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Unformatted text preview: ECE220 Signals and Information Spring 2008 Homework 1: Due Thursday, Feb 11, 10:08am Drop your homework in the collection box marked ”ECE220 Spring 2008, homework” , located on the second floor of Phillips at the south entrance to 219 Phillips. Print your name, NetId, and lab section in the top right corner on all pages. NOTE: This homework is based on lectures 4-7 and Chapters 3,4 and 5 in the textbook. Problem 2 Let x 1 ( t ) = cos(60 πt ) and x 2 ( t ) = cos(600 πt ). Consider the AM signal x ( t ) = (3 + 4 x 1 ( t )) · x 2 ( t ) 1. Sketch, in the same reference scale, the signals x 1 ( t ), x 2 ( t ) and x ( t ) (by hand or in Matlab), and write down their frequencies. 2. Write down the Fourier series ∑ ∞ k =-∞ a k e j2 πf k t for x ( t ). You need to indicate the fun- damental frequency f 1 , all nonzero coefficients of the series and corresponding to them harmonics f k (it is not necessary to evaluate any integrals here)....
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This note was uploaded on 06/25/2008 for the course ECE 2200 taught by Professor Johnson during the Spring '05 term at Cornell.
- Spring '05