Find the circular convolution of two sequences x[n] = [4, 3, 2, 4] and h[n] = [4, -2, 3, 2] using the DFT transformation method. (Use the matrix method to find DFT and IDFT)
Added by Eduardo G.
Step 1
To find the DFT of x[n] and h[n], we will use the matrix method. First, let's create the DFT matrix W of size 4x4, where W[i][j] = exp(-2 * pi * i * j * 1j / 4) for i, j in [0, 1, 2, 3]. W = [[ 1 1 1 1 ] [ 1 -j -1 j ] [ 1 -1 1 Show more…
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Madhur L.
The known sequence x(n)={1, 2, 3, 4}, n=0:3, completes the following calculations: (1) x(n) ⊗ x(n) [take the circumferential convolution length N=5] (2) x(n) ⊗ x(n) [take the circumferential convolution length N=7] (3) x(n) * x(n) (4) Write the step of calculating the circular convolution using the DFT method.
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