Convolution topic in chapter Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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by (42.1k points)
The correct option is (a) sin(t)*exp(t)*u(t)

Explanation: The resultant impulse response will be the convolution of all the subsequent impulse responses.

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