Perform the circular convolution of the following sequences, $x_1(n)=\{1,1,2,1\}$ and $x_2(n)=\{1,2,3,4\}$ using DFT and IDFT method.

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written 17 months ago by

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written 17 months ago by

Solution:

Given: the circular convolution of the following sequences,

$ x_1(n)=\{1,1,2,1\} \text { and } x_2(n)=\{1,2,3,4\}\\ $

To find DFT of x1(k):

$ X_I(k)=\left[\begin{array}{cccc} 1 & 1 & 1 & 1 \\ 1 & -j & -1 & j \\ 1 & -1 & 1 & -1 \\ 1 & …

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