102_1_hw06_sol

102_1_hw06_sol - 1 EE102 Spring 2009-10 Systems and Signals...

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1 EE102 Spring 2009-10 Lee Systems and Signals Homework #6 Solution Due: Tuesday May. 17 5PM 1. Single Sideband (SSB) Communication The double sideband (DSB) systems require a transmission bandwidth that is twice the sig- nal bandwidth. In this question we’ll look at a system where the transmission bandwidth and signal bandwidth are the same. The system is plotted below: × m ( t ) cos ( ! c t ) × cos ( ! c t ) m ( t ) Propagation Transmitter Receiver 2 Ideal Bandpass Ideal Lowpass x ( t ) y ( t ) z ( t ) (a) H ( j ! ) The signal m ( t ) is frst modulated by cos( ω c t ) , and then passed through an ideal bandpass flter. The spectrum oF the input M ( ) and the Frequency response oF the ideal bandpass flter H ( ) are - 2 ! B 2 ! B ! 2 ! B ! c - ! c ! - ! c ! c 2 ! B (b) (c) 1 M ( j ! ) H ( j ! ) The modulated signal is x ( t ) , and the output oF the ideal bandpass is y ( t ) . This signal is transmitted, and processed by a synchronous receiver. Sketch the signal spectrum at (a) the output oF the modulator X ( ) , (b) the output oF the ideal bandpass Y ( ) , and
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2 (c) the output of the demodulator, Z ( ) . Label the bands in Y ( ) , and show where they end up in Z ( ) .
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This note was uploaded on 12/09/2010 for the course EE ee102 taught by Professor Levan during the Spring '09 term at UCLA.

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102_1_hw06_sol - 1 EE102 Spring 2009-10 Systems and Signals...

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