Performance Optimization of Digital Communications Systems

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ISBN: 9780849368967 | 0849368960
Cover: Hardcover
Copyright: 3/21/2006

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Because fine-tuning the parameters of a system is critical to a developer's success, Performance Optimization of Digital Communications Systems examines particular optimization problems in digital communications, presenting analytical techniques in combination with SystemView and MATLAB® simulations. Consisting of ten chapters, this monograph presents a unique method for determining the quality of a communications channel - a great advantage to any company that uses this method. The book presents a method for the transmission of proprietary data. It also describes the means to reduce the peak-to-average power ratio and introduces optimal phase shifters for multicarrier communication systems.

Introduction	p. 1
About This Book	p. 1
Acknowledgments	p. 3
References	p. 4
Method for Determining the Quality of a Communication Channel	p. 5
Background	p. 5
Main Idea Illustrated and a Minimization Principle	p. 6
Phase-Spanning Nyquist Set Test	p. 7
Frequency-Spanning Nyquist Set Test	p. 13
Determining the Noise Level in a Nonbaseband System	p. 14
Measuring the Level of a Useful Signal	p. 21
Conclusions	p. 22
References	p. 23
Digital Communications in Stealth Mode	p. 25
Background	p. 25
Stealth Communications Transceiver	p. 26
Test on Randomness	p. 31
BER Performance	p. 34
Using a Decoy Signal	p. 37
Conclusions	p. 41
References	p. 41
Pulse Shape Optimization	p. 43
Background	p. 43
Pulse Shape Optimization Criterion	p. 44
SO-Pulse and L-Pulse	p. 48
Phi-Pulse	p. 52
BER Test	p. 58
Approximation of Pulses by SAS	p. 60
Data Windows Corresponding to the Pulses Introduced	p. 66
Raised Pulses	p. 70
Conclusions	p. 72
References	p. 73
Optimal Phase Shifters for Peak-to-Average Power Ratio Reduction in Multicarrier Communication Systems	p. 75
Background	p. 75
Optimal Phase Shifters and the Constant Envelope Principle	p. 76
Flat Spectrum Chirps	p. 81
Simulations of Multicarrier Transmission	p. 87
Possible Applications of FSC	p. 97
Conclusions	p. 97
References	p. 99
Optimization of the Automatic Repeat Request Parameters in Quadrature Amplitude Modulation Channels	p. 101
Background	p. 101
Derivation of the BER of a QAM Channel with FEC and ARQ	p. 102
ARQ Performance Gain	p. 107
A Method of Estimating the ARQ Gain	p. 109
A Procedure for Determining the Optimum ARQ Parameters	p. 112
Extension of the Method for the Case of a Slowly Fading Channel	p. 117
Determining the Average Number of Transmissions and the Uncoded SER, Given the SER Past FEC/ARQ	p. 118
Determining an Average Fraction of Erroneous Bits in an Erroneous QAM Symbol	p. 120
Conclusions	p. 121
References	p. 122
Optimal Selection of Error Correction and Retransmission Parameters in Multichannel Communications Systems	p. 125
Background	p. 125
Performance Gain Due to FEC/ARQ in Discrete Multitone Systems	p. 126
Mean-Field Approximation for Multicarrier Channel with ARQ	p. 128
An Approximate Solution of Equation 7.2.2	p. 132
Optimization of FEC and ARQ Parameters for Current ADSL Standards	p. 134
Conclusions	p. 135
References	p. 138
Bit Error Rate of Self-Similar Constellations in ADSL Systems	p. 139
Background	p. 139
Self-Similarity of ADSL QAM Constellations	p. 139
Error Probability Function of an ADSL QAM Constellation Encoder	p. 143
Nonsquare Constellations: An Asymptotic Analysis	p. 145
Comparison with Numerical Simulations	p. 148
Conclusions	p. 150
References	p. 150
Throughput Optimization in a General Duplex Communications System with FEC and ARQ	p. 151
Background	p. 151
A System Model with FEC and ARQ	p. 152
Joint Optimization of FEC and ARQ Parameters in Both Directions	p. 154
Conclusions	p. 159
References	p. 160
A Quantitative Procedure of Optimizing the MAC Packet Size in TCP/IP-Compliant Networks	p. 161
Background	p. 161
Statement of the Problem of Optimizing the MAC Packet Size in TCP/IP-Compliant Networks	p. 162
Derivation of Equation 10.2.6	p. 166
Determining the Optimal MAC Packet Size in the Case of a Variable MAC Frame Length	p. 168
Solution to the Problem and Decision Diagrams	p. 170
Extension of the Method in the Case of a Fixed MAC Frame Length	p. 175
Extension of the Method to Account for Error Detection and Retransmission in the TCP/IP Protocol	p. 178
Application to 802.11-Compliant Networks	p. 179
Conclusions	p. 182
References	p. 184
Appendices
Optimization Puzzles	p. 185
Matlab Scripts for the Bandwidth Optimization Problem	p. 191
More about Flat Spectrum Chirps	p. 197
Index	p. 199
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