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a) Convert the analog voltage Y(t) = 3 sin(2πt) mV into a discrete time signal and show your answer in time domain graph. Propose the optimum sampling rate and block size setting for the given input signal and present your answer in time domain graph. [10 Marks] [CO2, PO2, C5] b) Figure 3 shows the filter response of the Butterworth low pass filter at different filter order. The cut-off frequency is set at 50Hz. i. If the E(t) signal was filtered using filter order 2, 4, 6 and 8, sketch the output in frequency domain. ii. [16 Marks] [CO2, PO2, CO4] Suggest the minimum filter order to completely suppress the highest frequency component in E(t) signal and give your justification. 1.1 1.06 1 0.96 0.9 0.85 08 0.76 80.7 0.66 0.6 0.56 0.5 Amplitude Ratio 0.4 0.36 0.3 0.25 02 0.15 0.1 0.06 0 E(t)-12 sin (70xt) + 3 sin (120xt) + 7 sin (140mt) 0 Filter Order 6 Filter Order 8- Filter Order2 Filter Order 4 [4 Marks] [CO2, PO2, CO4] 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 Frequency [Hz]