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summer 2004 EE 3120 final exam

summer 2004 EE 3120 final exam - Name EE 3120 Final Exam...

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Name:_____________________________________     EE 3120         Final Exam SSN:_______________________________________ Fall 2004 For the following difference equation: Answer questions 1-4 1. Find the Fourier series for the periodic function shown below.
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2. Sketch the function  0.01 1 ( ) 2 t f t e - = .  What time can we consider to be infinite  for this function? 3. Old magnetic tape recorders can record audio, but there is a “hiss” sound that  can be heard on playback.  Dolby noise reduction (DNR) was added to some  high fidelity cassette tape players that removed the “hiss” without changing  the quality of the sound. 4. Find the largest sampling period of  sin 10 so that the frequency of its sampled  sequence equals the frequency of  sin 10 t .
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5. Consider an LTI discrete-time system.  Suppose the zero-state response  excited by the impulse sequence is: h [ k ] = [ 0.5 1 2 0.5 ] What is the zero-state response excited by the input sequence: f [ k
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