Problem 5: Draw a Bode diagram of the open-loop transfer function G(s) of the closed-loop system...

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Problem 5: Draw a Bode diagram of the open-loop transfer function G(s) of the closed-loop system shown in Figure 7-71. Determine the gain margin, phase margin, phase-crossover frequency, and gain- crossover frequency with MATLAB. 20(s+1) s(s + 5)(s + 2s+ 10) G(s) The bandwidth of a clinical ECG system in intensive care units is up to 600 Hz. You are asked to design a system to sample, quantize, and binary code the ECG signal and transfer it to a host computer. The ECG signal has amplitude between 0 to 600 mV. A-(5 points) What will be the sampling frequency you will select for this digitizer B-(5points) If the final digitized code is a binary of 5 digits (bits), how many quantization levels you have? What is the maximum quantization error of this system? C- (5 points) What is the required bit rate to transfer the data to the host computer? D-(10 points) If your transfer bit rate is limited to 5 kb/s, what would you change in you're A/D to comply with it? Completely explain your choices. E- (5 points) The recorded ECG signal is shown on the computer and we observe a large noise on it. The noise is appear as much lower frequency as the actual ECG signal an when we look into Fourier transform of the recorded signal it appears as a large peak at 60 Hz. Can you speculate what is the source of this noise? Also, how you can remove this noise from your measurements? F- (10 points) Before quantization, the ECG signal is amplified with an amplifier. What is the amplifier gain if you would like to avoid the quantization error to exceed 80 mV? Problem 5: Draw a Bode diagram of the open-loop transfer function G(s) of the closed-loop system shown in Figure 7-71. Determine the gain margin, phase margin, phase-crossover frequency, and gain- crossover frequency with MATLAB. 20(s+1) s(s + 5)(s + 2s+ 10) G(s) The bandwidth of a clinical ECG system in intensive care units is up to 600 Hz. You are asked to design a system to sample, quantize, and binary code the ECG signal and transfer it to a host computer. The ECG signal has amplitude between 0 to 600 mV. A-(5 points) What will be the sampling frequency you will select for this digitizer B-(5points) If the final digitized code is a binary of 5 digits (bits), how many quantization levels you have? What is the maximum quantization error of this system? C- (5 points) What is the required bit rate to transfer the data to the host computer? D-(10 points) If your transfer bit rate is limited to 5 kb/s, what would you change in you're A/D to comply with it? Completely explain your choices. E- (5 points) The recorded ECG signal is shown on the computer and we observe a large noise on it. The noise is appear as much lower frequency as the actual ECG signal an when we look into Fourier transform of the recorded signal it appears as a large peak at 60 Hz. Can you speculate what is the source of this noise? Also, how you can remove this noise from your measurements? F- (10 points) Before quantization, the ECG signal is amplified with an amplifier. What is the amplifier gain if you would like to avoid the quantization error to exceed 80 mV?