4: Use the circular convolution equation to evaluate the 4-point circular convolution between x[n] = [120...

 

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4: Use the circular convolution equation to evaluate the 4-point circular convolution between x[n] = [120 1] and h[n] = [2211]. Ex. 5: x[n] = [0 010 0], h[n] = [6543 2 1]. Use methods 2_1(2_2, 2_3), 3, and 4 to find and sketch the 5-point circular convolution between the two signals. x[n] = h[n] (1, 0 <n<L - 1 Ex. 6: x[n] = h[n] = 10, otherwise %3D %3D %3D If N = L, find the N DFT of each of the signals and show that SN?, k = 0 10, Otherwise a) Y, [k] = X[k]H[k] ={ and that y [n] =N for 0 sn<L 1. %3D b) Find the linear convolution y,[n] = x[n] h[n] Is y1[n] = y,[n]? Explain your answer. Now set N = 2L, consider sequences x[n] = h[n] to be of length 2L with length L<ns 2L- c) 1 padded with zeros. Find the N-DFT of each of the signals and the N-point circular convolution yaln] = x[n]®h[n] Is ys[n] = yz[n]? Explain your answer. %3D zero-padded x[n] = h[n] 4: Use the circular convolution equation to evaluate the 4-point circular convolution between x[n] = [120 1] and h[n] = [2211]. Ex. 5: x[n] = [0 010 0], h[n] = [6543 2 1]. Use methods 2_1(2_2, 2_3), 3, and 4 to find and sketch the 5-point circular convolution between the two signals. x[n] = h[n] (1, 0 <n<L - 1 Ex. 6: x[n] = h[n] = 10, otherwise %3D %3D %3D If N = L, find the N DFT of each of the signals and show that SN?, k = 0 10, Otherwise a) Y, [k] = X[k]H[k] ={ and that y [n] =N for 0 sn<L 1. %3D b) Find the linear convolution y,[n] = x[n] h[n] Is y1[n] = y,[n]? Explain your answer. Now set N = 2L, consider sequences x[n] = h[n] to be of length 2L with length L<ns 2L- c) 1 padded with zeros. Find the N-DFT of each of the signals and the N-point circular convolution yaln] = x[n]®h[n] Is ys[n] = yz[n]? Explain your answer. %3D zero-padded x[n] = h[n]