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Summary
Summary
This text evolved from notes used to teach two-semester courses on multi-port signals and systems theory and vector-valued signal transmission to third-year electrical and computer engineering students. It is also based on the author's tutorial courses on the subject presented to practicing engineers in industry. The primary motivation has been to familiarize the reader with the essential tools and methods used to describe the dynamic behavior of electrical multiple-input multiple-output (MIMO) systems. The book shall provide a basic understanding of the fundamentals, implementation, and of MIMO techniques. For easier comprehension, these applications techniques, in conjunction with several "classic" algorithms, are illustrated by means of numerous worked examples. MATLAB, a matrix-oriented commercial software package with user-friendly interfaces and excellent graphics support, was chosen to perform numerical analyses. MATLAB is very easy to learn and de facto a worldwide standard programming language in universities and industry. End-of chapter problems are added to provide additional training opportunities and to reinforce the knowledge gained. Over the last decade, spurred by the invention of a series of fundamentally new wireless transmission concepts, MIMO theory has been transformed into one of the most vibrant and active research areas. Communications engineers continue to produce - at an unprecedented high speed - more accurate radio channel models. Spectral efficiencies of actually working systems are reported as high as 20 bits/s/Hz. Information theorists are eager to find more accurate formulas describing capacity bounds for communication systems with multiple transmit and/or receive antennas.
Table of Contents
Adopted Notations | p. xv |
1 Review of Linear Time-Invariant (LTI) Multi-Port System Theory | p. 1 |
1.1 Introduction | p. 1 |
1.2 A Matrix-Based View of Electrical Multi-Port Networks | p. 2 |
1.3 Microwave Multi-Port Networks With Port Excitations | p. 11 |
1.4 Fundamental Properties and Models of MIMO Systems | p. 26 |
1.5 Chapter 1 Problems | p. 44 |
References | p. 47 |
2 Analysis of Space-Time Signals | p. 49 |
2.1 Introduction to Space-Time Processes | p. 49 |
2.2 Choice of Coordinate Systems and Vector Analysis | p. 50 |
2.3 Electromagnetic Waves Propagating Through MIMO Channels | p. 54 |
2.4 Wavenumbers and Wavenumber-Frequency Spectra | p. 61 |
2.5 Chapter 2 Problems | p. 100 |
References | p. 102 |
3 Antennas and Radiation | p. 105 |
3.1 Introduction | p. 105 |
3.2 Simple Antennas and Their EM Fields | p. 106 |
3.3 Field Zones and Approximations | p. 108 |
3.4 Radiation Patterns | p. 116 |
3.5 Propagation of EM Waves Through Linear Media | p. 129 |
3.6 Chapter 3 Problems | p. 134 |
References | p. 135 |
4 Signal Space Concepts and Algorithms | p. 137 |
4.1 Introduction | p. 137 |
4.2 Geometry and Applicable Laws | p. 137 |
4.3 Orthogonality of Signals | p. 139 |
4.4 Signal Projections | p. 155 |
4.5 Chapter 4 Problems | p. 159 |
References | p. 160 |
5 MIMO Channel Problems and Solutions | p. 161 |
5.1 Introduction | p. 161 |
5.2 Standard Problems Encountered in MIMO System Theroy | p. 161 |
5.3 Finite Sets of Signal Matrices | p. 170 |
5.4 Space-Time Block Codes | p. 174 |
5.5 The Alamouti Scheme | p. 177 |
5.6 Chapter 5 Problems | p. 184 |
References | p. 185 |
Appendices | |
A Vector Operations | p. 187 |
B Matrix Algebra | p. 191 |
C List of Scaled-Orthogonal Space-Time Code (STC) Matrices | p. 195 |
Index | p. 199 |