- Problem 2 Dft To Analyze Lti Systems Consider The System With Impulse Response H H 0 H 1 H 2 1 2 3 Give 1 (34.35 KiB) Viewed 17 times
Problem 2. (DFT to analyze LTI systems) Consider the system with impulse response: h = {h[0],h[1], h[2]} - {1,2,3}, given an input :- {z[0), 2(1), 2:[2], 2[3]} = {1,2,2,1} a. Compute the system's frequency response using a 4-point DFT b. Compute the 4-point DFT of the system input x[n] (i.c. X[k]) c. Compute the output in the frequency domain Y [k] d. Compute the output in the timo-domain y[n] via the DFT (4-point) e. Compute yſn using time-domain convolution f. compare your answers achieved via frequency-domain and time-domain computations. Do they agree? Why or why not? If they do not agrec, what would you need to change in your calculations to make them agree?