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The convolution of a discrete time system with a delta function gives

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in Signals and Systems by (1.2m points)
The convolution of a discrete time system with a delta function gives

(a) the square of the system

(b) the system itself

(c) the derivative of the system

(d) the integral of the system

I got this question during an interview.

My question is from The Impulse Function topic in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
The correct choice is (b) the system itself

The explanation: The integral reduces to the the integral calculated at a single point, determined by the centre of the delta function.

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