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What is the convolution of a signal with an impulse?

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in Signals and Systems by (1.2m points)
What is the convolution of a signal with an impulse?

(a) Signal itself

(b) Impulse

(c) A new signal

(d) Signal multiplied by impulse

I had been asked this question in my homework.

This interesting question is from Discrete Time Convolution in portion Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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by (42.1k points)
The correct answer is (a) Signal itself

The best I can explain: The convolution of a signal x(n) with a unit impulse function ∂(n) results in the signal x(n) itself:

x(n)* ∂(n)=x(n).

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