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Preface
Acknowledgements
Contents
1 Mathematical Model of the Time-Varying Wireless Channel
1.1 Multi-Path Model
1.2 Coherence Time and Doppler Spread
1.3 Coherence Frequency and Delay Spread
1.3.1 Observations on Figs.1.10 and 1.11
1.4 Relationship Between the Time-Varying Impulse Response of the Base Band and the Bandpass Transmission
1.5 Discrete Complex Base Band Time Varying Channel Model for Wireless Communication
1.6 Fading Channels
1.6.1 Case Study Using Flat Fading Rayleigh Model
1.6.2 Computation of the Probability of Error of the Flat Fading Rayleigh Channel
1.6.3 Case Study Using Flat Rician Fading Model
1.6.4 Computation of Probability of Error for Flat Rician Fading Channel Model
1.6.5 Base Band Single Tap Channel with Known Estimated Filter Coefficient g
1.7 Multiple Input Multiple Output (MIMO) Channel Model
1.7.1 Demonstration of Spatial Multiplexing Using Decoupling of MIMO System
1.7.2 Water Fill Algorithm to Obtain the Maximum Channel Capacity
2 Detection Theory and Estimation Theory for WirelessCommunication
2.1 Detection Theory for Binary Signal Transmission
2.1.1 Bayes Technique
2.1.2 Mini-Max Technique
2.1.3 Neyman–Pearson Technique
2.1.4 Illustration of the Bayes, Mini-Max and Neyman–Pearson Detector for Discrete Channel
2.1.5 Illustration of the Bayes, Mini-Max and Neyman–Pearson Detector for the Additive Gaussian Noise Channel
2.2 Estimation Theory
2.2.1 Wiener Filter
2.2.1.1 FIR Wiener Filter
2.2.1.2 IIR Wiener Filter
2.2.2 Minimum Mean Square Estimation (MMSE)
2.2.3 Minimum Mean Absolute Estimation (MMAE)
2.2.4 Maximum A Posteriori Probability (MAP)
2.2.5 Log-Likelihood Estimation
2.3 Kalman Filter
3 Modulation Techniques in Wireless Communication
3.1 Autocorrelation and the Spectral Density of the Received Base Band Signal Generated by the Pulse p(t)
3.2 Computation of Spectral Density of the Bandpass Signal
3.3 Pulse Shaping for Discrete Communication
3.4 Bandpass Modulation Techniques
3.4.1 Phase Shift Keying
3.4.2 Illustration of the Coherent Correlation Receiver (PSK)
3.4.3 Frequency Shift Keying
3.4.4 Illustration of the Coherent Correlation Receiver (FSK)
3.4.5 Computation of Probability of Error (FSK)
3.4.6 Computation of the Spectral Density of FSK
3.4.7 Minimum Shift Keying
3.4.8 Computation of the Probability of Error of the MSK Modulation
3.4.9 Computation of Spectral Density of MSK Signal
3.4.10 Quadrature Phase Shift Keying
3.4.11 Computation of the Probability of Error of the QPSK Signal
3.4.12 Computation of Spectral Densityof the QPSK Signal
3.5 Orthogonal Frequency Division Multiplexing (OFDM)
3.5.1 Illustration of OFDM Signal
3.5.2 Cyclic Prefix in OFDM
3.6 Coherent Versus Non-coherent Receiver
3.6.1 Computation of the Probability of Error for the Non-coherent Detection
3.6.2 Non-coherent Detection Using Matched Filter and Envelope Detector
3.7 Code Division Multiple Access
3.8 Diversity Techniques for Receiver
3.8.1 Spatial Diversity
3.8.2 Time Diversity
List of m-Files
Index
E.S.Gopi Digital Signal Processing for Wireless Communication using Matlab
Digital Signal Processing for Wireless Communication using Matlab
E.S. Gopi Digital Signal Processing for Wireless Communication using Matlab 123
E.S. Gopi Department of Electronics and Communications Engineering National Institute of Technology Trichy Tamil Nadu, India ISBN 978-3-319-20650-9 DOI 10.1007/978-3-319-20651-6 ISBN 978-3-319-20651-6 (eBook) Library of Congress Control Number: 2015944983 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www. springer.com)
Dedicated to my wife G. Viji, my son A.G. Vasig and my daughter A.G. Desna
Preface Stochastic digital signal processing involved in wireless communication such as mathematical modelling, detection theory, estimation theory and modulation techniques are discussed in this book. Concepts such as coherent time, coherent frequency, Doppler spread, delay spread, Bayes, mini-max, Neyman-Pearson, MMSE, MMAE, MAP, Wiener filter, Kalman filter, MIMO, OFDM, CDMA, and diversity techniques are illustrated using MATLAB for better understanding. The book is written such that it is suitable for the beginners who are doing basic research in wireless communication. Tamil Nadu, India E.S. Gopi vii
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