ECET-350 MIDTERM EXAM NOVEMBER 2016 SESSION NAME: ______________________________________________ 1. Determine the transfer function of a second-order Chebyshev (.5 dB Ripple) bandpass filter with cutoff frequencies of 1500 Hz and 3000 Hz. 2. Design a filter for your transfer function from question #1 using the Sallen-Key topology. Find all the values of the circuit elements and draw the circuit. 3. Given an analog signal x(t) = 5 cos(7000t) + 2 cos(8000t) + 3 cos(12000t) , for t>=0 sampled at a rate of 9,000 Hz. a) Plot the spectrums for the range from 0 Hz to 25000 Hz. Make sure to label the frequencies. X(f) 10k 20k 25k f(Hz) b) Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4.5 kHz is used to filter the sampled signal. X(f) 10k f(Hz) 20k 25k c) Determine which frequency(ies) will be the aliased one(s). Explain. 4. Assuming that an 10-bit ADC channel accepts analog input ranges from 0 to 10 volts, determine the following: a) Number of quantization levels b) Step size of the quantizer c) Quantization level when the analog voltage is 8.25 volts d) Binary code produced by the ADC e) Quantization error 5. A digital filter can be represented with the following difference equation: y[n] = x[n] - 0.6 x[n-1] - 0.4 y[n-2] a) Determine the impulse response of this filter. b) Determine the step response of this filter. c) Suppose that the input x[n] is: 2 cos ( n ) 4 Determine the first five samples of the output starting at n = 0. 6. Draw the Direct Form I Realization for the system in Question #5. 7. Design an FIR moving average filter that will filter out a 200 Hz frequency if the sampling frequency is 2200 Hz. a) Number of Terms (M): b) Difference Equation