Consider the following discrete-time signal 1 where f = 1 and f 128 where fe =...

Transcribed Image Text:

Consider the following discrete-time signal 1 where f₁ = 1 and f₂ 128 where fe = 50 128 (c) = x[n] = cos(2πf₁n) + cos(2лf₂n) modulates the amplitude-modulated carrier signal 5 128 xe[n] = cos(2nfcn) The resulting amplitude modulated signal is Xam[n] = x[n]x[n] (a) Using MATLAB, plot the signals x[n], xe[n] and xam [n], for 0 ≤ n ≤ 511 (b) Compute and plot the 128-point DFT of the signal xam [n] for 0 ≤ n ≤ 127 Compute and plot the 128-point DFT of the signal xam [n] for 0 ≤ n ≤ 99 (5 marks) (5 marks) (5 marks) (d) Compute and plot the 1028-point DFT of the signal xam [n] for 0 ≤ n ≤ 1023. Comment on your results viz Parts (b) and (c). (10 marks) Consider the following discrete-time signal 1 where f₁ = 1 and f₂ 128 where fe = 50 128 (c) = x[n] = cos(2πf₁n) + cos(2лf₂n) modulates the amplitude-modulated carrier signal 5 128 xe[n] = cos(2nfcn) The resulting amplitude modulated signal is Xam[n] = x[n]x[n] (a) Using MATLAB, plot the signals x[n], xe[n] and xam [n], for 0 ≤ n ≤ 511 (b) Compute and plot the 128-point DFT of the signal xam [n] for 0 ≤ n ≤ 127 Compute and plot the 128-point DFT of the signal xam [n] for 0 ≤ n ≤ 99 (5 marks) (5 marks) (5 marks) (d) Compute and plot the 1028-point DFT of the signal xam [n] for 0 ≤ n ≤ 1023. Comment on your results viz Parts (b) and (c). (10 marks)

Answer rating: 100% (QA)

To generate the signals and perform the required computations and plots we can use MATLAB Heres ... View the full answer