Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- List of notation
- 1 Introduction
- 2 The wireless channel
- 3 Point-to-point communication: detection, diversity and channel uncertainity
- 4 Cellular systems: multiple access and interference management
- 5 Capacity of wireless channels
- 6 Multiuser capacity and opportunistic communication
- 7 MIMO I: spatial multiplexing and channel modeling
- 8 MIMO II: capacity and multiplexing architectures
- 9 MIMO III: diversity–multiplexing tradeoff and universal space-time codes
- 10 MIMO IV: multiuser communication
- Appendix A Detection and estimation in additive Gaussian noise
- Appendix B Information theory from first principles
- References
- Index
9 - MIMO III: diversity–multiplexing tradeoff and universal space-time codes
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Acknowledgements
- List of notation
- 1 Introduction
- 2 The wireless channel
- 3 Point-to-point communication: detection, diversity and channel uncertainity
- 4 Cellular systems: multiple access and interference management
- 5 Capacity of wireless channels
- 6 Multiuser capacity and opportunistic communication
- 7 MIMO I: spatial multiplexing and channel modeling
- 8 MIMO II: capacity and multiplexing architectures
- 9 MIMO III: diversity–multiplexing tradeoff and universal space-time codes
- 10 MIMO IV: multiuser communication
- Appendix A Detection and estimation in additive Gaussian noise
- Appendix B Information theory from first principles
- References
- Index
Summary
In the previous chapter, we analyzed the performance benefits of MIMO communication and discussed architectures that are designed to reap those benefits. The focus was on the fast fading scenario. The story on slow fading MIMO channels is more complex. While the communication capability of a fast fading channel can be described by a single number, its capacity, that of a slow fading channel has to be described by the outage probability curve pout(·), as a function of the target rate. This curve is in essence a tradeoff between the data rate and error probability. Moreover, in addition to the power and degree-of-freedom gains in the fast fading scenario, multiple antennas provide a diversity gain in the slow fading scenario as well. A clear characterization of the performance benefits of multiple antennas in slow fading channels and the design of good space-time coding schemes that reap those benefits are the subjects of this chapter.
The outage probability curve pout(·) is the natural benchmark for evaluating the performance of space-time codes. However, it is difficult to characterize analytically the outage probability curves for MIMO channels. We develop an approximation that captures the dual benefits of MIMO communication in the high SNR regime: increased data rate (via an increase in the spatial degrees of freedom or, equivalently, the multiplexing gain) and increased reliability (via an increase in the diversity gain). The dual benefits are captured as a fundamental tradeoff between these two types of gains.
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- Fundamentals of Wireless Communication , pp. 383 - 424Publisher: Cambridge University PressPrint publication year: 2005
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