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If h1, h2 and h3 are parallelly summed, find the overall impulse response

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in Signals and Systems by (1.2m points)
If h1, h2 and h3 are parallelly summed, find the overall impulse response

(a) h1 + h2 + h3

(b) h1 – h2 + h3

(c) h1*h2*h3

(d) all of the mentioned

This question was posed to me in an internship interview.

My question is based upon Continuous Time Convolution in section Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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by (42.1k points)
Correct answer is (a) h1 + h2 + h3

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

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