Foundations and Trends® in Communications and Information Theory > Vol 1 > Issue 2

Transmission and Reception with Multiple Antennas: Theoretical Foundations

By E. Biglieri, Politecnico di Torino, Italy, ezio.biglieri@polito.it | G. Taricco, Politecnico di Torino, Italy, giorgio.taricco@polito.it

 
Suggested Citation
E. Biglieri and G. Taricco (2004), "Transmission and Reception with Multiple Antennas: Theoretical Foundations", Foundations and Trends® in Communications and Information Theory: Vol. 1: No. 2, pp 183-332. http://dx.doi.org/10.1561/0100000002

Publication Date: 01 Sep 2004
© 2004 E. Biglieri and G. Taricco
 
Subjects
Communication system design
 

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In this article:
1. Introduction 
2. Preliminaries 
3. Channel models 
4. Channel capacity 
5. Influence of channel-state information 
6. Coding for multiple-antenna systems 
7. Some practical coding schemes 
8. Suboptimum receiver interfaces 
9. The fundamental tradeoff 
Appendix A. Complex random variables and vectors 
Appendix B. Results from information theory 
Appendix C. Random matrices 
Appendix D. Numerical calculation of error probabilities 
Appendix E. Two proofs 
References 
Notations and Acronyms 

Abstract

Wireless communication system design was until recently thought to have been limited in practice by time and bandwidth. The discovery that space, obtained by increasing the number of transmit and receive antennas, can also effectively generate degrees of freedom, and hence expand the range of choices made available to the design offers system designers important new opportunities. This paper focuses on the main aspects of single-user multiple-antenna theory, with the goal of presenting a comprehensive, yet compact, survey, emphasizing its mathematical aspects. After describing channel models, we compute the capacities they achieve, we briefly overview "space-time" codes, and we describe how suboptimum architectures can be employed to simplify the receiver.

DOI:10.1561/0100000002

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Table of contents:
1. Introduction
2. Preliminaries
3. Channel models
4. Channel capacity
5. Influence of channel-state information
6. Coding for multiple-antenna systems
7. Some practical coding schemes
8. Suboptimum receiver interfaces
9. The fundamental tradeoff
Appendix A. Complex random variables and vectors
Appendix B. Results from information theory
Appendix C. Random matrices
Appendix D. Numerical calculation of error probabilities
Appendix E. Two proofs
References
Notations and Acronyms

Transmission and Reception with Multiple Antennas

Transmission and Reception with Multiple Antennas: Theoretical Foundations presents a comprehensive, yet compact, survey, emphasizing the mathematical aspects of single-user multiple-antenna theory. Wireless communication system design was until recently thought to have been limited in practice by time and bandwidth. The discovery that space, obtained by increasing the number of transmit and receive antennas, can also effectively generate degrees of freedom, and hence expand the range of choices made available to the design offers system designers important new opportunities.

Transmission and Reception with Multiple Antennas: Theoretical Foundations describes the channel models deployed in such systems shows how to compute the capacities achieved, overviews "space-time" codes and describes how suboptimum architectures can be employed to simplify the receiver. It provides an excellent overview for designers, students and researchers working at the forefront of wireless communication systems.

 
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