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The convolution of x(n)={1,2,3,1} and h(n)={1,2,1,-1}, origin at 2, is?

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The convolution of x(n)={1,2,3,1} and h(n)={1,2,1,-1}, origin at 2, is?

(a) {1,4,8,8,3,-2,-1}, origin at 4

(b) {1,4,8,8,3,-2,1}, origin at 4

(c) {1,3,8,8,3,-2,-1}, origin at 4

(d) {1,4,8,3,-2,-1}, origin at 4

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Question is from Discrete Time Convolution topic in section Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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The correct choice is (a) {1,4,8,8,3,-2,-1}, origin at 4

Explanation: Using  tabular method:

Hence, result is {1,4,8,8,3,-2,-1}, origin at 4.

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