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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Fall 2008 Problem Set #3 Assigned: 02-Sep-08 Due Date: Week of 08-Sep-08 Reading: In Signal Processing First , Chapter 3 on Spectrum . Please check t-square.gatech.edu often. All official course announcements are posted there. ALL of the STARRED problems should be turned in for grading. A solution will be posted to the web. Some problems have solutions similar to those found on the CD-ROM. Your homework is due in recitation at the beginning of class. After the beginning of your assigned recitation time, the homework is considered late and will be given a zero. Please follow the format guidelines (cover page, etc.) for homework. PROBLEM 3.1 *: A real-valued signal x ( t ) has the following two-sided spectrum:-- 8 - 3 3 8 4 e j/ 4 3 e- j/ 3 6 3 e j/ 3 4 e- j/ 4 (a) Write an equation for x ( t ) as a sum of cosines. (b) Plot the spectrum of the signal y ( t ) = x ( t- . 5). (c) Plot the spectrum of the signal z ( t ) = x ( t ) + 2cos(8 t + 0 . 2 )....
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