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(3) Consider the following continuous-time signal 1(t) = fal(t) + Bia2(t) + 123(t), please turn the page over 2 2 where Tal(t) 142(t) 2 sin(2n fit) + cos(2 f2t), 4 sin(2f3t) cos(2xfat), 123(t) 5 cos(2 fot) cos(27 fet), f1 = 1 kHz, f2 = 13.5 kHz, f3 = 7.5 kHz, f1 = 10 kHz, fs = 2.5 kHz, and fo = 10 kHz. It is required to design a digital signal processing-based system to separated the two signals Ta2(t) and 193(t), where the system have one input and 2 outputs. (a) Draw the line spectrum of the signals using different colors to distinguish them from each others. (b) Determine the minimum number of filters and types needed to achieve the above goal. (c) Find the minimum required sampling rate fsamp. Hence, sketch the overall block diagram of the system.