a. Develop a digital filter that mimics the action of the

Chapter 6, Problem P6.102

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a. Develop a digital filter that mimics the action of the RL filter shown in Figure P6.102. Determine expressions for the coefficients in terms of the time constant and sampling intervalT. (Hint: If your circuit equation contains an integral, differentiate with respect to time to obtain a pure differential equation.) b. Given R = 10 and L = 200 mH, sketch the step response of the circuit to scale. c. UseMATLAB to determine and plot the step response of the digital filter for several time constants. Use the time constant of part (b) and fs = 500 Hz. Compare the results of parts (b) and (c). x(t) y(t) + + L R Figure P6.102

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