Cover image for Mobile fading channels
Title:
Mobile fading channels
Personal Author:
Publication Information:
New York : John Wiley & Sons, 2002
ISBN:
9780471495499

Available:*

Library
Item Barcode
Call Number
Material Type
Item Category 1
Status
Searching...
30000010046729 TK6570.M6 P384 2002 Open Access Book Book
Searching...

On Order

Summary

Summary

All relevant components of a mobile radio system, from digital modulation techniques over channel coding through to network aspects, are determined by the propagation characteristics of the channel. Therefore, a precise knowledge of mobile radio channels is crucial for the development, evaluation and test of current and future mobile radio communication systems. This volume deals with the modelling, analysis, and simulation of mobile fading channels and provides a fundamental understanding of many issues that are currently being investigated in the area of mobile fading channel modelling. The author strongly emphasises the detailed derivation of the presented channel models and conveys a high degree of mathematical unity to the reader.
* Introduces the fundamentals of stochastic and deterministic channel models
* Features the modelling and simulation of frequency-nonselective fading channels (Rayleigh channels, Rice channels, generalized Rice channels, Nakagami channels, various types of Suzuki channels, classical and modified Loo model)
* Presents the modelling and simulation of frequency-selective fading channels (WSSUS models, DGUS models, channel models according to COST 207)
* Discusses the methods used for the design and realization of efficient channel simulators
* Examines the design, realization, and analysis of fast channel simulators
* Includes MATLABâ programs for the evaluation and simulation of mobile fading channels
MATLABâ is a registered trademark of The MathWorks, Inc.

Telecommunication engineers, computer scientists, and physicists will all find this text both informative and instructive. It is also be an indispensable reference for postgraduate and senior undergraduate students of telecommunication and electrical engineering.


Table of Contents

1 Introductionp. 1
1.1 The Evolution of Mobile Radio Systemsp. 1
1.2 Basic Knowledge of Mobile Radio Channelsp. 3
1.3 Structure of This Bookp. 7
2 Random Variables, Stochastic Processes, and Deterministic Signalsp. 11
2.1 Random Variablesp. 11
2.1.1 Important Probability Density Functionsp. 15
2.1.2 Functions of Random Variablesp. 19
2.2 Stochastic Processesp. 20
2.2.1 Stationary Processesp. 22
2.2.2 Ergodic Processesp. 25
2.2.3 Level-Crossing Rate and Average Duration of Fadesp. 25
2.3 Deterministic Continuous-Time Signalsp. 27
2.4 Deterministic Discrete-Time Signalsp. 29
3 Rayleigh and Rice Processes as Reference Modelsp. 33
3.1 General Description of Rice and Rayleigh Processesp. 34
3.2 Elementary Properties of Rice and Rayleigh Processesp. 35
3.3 Statistical Properties of Rice and Rayleigh Processesp. 39
3.3.1 Probability Density Function of the Amplitude and the Phasep. 39
3.3.2 Level-Crossing Rate and Average Duration of Fadesp. 41
3.3.3 The Statistics of the Fading Intervals of Rayleigh Processesp. 46
4 Introduction to the Theory of Deterministic Processesp. 55
4.1 Principle of Deterministic Channel Modellingp. 56
4.2 Elementary Properties of Deterministic Processesp. 59
4.3 Statistical Properties of Deterministic Processesp. 63
4.3.1 Probability Density Function of the Amplitude and the Phasep. 64
4.3.2 Level-Crossing Rate and Average Duration of Fadesp. 72
4.3.3 Statistics of the Fading Intervals at Low Levelsp. 77
4.3.4 Ergodicity and Criteria for the Performance Evaluationp. 78
5 Methods for the Computation of the Model Parameters of Deterministic Processesp. 81
5.1 Methods for the Computation of the Discrete Doppler Frequencies and Doppler Coefficientsp. 83
5.1.1 Method of Equal Distances (MED)p. 83
5.1.2 Mean-Square-Error Method (MSEM)p. 90
5.1.3 Method of Equal Areas (MEA)p. 95
5.1.4 Monte Carlo Method (MCM)p. 104
5.1.5 L[subscript p]-Norm Method (LPNM)p. 113
5.1.6 Method of Exact Doppler Spread (MEDS)p. 128
5.1.7 Jakes Method (JM)p. 133
5.2 Methods for the Computation of the Doppler Phasesp. 143
5.3 Fading Intervals of Deterministic Rayleigh Processesp. 145
6 Frequency-Nonselective Stochastic and Deterministic Channel Modelsp. 155
6.1 The Extended Suzuki Process of Type Ip. 157
6.1.1 Modelling and Analysis of the Short-Term Fadingp. 157
6.1.1.1 Probability Density Function of the Amplitude and the Phasep. 165
6.1.1.2 Level-Crossing Rate and Average Duration of Fadesp. 166
6.1.2 Modelling and Analysis of the Long-Term Fadingp. 169
6.1.3 The Stochastic Extended Suzuki Process of Type Ip. 172
6.1.4 The Deterministic Extended Suzuki Process of Type Ip. 176
6.1.5 Applications and Simulation Resultsp. 181
6.2 The Extended Suzuki Process of Type IIp. 185
6.2.1 Modelling and Analysis of the Short-Term Fadingp. 186
6.2.1.1 Probability Density Function of the Amplitude and the Phasep. 190
6.2.1.2 Level-Crossing Rate and Average Duration of Fadesp. 193
6.2.2 The Stochastic Extended Suzuki Process of Type IIp. 196
6.2.3 The Deterministic Extended Suzuki Process of Type IIp. 200
6.2.4 Applications and Simulation Resultsp. 205
6.3 The Generalized Rice Processp. 208
6.3.1 The Stochastic Generalized Rice Processp. 209
6.3.2 The Deterministic Generalized Rice Processp. 213
6.3.3 Applications and Simulation Resultsp. 217
6.4 The Modified Loo Modelp. 218
6.4.1 The Stochastic Modified Loo Modelp. 218
6.4.1.1 Autocorrelation Function and Doppler Power Spectral Densityp. 222
6.4.1.2 Probability Density Function of the Amplitude and the Phasep. 225
6.4.1.3 Level-Crossing Rate and Average Duration of Fadesp. 228
6.4.2 The Deterministic Modified Loo Modelp. 230
6.4.3 Applications and Simulation Resultsp. 236
7 Frequency-Selective Stochastic and Deterministic Channel Modelsp. 241
7.1 The Ellipses Model of Parsons and Bajwap. 244
7.2 System Theoretical Description of Frequency-Selective Channelsp. 245
7.3 Frequency-Selective Stochastic Channel Modelsp. 250
7.3.1 Correlation Functionsp. 250
7.3.2 The WSSUS Model According to Bellop. 251
7.3.2.1 WSS Modelsp. 251
7.3.2.2 US Modelsp. 253
7.3.2.3 WSSUS Modelsp. 253
7.3.3 The Channel Models According to COST 207p. 259
7.4 Frequency-Selective Deterministic Channel Modelsp. 267
7.4.1 System Functions of Frequency-Selective Deterministic Channel Modelsp. 267
7.4.2 Correlation Functions and Power Spectral Densities of DGUS Modelsp. 272
7.4.3 Delay Power Spectral Density, Doppler Power Spectral Density, and Characteristic Quantities of DGUS Modelsp. 276
7.4.4 Determination of the Model Parameters of DGUS Modelsp. 281
7.4.4.1 Determination of the discrete propagation delays and delay coefficientsp. 281
7.4.4.2 Determination of the discrete Doppler frequencies and Doppler coefficientsp. 283
7.4.4.3 Determination of the Doppler phasesp. 284
7.4.5 Deterministic Simulation Models for the Channel Models According to COST 207p. 284
8 Fast Channel Simulatorsp. 289
8.1 Discrete Deterministic Processesp. 290
8.2 Realization of Discrete Deterministic Processesp. 292
8.2.1 Tables Systemp. 292
8.2.2 Matrix Systemp. 295
8.2.3 Shift Register Systemp. 297
8.3 Properties of Discrete Deterministic Processesp. 297
8.3.1 Elementary Properties of Discrete Deterministic Processesp. 298
8.3.2 Statistical Properties of Discrete Deterministic Processesp. 305
8.3.2.1 Probability Density Function and Cumulative Distribution Function of the Amplitude and the Phasep. 306
8.3.2.2 Level-Crossing Rate and Average Duration of Fadesp. 313
8.4 Realization Expenditure and Simulation Speedp. 315
8.5 Comparison with the Filter Methodp. 317
Appendix A Derivation of the Jakes Power Spectral Density and the Corresponding Autocorrelation Functionp. 321
Appendix B Derivation of the Level-Crossing Rate of Rice Processes with Different Spectral Shapes of the Underlying Gaussian Random Processesp. 325
Appendix C Derivation of the Exact Solution of the Level-Crossing Rate and the Average Duration of Fades of Deterministic Rice Processesp. 329
Appendix D Analysis of the Relative Model Error by Using the Monte Carlo Method in Connection with the Jakes Power Spectral Densityp. 341
Appendix E Specification of Further L-Path Channel Models According to Cost 207p. 343
Matlab-Programsp. 347
Abbreviationsp. 377
Symbolsp. 379
Bibliographyp. 391
Indexp. 409