Find the convolution sum of sequences x1[n] = (1, 2, 3) and x2[n] = (2, 1, 4).

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

{2, 5, 12, 11, 12}

{2, 12, 5, 11, 12}

{2, 11, 5, 12, 12}

{-2, 5,-12, 11, 12}

Correct Answer : Option (A) : {2, 5, 12, 11, 12}

Explanation : x1[n] = δ(n)+2δ(n-1)+3δ(n-2) and x2[n] = 2δ(n)+δ(n-1)+4δ(n-2)
Y[n] = x1[n]*x2[n] by performing convolution operation on x1[n] and x2[n] we get the sequence as {2, 5, 12, 11, 12}.

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