20072ee132A_1_hwk6-sol

20072ee132A_1_hwk6-sol - EE132A, Spring 2007 Communication...

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Unformatted text preview: EE132A, Spring 2007 Communication Systems Prof. John Villasenor Handout# 19 TA: Choo Chin (Jeffrey) Tan Homework 6 Solutions 1. (a) The time domain expression for the signal space is given by: 2 ( ) cos 2 ( 1) 1 8 4 i c E s t f t i t T i T = +- , , = , , m Or equivalently, 2 ( ) cos ( 1) cos2 sin ( 1) sin 2 4 4 1 8 i c c E s t i f t i f t T t T i =--- , , = , , m (b) Considering the nearest neighbors only, the distance between any two adjacent symbols is given by 2 sin 8 d E = as shown in Figure 1. Figure 1. Distance between symbols for 8-PSK signal constellation Then the probability of symbol error is erfc 2 erfc sin 8 2 2 sin 8 E d P N E N E Q N = = For 8-PSK constellations, each symbol consists of 3 bits. Then, For 8-PSK constellations, each symbol consists of 3 bits....
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This note was uploaded on 11/07/2009 for the course EE 132A taught by Professor Walker during the Spring '08 term at UCLA.

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20072ee132A_1_hwk6-sol - EE132A, Spring 2007 Communication...

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