Choose the correct equation for finding the output of a discrete time convolution? - Signals and Systems

Electronics and Communication Engineering (ECE) : Signals and Systems - Quiz(MCQ)

Choose the correct equation for finding the output of a discrete time convolution?

A)

y[n] = âˆ‘x[k]h[k], k from 0 to âˆž

B)

y[n] = âˆ‘x[k]h[n-k], k from 0 to âˆž

C)

y[n] = âˆ‘x[k]h[n-k], k from -âˆž to +âˆž

D)

y[n] = âˆ‘x[k]h[n], k from -âˆž to +âˆž

Correct Answer : Option (C) : y[n] = âˆ‘x[k]h[n-k], k from -âˆž to +âˆž

Explanation : y[n]=∑x[k]h[n-k], k from -∞ to +∞
Is the correct equation, where x[n] is the input and h[n] is the impulse response of the ∂[n] input of an LTI system. This is referred to as the convolution sum.

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A)

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B)

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C)

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D)

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B)

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D)

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B)

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D)

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