Question

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

(a) {2, 5, 12, 11, 12}

(b) {2, 12, 5, 11, 12}

(c) {2, 11, 5, 12, 12}

(d) {-2, 5,-12, 11, 12}

The question was asked in homework.

Question is taken from Convolution : Impulse Response Representation for LTI Systems in division Time Domain Representation for LTI Systems of Signals and Systems

Answer 1

The correct answer is (a) {2, 5, 12, 11, 12}

The best 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}.