20092ee132A_1_hwk2_sol

20092ee132A_1_hwk2_sol - EE132A, Spring 2009 Communication...

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Unformatted text preview: EE132A, Spring 2009 Communication Systems Prof. John Villasenor Handout# 7 TA: Pooya Monajemi, Erica Han Homework 2 Solutions 1. (a) To avoid over-modulation, use 1 . (b) The plots of ( ) s t and ( ) v t are shown in Figure 1. Overmodulation occurs in ranges 1 3 2 3 m m f f f / < < / , 4 3 5 3 m m f f f / < < / , and so on for the following periods. Figure 1. v(t) for problem 1(b) (c) For ( ) cos 2 m m m t A f t = , ( ) M f is given by [ ] ( ) ( ) ( ) 2 m m m A M f f f f f = + + Figure 2 shows a plot of ( ) M f . Figure 2. M(f) for problem 1(c) To obtain V ( f ) we split the function from part (b) into two parts: ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 1 1 1 2 3 1 2cos 2 rect * 2 2 sinc 3 3 2 2 sinc 3 3 m c m k m m m k m m k f v t A f t w t t k w t t f k W f f t k f f k t k f = = = = + = = = The second function is:...
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This note was uploaded on 02/05/2012 for the course EE 132B taught by Professor Izhakrubin during the Spring '09 term at UCLA.

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20092ee132A_1_hwk2_sol - EE132A, Spring 2009 Communication...

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