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Find circular convolution and linear using circular convolution for the following sequences x1(n) = {1, 2, 3, 4} and x2(n) = {1, 2, 1, 2}. Using Time Domain formula method.

Mumbai University > Computer Engineering > Sem 7 > Digital Signal Processing

Marks: 10 Marks

Year: Dec 2015

answer is right but you have given wrong headings. first one is linear using circular and second one is circular convolution.


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Circular convolution using circular convolution:

$x_1$(n) = {1, 2, 3, 4}

and $x_2$ (n) = {1, 2, 1, 2}

L=4, M=4

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

$\therefore, x_1$(n) = {1, 2, 3, 4, 0, 0, 0}

& $x_2$(n) = {1, 2, 1, 2, 0, 0, 0}

For y(0),

enter image description here

$\therefore$, y(0)= …

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