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Which of the following is correct regarding to impulse signal?

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in Signals and Systems by (1.2m points)
Which of the following is correct regarding to impulse signal?

(a) x[n]δ[n] = x[0]δ[n]

(b) x[n]δ[n] = δ[n]

(c) x[n]δ[n] = x[n]

(d) x[n]δ[n] = x[0]

I got this question in final exam.

My doubt is from Convolution : Impulse Response Representation for LTI Systems topic in section Time Domain Representation for LTI Systems of Signals and Systems

1 Answer

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by (42.1k points)
The correct option is (a) x[n]δ[n] = x[0]δ[n]

For explanation: When the input x[n] is multiplied with an impulse signal, the result will be impulse signal with magnitude of x[n] at that time.

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