Exam1_Fall01

Exam1_Fall01 - Texas A&M University Department of...

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1 Texas A&M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls EXAM 1 - October 3, 2001 7 - 9 PM; Room EPB 206 Closed-books and notes. Note: Each Problem is 25 points 1) Obtain the Laplace transform of the following signal . ) ( at te t f = 2) This problem deals with Fourier transforms and signal sampling considerations. (a) Evaluate the Fourier transform of the following continuous signal , ) ( ) ( ax Ae x U x f = for a >0. The function U (x) is defined as follows: < = 0 , 0 0 , 1 ) ( x x x U . (b) Consider the following continuous signal: . ) 2000 cos( 8 ) 1000 cos( 6 ) 500 cos( 3 ) ( t t t t x a π + + = 1. Determine the minimum frequency required for use in sampling the above signal in order to avoid aliasing. 2. If the sampling frequency is chosen as 1000
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Exam1_Fall01 - Texas A&M University Department of...

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