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20072ee132A_1_hwk4_sol

20072ee132A_1_hwk4_sol - EE132A Spring 2007 Communication...

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Unformatted text preview: EE132A, Spring 2007 Communication Systems Prof. John Villasenor Handout #11 TA: Choo Chin (Jeffrey) Tan 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 τ-- = = = Λ where 2 1 2 2 t T t T t T otherwise | | - ,| |< Λ = , 2. The bandwidth required for transmission of the raised cosine pulse is give by (1 ) BW W α = + where W is the bandwidth of the Nyquist channel and α 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. The following table shows the bandwidth in KHz required for transmission in both cases....
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20072ee132A_1_hwk4_sol - EE132A Spring 2007 Communication...

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