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Unformatted text preview: ECE 301 - Sum 2010 Test 1 with Answers 1 1. An IIR filter, having zero initial conditions, is defined by the following difference equa- tion: y [ m = 1 : 1 y [ m 1 : 7 y [ m 2 5 x [ m . The input is x [ m = 2 [ m 1 [ m 3 . Compute and plot y [ m for 0 m 4. ANS: f y [ m g m = 3 m = = f ; 10 ; 11 ; : 1 ; 7 : 6 g See Detailed Solution to Prob. 1-9 for method. 2. An analog filter, with input voltage x t and output voltage y t , is defined by the ODE d dt y t 5 ; 000 y t = 10 ; 000 x t The Backward Difference method (i.e., backward Eulers method, backward derivative approxi- mation) with T s = 50 sec is used to find the difference equation implementing the digital filter. The difference equation can be written as y [ m = A y [ m 1 B x [ m . Compute A and B . ANS: A = : 8 ; B = : 4 See Detailed Solution to Prob. 2-4 for method....
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- Summer '08
- Signal Processing