1. Introduction to multi-antenna communications
1.1 Brief history of array processing
1.2 Space-time wireless channels for multi-antenna systems
1.3 Exploiting multiple antennas in wireless systems
1.4 Single-Input Multiple-Output systems
1.5 Multiple-Input Single-Output systems
1.6 Multiple-Input Multiple-Output systems
1.7 Multiple antenna techniques in commercial wireless systems

2. Physical MIMO channel modelling
2.1 Multidimensional channel modelling
2.2 Electromagnetic models
2.3 Geometry based models
2.4 Empirical models
2.5 Standardized models
2.6 Antennas in MIMO systems

3. Analytical MIMO channel representations for system design
3.1 General representations of correlated MIMO channels
3.2 Simplified representations of Gaussian MIMO channels
3.3 Propagation-motivated MIMO metrics
3.4 Relationship between physical models and analytical representations

4. Mutual information and capacity of real-world random MIMO channels
4.1 Capacity of fading channels with perfect transmit channel knowledge
4.2 Ergodic capacity of I.I.D. Rayleigh fast fading channels with partial transmit channel knowledge
4.3 Mutual information and capacity of correlated Rayleigh channels with partial transmit channel knowledge
4.4 Mutual information and capacity of Ricean channels with partial transmit channel knowledge
4.5 Mutual information in some particular channels
4.6 Outage capacity and diversity-multiplexing trade off in I.I.D. Rayleigh slow fading channels
4.7 Outage capacity and diversity-multiplexing trade-off in semi-correlated Raylaigh and Ricean slow fading channels

5. Space-time coding over I.I.D. Rayleigh flat fading channels
5.1 Overview of a space-time encoder
5.2 System model
5.3 Error probability motivated design methodology
5.4 Information theory motivated design methodology
5.5 Space-time block coding
5.6 Space-time trellis coding

6. Error probability in real-world MIMO channels
6.1 A conditional pairwise error probability approach
6.2 Introduction to an average pairwise error probability approach
6.3 Average pairwise error probability in Rayleigh fading channels
6.4 Average pairwise error probability in Ricean fading channels
6.5 Average pairwise error probability in dual-polarized channels
6.6 Perspectives on the space-time code design in realistic channels

7. Space-time coding over real-world MIMO channels with no transmit channel knowledge
7.1 Information theory motivated design methodology
7.2 Information theory motivated code design in slow fading channels
7.3 Error probability motivated design methodology
7.4 Error probability motivated code design in slow fading channels
7.5 Error probability motivated code design in fast fading channels

8. Space-time coding with partial transmit channel knowledge
8.1 Introduction to channel statistics based precoding techniques
8.2 Channel statistics based precoding for orthogonal space-time block coding
8.3 Channel statistics based precoding for codes with non identity error matrices
8.4 Channel statistics based precoding for spatial multiplexing
8.5 Introduction to quantized precoding and antenna selection techniques
8.6 Quantized precoding and antenna selection
8.7 Quantized precoding and antenna selection for orthogonal space-time block coding
8.8 Quantized precoding and antenna selection for spatial multiplexing
8.9 Information theory motivated quantized precoding

9. Space-time coding for frequency selective channels
9.1 Single-carrier vs multi-carrier transmissions
9.2 Information theoretic aspects for frequency selective MIMO channels
9.3 Average pairwise error probability
9.4 Code design criteria for single carrier transmissions in Rayleigh fading channels
9.5 Code design criteria for space-frequency coded MIMO-OFDM transmissions in Rayleigh fading channels
9.6 On the robustness of codes in spatially correlated frequency selective channels

Appendix A: Useful mathematical and matrix properties
Appendix B: Complex Gaussian random variables and matrices
Appendix C: SUI channel model
Appendix D: Antenna coupling model
Appendix E: Derivation of the average pairwise error probability