Designed to Recover the Sensor Signal from the Noise - Engineering Assignment Help

Assignment Task:

TASK:

Ouestion 1 (15%)  An acoustic sensor operates in the range of 5 kHz to 25 kHz. Figure 1 shows a band-pass filter that was designed to recover the sensor signal from the noise. The voltage vs represents the noisy signal from the sensor. The filter output vo should be a less noisy signal. It is specified that the band-pass filter shown in the figure passes the signal in the frequency range within 3 dB of the center frequency gain. 1) Determine the transfer function of this filter. 2) Determine the gain, cutoff frequencies, center frequency and bandwidth. 3) Verify your calculations in step 2) using Matlab by Bode Plot. Please include your bode plot and a short paragraph to explain your findings in the submission. 50 pF 2001,<L1 •—/V\A./—• 
Os 
100 Q 

Figure 1 
Helpful Hints • Useful command o tf o bode • You can get help on any function by typing help function _name • Do not forget axis labels and titles on your plots 
 

Question 2 (12%)  
Design a filter that has the transfer function H(s) = 15x106  is+2000Xs+5000) 1) Please detennine the gain, the quality factor and cut-off frequency from the transfer function. 2) Please design the filter with one opamp component only, 3) Please list your components and their values, and justify your design using Matlab Simscape; 
Question 7 (15%)  Four strain gauges are mounted on a cantilever beam in a configuration like that shown in Figure 7. It is used to measure vibrational bending moment that is applied to the beam itself. The specifications of the load cell are given as follows: • Modulus of Elasticity: E = 120 GPa • Beam dimensions (Length x Height (h) x Width (b)): 25cm x 0.75cm x 2.5cm. • Non-deflected resistances of the strain gauges = 30011 • Strain gauge factor = 3 • Wheatstone bridge voltage supply = 6 Volts. 
The bending moment is to be interpreted on a computer via a 12 bit A/D converter with measurement range 0 to 5 Volts. The required resolution is 0.01 Nm/(bit step). Moreover, the bending moment is required to be band pass filtered with a transfer function that has a quality factor of 1.2 and a cut off frequency of 1000 rad/s. Please design an analogue schematic that can be used to achieve all of the aforementioned objectives. In your solution, please: 1. Include the solution (with answer) to how the sensitivity of the Wheatstone bridge output ( is calculated. 2. Include the solution that determines the required total gain of the analogue circuit. 3. Calculate the range of moment (in Nm) that can be measured by the proposed design. 4. A complete schematic of your circuit. If there are multiple major sections in your schematic then the purpose of each one shall be clearly shown either by well-known names or by a clear short description. 5. All passive component values in your circuit shall be designed with appropriate numbers and any associated transfer functions or static gain formulae shall be either derived or referenced. 
 

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