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test2 - ECE 421 Sum 2010 Test 2 with Answers 1 1 Let x m...

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Unformatted text preview: ECE 421 - Sum 2010 Test 2 with Answers 1 1. Let x [ m ℄ be the input to a digital filter, y [ m ℄ be the output, and let the sampling frequency be f s = 50 KHz. Let the filter be defined by the difference equation y [ m ℄= x [ m ℄ x [ m 6 ℄ . Plot j H f j for this filter over the range 0 f 25 ; 000 Hz. For full credit, make sure you include the following: (a) Accurately label the analog frequencies for which j H f j has maxima and minima. (b) Accurately compute the magnitude of j H f j at these maxima and minima. ANS: f = ; 8333 ; 16 ; 667 ; 25 ; 000 Hz are removed. The max of j H f j is 2. See Prob. 6-3 for solution method. 2. Let sampling frequency f s = 100 ; 000 samples/sec. It is desired to design a digital filter (differ- ence equation) which has the following properties: (a) H f = = H f = 50 ; 000 = 0 . (b) The filter has highest magnitude frequency response at f = ¦ 10 ; 000 Hz. (c) The pole radius for all poles is 0.9. The filter which meets these specifications has the formfor all poles is 0....
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