Question

2. 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.

          2. 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.

2. 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.

Added by Gonzalo T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/21/2023

Step 1

xnxn (1) take the circumferential convolution length N=5: To calculate the circular convolution of xn with itself using length N=5, we need to first extend xn by adding zeros to make it of length N. So, we get: xn = {1, 2, 3, 4} xn_extended = {1, 2, 3, 4, Show more…

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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.