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final2002a

# final2002a - EE 324 Fall 2002 Final a Name Score Problem 1...

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EE 324 Fall 2002 Final a Name:_________________________ Score: Problem # Points Score 1 20 2 20 3 20 4 20 5 20 100 1

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EE 324 Fall 2002 Final a 1. Sampling Theory a) The signal given below is sampled at a rate of 10 kHz. ( 29 ( 29 ( 29 ( 29 sin 7500 3cos 5000 2 t x t t D t π π π = - What is the Nyquist rate for this signal? 4 points Does aliasing occur? 2 points b) Sketch the sampled spectrum ˆ X f ( 29 of the signal X(f) , with the spectrum given below if the signal is sampled at a rate of 300 Hz. (6 points) The signal at 200 Hz is aliased, what frequency will it appear to be at after sampling? 2 points c) Sketch the spectrum of the sampled filtered signal ( 29 f Y ˆ after X(f) from part a is filtered by the anti-aliasing filter H(f) shown below ( Y(f)=X(f) H(f) ). 6 points 2 f 0 200 -200 |X(f)| -150 150 1 f 0 200 -200 |H(f)| -150 150 1
EE 324 Fall 2002 Final a 2. Window Method for FIR Filter Design Design a band-pass filter for an audio equalizer. The sampling frequency is 44.140 KHz. The passband is between 10 -14 kHz. The width of the transition bands is 1 kHz. The stopband attenuation is 51 dB. The passband ripple is 0.05 dB.

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final2002a - EE 324 Fall 2002 Final a Name Score Problem 1...

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