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Title Page
Copyright
Contents
List of Figures
List of Tables
Preface
1 Introduction
2 Models and Preliminaries
3 Single-Cell Systems
4 Multi-Cell Systems
5 Power Control Principles
6 Case Studies
7 The Massive MIMO Propagation Channel
8 Final Notes and Future Directions
Appendix A: Circularly Symmetric Complex Gaussian Random Vectors
Appendix B: Useful Random Matrix Results
Appendix C: Capacity and Capacity Bounding Tools
Appendix D: Alternative Single-Cell Capacity Bounds
Appendix E: Asymptotic SINR in Multi-Cell Systems
Appendix F: Link Budget Calculations
Appendix G: Uniformly Distributed Points in a Hexagon
Appendix H: Summary of Abbreviations and Notation
References
Index
Fundamentals of Massive MIMO Written by pioneers of the concept, this is the first complete guide to the physical and engineering principles of Massive MIMO. Assuming only a basic background in communications and statistical signal processing, it will guide readers through key topics in multi-cell systems such as propagation modeling, multiplexing and de-multiplexing, channel estimation, power control, and performance evaluation. The authors’ unique capacity-bounding approach will enable readers to carry out effective system performance analyses and develop advanced Massive MIMO techniques and algorithms. Numerous case studies, as well as problem sets and solutions accompanying the book online, will help readers put knowledge into practice and acquire the skill set needed to design and analyze complex wireless communication systems. Whether you are a graduate student, researcher, or industry professional working in the field of wireless communications, this will be an indispensable guide for years to come. Thomas L. Marzetta is the originator of Massive MIMO. He is a Bell Labs Fellow at Nokia and a Fellow of the IEEE, and previously worked at Schlumberger-Doll Research and Nichols Research Corporation. He has received numerous recognitions and awards, including the IEEE W. R. G. Baker Award (2015), the IEEE Communications Society Stephen O. Rice Prize (2015), and the IEEE Guglielmo Marconi Prize Paper Award (2013). He is the recipient of an Honorary Doctorate from Linköping University. Erik G. Larsson is a Professor at Linköping University in Sweden and a Fellow of the IEEE. He is the co-author of 120 journal papers and the textbook Space-Time Block Coding for Wireless Communications (Cambridge, 2003). He currently serves as Chair of the IEEE SPS Technical Committee for Signal Processing for Communications and Networking (2015–2016). In both 2012 and 2014, he received the IEEE Signal Processing Magazine Best Column Award, and in 2015 he was awarded the IEEE Communications Society Stephen O. Rice Prize. Hong Yang is a member of technical staff at Nokia Bell Labs’ Mathematics of Networks and Communications Research Department, where he conducts research into wireless communications networks. He has over fifteen years of industrial research and develop- ment experience, and has previously worked in both the Department of Radio Frequency Technology Systems Engineering and the Wireless Design Center at Alcatel-Lucent. Hien Quoc Ngo is a researcher at Linköping University, Sweden. In 2015, he received the IEEE Communications Society Stephen O. Rice Prize and the IEEE Sweden VT-COM- IT Joint Chapter Best Student Journal Paper Award. He was also an IEEE Communica- tions Letters exemplary reviewer in 2014 and an IEEE Transactions on Communications exemplary reviewer in 2015.
“Massive MIMO has over the past few years become one of the hottest research topics in wireless, and will be a key component of 5G. This book is written by pioneers of the area in a systematic and lucid way, and works out the fundamentals without getting lost in the details. I highly recommend it to anybody working in this field.” Andreas Molisch, University of Southern California “Bright and profound, this book provides the fundamentals to understand the unique capabilities of Massive MIMO and illustrates the benefits for specific use cases. The authors are scientific pioneers and masters in explaining and sharing their proficiency in this book: it is an intellectual treat for everyone fascinated by Massive MIMO technology!” Liesbet Van der Perre, KU Leuven “A very timely text by some of the ‘founding fathers’ of massive MIMO. This is a great book for the beginner, with its simple but enlightening examples, as well as a great reference text for the more experienced engineer. The book is concise and to the point, and the summary and key points at the end of each chapter make it easy to focus your reading. Highly recommended for those that want to get an in-depth understanding of massive MIMO without spending months doing so.” Lee Swindlehurst, University of California, Irvine
Fundamentals of Massive MIMO Thomas L. Marzetta Bell Labs, Nokia Erik G. Larsson Linköping University, Sweden Hong Yang Bell Labs, Nokia Hien Quoc Ngo Linköping University, Sweden
University Printing House, Cambridge CB2 8BS, United Kingdom Cambridge University Press is part of the University of Cambridge. It furthers the University’s mission by disseminating knowledge in the pursuit of education, learning, and research at the highest international levels of excellence. www.cambridge.org Information on this title: www.cambridge.org/9781107175570 10.1017/9781316799895 © Cambridge University Press 2016 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2016 Printed in the United Kingdom by TJ International Ltd. Padstow Cornwall A catalogue record for this publication is available from the British Library Library of Congress Cataloging-in-Publication Data Names: Marzetta, Thomas L., author. Title: Fundamentals of massive MIMO / Thomas L. Marzetta, Bell Labs, Nokia [and 3 others]. Description: New York : Cambridge University Press, 2016. Identifiers: LCCN 2016031164 | ISBN 9781107175570 (Hardback) Subjects: LCSH: MIMO systems. | Wireless communication systems. | BISAC: TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications. Classification: LCC TK5103.4836 .M37 2016 | DDC 621.3841–dc23 LC record available at https://lccn.loc.gov/2016031164 ISBN 978-1-107-17557-0 Hardback Additional resources for this title are available at www.cambridge.org/Marzetta Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party Internet Web sites referred to in this publication, and does not guarantee that any content on such Web sites is, or will remain, accurate or appropriate.
Contents PREFACE 1 INTRODUCTION 1.1 Point-to-Point MIMO . . . . 1.2 Multiuser MIMO . . . . 1.3 Massive MIMO . . . . . . 1.4 Time-Division versus Frequency-Division Duplexing . 1.5 Summary of Key Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 5 6 . . . . 8 . . 10 . . 15 . . 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 MODELS AND PRELIMINARIES 3 SINGLE-CELL SYSTEMS 3.1 Uplink Pilots and Channel Estimation . . . . 3.1.1 Orthogonal Pilots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 . . 45 . . 46 v . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.1 Single-Antenna Transmitter and Single-Antenna Receiver . . . . . . . . Interpretation of Tc and Bc in Terms of Nyquist Sampling Rate . . . . . . . . . . . 19 . . 19 . . 19 . . 21 . . 22 . . 23 . . 24 . . 25 . . 29 . . 30 . . 30 . . 31 . . 33 . . 36 . . 38 . . 38 Fading Channel with Gaussian Noise and Perfect CSI at the Receiver 38 Fading Channel with Non-Gaussian Noise and no CSI at the Receiver 39 Fading Channel with Non-Gaussian Noise and Side Information . . 40 . . 41 2.1.1 Coherence Time . . . . 2.1.2 Coherence Bandwidth . . 2.1.3 Coherence Interval . . 2.1.4 . 2.1.5 TDD Coherence Interval Structure . 2.1.6 The Coherence Interval in the Context of OFDM Modulation . . 2.1.7 Small-Scale and Large-Scale Fading . . 2.1.8 Normalized Signal Model and SNR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3.1 Deterministic Channel with Additive Gaussian Noise . . . 2.3.2 Deterministic Channel with Additive Non-Gaussian Noise . 2.3.3 2.3.4 2.3.5 . . 2.2 Multiple Base Station Antennas and Multiple Terminals . . . . . . . . 2.3 Capacity Bounds as Performance Metric . 2.2.1 Single-Cell System . 2.2.2 Multi-Cell System . 2.4 Summary of Key Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
vi CONTENTS 3.2 Uplink Data Transmission . 3.2.1 Zero-Forcing . . . 3.2.2 Maximum-Ratio . . 3.1.2 De-Spreading of the Received Pilot Signal . 3.1.3 MMSE Channel Estimation . . . . . . . . . . . . . . . . . . . . . 3.3 Downlink Data Transmission . . . . . 3.3.1 Linear Precoding . . 3.3.2 Zero-Forcing . . . 3.3.3 Maximum-Ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.4 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.4.1 3.4.2 3.4.3 Interpretation of the Effective SINR Expressions . . Implications for Power Control . . Scaling Laws and Upper Bounds on the SINR . . . . . . 3.5 Near-Optimality of Linear Processing when M K . . . 3.6 Net Spectral Efficiency . 3.7 Limiting Factors: Number of Antennas and Mobility . 3.8 Summary of Key Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 MULTI-CELL SYSTEMS 4.1 Uplink Pilots and Channel Estimation . . . . 4.2 Uplink Data Transmission . . . . . 4.2.1 Zero-Forcing . . . 4.2.2 Maximum-Ratio . . . . . . . . . . . . . 4.3 Downlink Data Transmission . . . . 4.3.1 Zero-Forcing . . . 4.3.2 Maximum-Ratio . . . . . . . . . . . . . . . . . . 4.4 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 . . 47 . . 48 . . 50 . . 53 . . 56 . . 56 . . 58 . . 59 . . 62 . . 63 . . 65 . . 65 . . 67 . . 69 . . 70 . . 75 77 . . 78 . . 79 . . 80 . . 82 . . 85 . . 87 . . 88 . . 92 92 . . 94 . . 94 . . 96 4.4.1 Asymptotic Limits with Infinite Numbers of Base Station Antennas . . 4.4.2 The Effects of Pilot Contamination . 4.4.3 Non-Synchronous Pilot Interference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.5 Summary of Key Points . . . . . 5 POWER CONTROL PRINCIPLES . . . . . . . . . . . . . 5.1 Preliminaries . . 5.2 Power Control with Given SINR Targets . . . . . . . . . . . . . . . . . Single-Cell System with Max-Min Fairness . . . . . . 5.3 Max-Min Fairness Power Control . Single-Cell System . 5.2.1 5.2.2 Multi-Cell System . . . . . . . . . . . 5.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 . . 97 . . 99 . . 100 . . 100 . . 101 . . 101
CONTENTS vii 5.3.2 Multi-Cell Systems with Network-Wide Max-Min Fairness . 5.3.3 Negligible Coherent Interference and Full Power . . . . 5.3.4 Uniformly Good Service . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.4 Summary of Key Points . . . . . . . . . . . . . . . . . . . . . . . . 105 . . 106 . . 112 . . 112 6 CASE STUDIES . . . . . Pilot Assignment and Required Pilot Sequence Length . 6.1.1 Required Number of Antennas and Radiated Power . . . . 6.1.2 Analysis of the Max-Min Fairness Power Control Policy . . . . . . . . . . . . 115 6.1 Single-Cell Deployment Example: Fixed Broadband Access in Rural Area . 115 . . 118 . . 121 . . 122 6.2 Multi-Cell Deployment: Preliminaries and Algorithms . . 122 6.2.1 Multi-Cell Cluster Modeling and Pilot Reuse . . . 124 6.2.2 Assignment of Terminals to Base Stations . . . . . 125 6.2.3 Dropping Terminals from Service . . . . 6.2.4 . . 126 6.2.5 Max-Min Power Control that Accounts for Coherent Interference . . 127 . . 128 . . 129 . . 129 . . 130 . . 133 . . 134 . . 138 . . 6.3.1 Dense Urban Scenario . . 6.3.2 . . . 6.3.3 Minimum Per-Terminal Throughput Performance . . 6.3.4 Additional Observations . . . . 6.3.5 Comparison of Power Control Policies . . . . 6.3 Multi-Cell Deployment Examples: Mobile Access . . . 6.4 Summary of Key Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Suburban Scenario . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 THE MASSIVE MIMO PROPAGATION CHANNEL 7.1 Favorable Propagation and Deterministic Channels . . . . 7.1.1 Capacity Upper Bound . . 7.1.2 Distance from Favorable Propagation . 7.1.3 7.1.4 . . . . . . Favorable Propagation and Linear Processing . Singular Values and Favorable Propagation . . . . 7.2.1 . . 7.2.2 Uniformly Random Line-of-Sight (UR-LoS) . . 7.2.3 Independent Rayleigh Fading versus UR-LoS . . . . . 7.2 Favorable Propagation and Random Channels . . . 7.3 Finite-Dimensional Channels . 7.4 Summary of Key Points . . Independent Rayleigh Fading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 FINAL NOTES AND FUTURE DIRECTIONS 8.1 Alternative Approaches to Performance Analysis 8.2 Multiple-Antenna Terminals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 . . 139 . . 140 . . 141 . . 141 . . 142 . . 143 . . 143 . . 145 . . 146 . . 153 . . 154 157 . . 157 . . 157
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