(Solution) - Compute the eight point circular convolution for the following -(2025 Original AI-Free Solution)

Paper Details

Compute the eight-point circular convolution for the following sequences
(a) x1(n) = {1, 1, 1, 1, 0, 0 ,0 ,0}
x2(n) = sin 3?/8n 0 ? n ? 7
(b) x1(n) = (1/4)n 0 ? n ? 7
x2(n) = cos 3?/8n 0 ? n ? 7
(c) Compute the DFT of the two circular convolution sequences using the DFTs of x1(n) and x2(n).