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What properties does a Continuous time unit Impulse function follow?

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in Signals and Systems by (1.2m points)
What properties does a Continuous time unit Impulse function follow?

(a) Shifting,  sampling, differentiation, multiplication

(b) Multiplication, sampling, shifting

(c) Shifting, multiplication, differentiation

(d) Sampling only

I have been asked this question in an internship interview.

The origin of the question is The Impulse Function topic in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Right answer is (a) Shifting,  sampling, differentiation, multiplication

The best explanation: Continuous time impulse functions follows all the properties like shifting, scaling, sampling or multiplication property, differential.

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