Question

what is the circular convolution of the sequences x1(n)={2,1,2,1} and x2(n)={1,2,3,4}?​

Answer 1

Answer:

Circular convolution using circular convolution:

x1(n) = {1, 2, 3, 4}

and x2 (n) = {1, 2, 1, 2}

L=4, M=4

Length of y(n) = L+M-1=4+4-1=7

∴,x1(n) = {1, 2, 3, 4, 0, 0, 0}

& x2(n) = {1, 2, 1, 2, 0, 0, 0}

For y(0),

Answer 2

Answer:

{14,16,14,16}

Explanation:

we know that the circular convolution of two sequences is given by the expression

see image