Question

The convolution y [n] = x [n] * h [n], where x [n] = {1,2,4} and h [n] = {1,1,1,1,1} is ________________

(a) {1,3,7,7,7,6,4}

(b) {1,3,3,7,7,6,4}

(c) {1,2,4}

(d) {1,3,7}

I got this question during an online interview.

My doubt stems from Average Power and Energy of a Signal in portion Fourier Series of Signals and Systems

Answer 1

The correct answer is (a) {1,3,7,7,7,6,4}

For explanation: Given x [n] = {1, 2, 4} and h [n] = {1, 1, 1, 1, 1}.

Now, y [n] is the convolution of x [n] and h [n].

Hence, y [n] = {1, 3, 7, 7, 7, 6, 4}.