# Exercise-5 - -10 watts/Hz. Find the average carrier power...

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THE UNIVERSITY OF WESTERN ONTARIO FACULTY OF ENGINEERING SCIENCE DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING ECE 433b - COMMUNICATION SYSTEMS Exercise # 5 February 20, 2007 Topics covered on February 6, 7, 9, 13, 14, and 16, 2007 Digital Modulation Techniques: Amplitude Shift Keying (ASK), Phase Shift Keying (PSK), Frequency Shift Keying (FSK), Transmitters, Correlator and Matched Filter Receiver Structures. Bit Error Rate Analysis of Binary Digital Communication Receiver. Orthogonal FSK, Optimum FSK (h=0.715) and PSK performances. QPSK- Transmitter and Receiver Structures 1. The complementary error function ) ( x erfc is defined by: dt e x erfc x t - = 2 2 ) ( π Express ( 29 x Q in terms of ( 29 x erfc , where - = x t dt e x Q 2 2 1 ) ( 2. Binary data are transmitted over a microwave link at the rate of 10 6 bits per second and the power spectral density of the noise at the receiver input is 10

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Unformatted text preview: -10 watts/Hz. Find the average carrier power required to maintain an average probability of error P e &lt;10-4 for coherent PSK. 3. Find the probability of bit error for the coherent matched filter detection of the equally likely binary FSK signals: ( 29 ( 29 t t s t t s 2020 cos 5 . ) ( 2000 cos 5 . ) ( 2 1 = = where the two-sided AWGN power spectral density is . 0001 . 2 / = o N Assume that the symbol duration is 0.01seconds. 4. Consider a BPSK system with equally likely waveforms: ( 29 ( 29 t t s t t s o o cos ) ( cos ) ( 2 1-= = At the matched filter detector, the ) ( 1 t s reference is ) cos( + t o , where is the phase error. Calculate the value of the phase error that would increase the probability of bit error from 2.0x10 3-to 2.5x10 3-relative to no phase error for AWGN channel....
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## This note was uploaded on 06/15/2008 for the course COMPUTER S 853 taught by Professor Choi during the Spring '08 term at Seoul National.

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Exercise-5 - -10 watts/Hz. Find the average carrier power...

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