ELE 632 Final: ele632-Final-W12

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If you are in doubt about any question, state your assumptions. Show all calculations and steps taken to arrive at your answers to get full marks. *** tables and formulas are provided in the last page *** 2 (a) (10 marks) compute d[r], the dtfs of x[n] and plot its magnitude and phase spectra for. 0 r < n0 where n0 is the fundamental period of x[n]. What are the frequencies associated with these rs. (b) (10 marks) what is dtfs of the following signal y[n] = cos(0. 45 n) + 3 sin(0. 4 n) 4 (b) (5 marks) plot parallel realization of h[n] using delay blocks, adders, and multipliers. 5 (c) (15 marks) find outputs of this system, y1[n], y2[n] and y3[n], to inputs x1[n] = (0. 2)nu[n], x2[n] = [n 2] 0. 7 [n 3], x3[n] = cos( 6: [20 marks] stable lti system s has two poles at 0. 5ej . Consider the following nite length discrete-time signal y[n]:

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