Question: solve the following question given in the image 5. A continuous-time signal Xa (t) = cos(2aft) was uniformly sampled with a sampling interval T =

solve the following question given in the image

5. A continuous-time signal Xa (t) = cos(2aft) was uniformly sampled with a sampling interval T = 1 10000 to produce the discrete-time signal x[n] = cos (a) Find two different values of f that will produce the same signal x[n]. (b) Assume that f = 5000Hz and T = 1 20000 S. Assume that N = 512 samples of the signal are collected and the DFT, X k_ is computed. Which sample(s) of X[k] will have the highest amplitude. (c) True or False: If instead an N = 1024-point DFT of the signal in part (b) is computed then the DFT will have exactly two non-zero values. Justify your

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