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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 ( 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 ) = 2( 1 2 ( t 1)) + 2( 1 2 ( t + 1)) rect ( 1 2 t ) (10 pts) By using the properties of Fourier transform, X ( j ) = ( e j + e j )( 4 sin 2 2 ) 2 sin 2 Problem 2. (25 Points) Find out the Fourier transform of the following signals....
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This note was uploaded on 01/30/2012 for the course ELEC ENGR 102 taught by Professor Jinhyunglee during the Fall '11 term at UCLA.
 Fall '11
 JinHyungLee

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