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Unformatted text preview: Systems and Signals Lee, Fall 201112 EE102 Midterm Exam 2 NAME: ID: You have 2 hours for 4 questions. • Show enough (neat) work in the clear spaces on this exam to convince us that you derived, not guessed, your answers. • Put your final answers in the boxes at the bottom of the page. Closed notes, closed book, 1 letter sized sheet allowed. Problem Score 1 2 3 4 Total 1 Problem 1. (25 Points) Please use scaled and shifted Δ( t ) and rect ( t ) to express the following signal. (10 pts) Please also show what is the Fourier transform for this signal?(15 pts) 1 2 3123 1 2 x(t) Solution: The original signal can be decomposed into three signals: 1 2 3123 1 2 x ( t ) = 2Δ 1 2 ( t 1)) + 2Δ( 1 2 ( t + 1)) rect ( 1 2 t ) (10 pts) By using the properties of Fourier transform, X ( jω ) = ( e jω + e jω )( 2 sin 2 ω ω 2 ) sinω ω 2 Problem 2. (25 Points) Find out the Fourier transform of the following signals....
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 Fall '08
 Levan

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