Consider the system shown in the figure with the input signal x (t) = 2 cos(100t) and the filterH (ela) with a cutoff frequency . [20 points] Design the system

by selecting values for the sampling frequency ws, the cutofffrequency Nc, and the final filter cutoff frequency W1. Explain and justify in details allsteps and assumptions considered for your selection. ] Find and plot the output signalY, (jw)d,