exam3_practice_problems

# exam3_practice_problems - University of Texas at Austin...

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University of Texas at Austin Biomedical Engineering Department BME 343, BME Signal and Systems Analysis Exam 3 Practice Problems 1. Determine the Fourier transform of each of the functions shown below. For each function, your answer should be a single expression. You do not need to include a graph of your answers. (a) 1 t 2 -2 1 -1 0 (b) 0 π /2 sin(t) t 1

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x ( t ) = 4sinc 2 (10 πt ) + 2 cos(40 πt ) is to be sampled and recorded in a computer. Determine the minimum sampling frequency, f s in Hz, that must be used and plot the frequency spectrum of the signal sampled at f s . 3. In the system depicted below, x ( t ) = sin4 πt πt , p ( t ) = cos 2 πt , q ( t ) = sin2 πt πt . x x ( t ) p ( t ) H ( ω ) x b ( t ) q ( t ) y ( t ) a ( t ) In addition, the response of the system H ( ω ) is given by the following: 1 H ( ω ) ω 2 π -2 π (a) Let A ( ω ) be the the Fourier transform of the signal a ( t ). Sketch and clearly label A ( ω ). 2
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## This note was uploaded on 12/14/2011 for the course BME 343 taught by Professor Emelianov during the Spring '09 term at University of Texas.

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exam3_practice_problems - University of Texas at Austin...

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