20092ee132A_1_hwk4_sol

20092ee132A_1_hwk4_sol - EE132A, Spring 2009 Communication...

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Unformatted text preview: EE132A, Spring 2009 Communication Systems Prof. John Villasenor Handout #11 TA: Pooya Monajemi and Erica Han Homework 4 Solutions 1. The autocorrelation function is the inverse Fourier transform of the power spectral density. Then 1 1 2 1 ( ) { ( )} { (2 )} sinc 2 2 t p F P f F fT T T = = = where 2 1 2 2 t T t T t T otherwise | | ,| |< = , 2. The bandwidth required for transmission of the raised cosine pulse is give by (1 ) BW W = + where W is the bandwidth of the Nyquist channel and is the roll off factor. (a) The bandwidth of the Nyquist channel is 1 32 2 2 b b R W KHz T = = = where b T is the bit duration and b R is the bitrate. (b) The bandwidth of the Nyquist channel is now 1 1 8 2 2 2 4 s s b R W KHz T T = = = = where s T is the duration of each 16-level PAM symbol which is the duration of 4 bits....
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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_hwk4_sol - EE132A, Spring 2009 Communication...

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