= Problem 2. (DFT to analyze LTI systems) Consider the system with impulse response: h = {h[0], h[1], h[2]} = {1,2,3}, g

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Problem 2 Dft To Analyze Lti Systems Consider The System With Impulse Response H H 0 H 1 H 2 1 2 3 G 1 (58.72 KiB) Viewed 41 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 o {-[0], x[1], «[2], x[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 time-domain y[n] via the iDFT (4-point) e. Compute y[n] 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 agree, what would you need to change in your calculations to make them agree?