In this lab, students are tasked with developing a real time control system for a precision mechatronic system, such as a robotic arm or industrial machine, operating in a highnoise environment. The system relies on accurate sensor feedback for control and stability, but significant challenges are present:High Electromagnetic Interference $($EMI$)$: The system is affected by $50$Hz noise from nearby power lines and machinery.Random High$-$Frequency Noise: The industrial environment introduces additional highfrequency noise.Students are required to design a signal amplification and filtering system to ensure reliableand clean sensor signals for feedback control. A sensor relevant to the system $($e$.$g$.$position,speed, force, or vibration sensors$)$ must be selected, and methods for minimising noise inthe signal must be addressed. In this lab, students are required to:a$)$Select a relevant sensor$,$design and simulate a band$-$pass filter and amplifier inSIMULINK, and connect a random noise block to the sensor to simulate real$-$worldinterference, and provide a mathematical description of amplifier and filteroperation.b$)$Configure the sensor circuit for optimal noise reduction using a Wheatstone bridgeand explain how the configuration minimises noise.c$)$Simulate the complete system, including the filter, amplifier, sensor connection, and noise block, and analyse the systems performance before and after the filtration and amplification.d$)$Select a sensor relevant to the mechatronic system and provide a mathematicalexplanation of its operation, including governing equations, transfer function, andsignal characteristics. Justify the sensor selection and its connection in the circuit foroptimal noise reduction, based on the control system's requirements and include the sensor$\text{'}$s frequency response and dynamic behaviour.e$)$Design a band$-$pass filter using resistors, capacitors, and inductors in SIMULINK toallow relevant signal frequencies to pass while filtering out random noise, EMI and high$-$frequency noise. Provide a mathematical explanation for the filter design,including the calculation of cutoff frequencies and amplification gain, and justify thechoice of component values. Simulate the filter in SIMULINK and analyse the results.f$)$ Design a signal amplifier using an operational amplifier $($op$-$amp$)$ in SIMULINK toamplify the filtered signal, ensuring that the gain is sufficient to boost the signalwithout distortion. Simulate the amplified signal's behaviour in the high$-$EMI and random noise environment and analyse the results.g$)$Analyse the performance of your circuit by comparing the noisy input with the clean,amplified output using time domain and frequency$-$domain plots.

Please provide screenshots from SIMULINK