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Multiplication of a signal with a Unit Impulse function gives the value of the signal at which the impulse is located.

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Multiplication of a signal with a Unit Impulse function gives the value of the signal at which the impulse is located.

(a) True

(b) False

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This is a very interesting question from The Impulse Function in division Signals and Systems Basics of Signals and Systems

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Correct option is (a) True

Easiest explanation: Multiplying the signal by a unit impulse samples the value of the signal at the point at which the impulse is located.  That is x(t)*∂(t)=x(t)|t=0=x(0)∂(t).

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