SDMA for Multipath Wireless Channels

1 Introduction.- 1.1 Multielement Antenna Communication Systems in Multipath Wireless Environment.- 1.2 Limit Capacity of a Limited-Size Smart Receiving Antenna Problem Statement.- 1.3 Non-ray Statistical Models of Multipath Wireless Channels.- 1.4 Summary.- 2 Limit Capacity and Statistical Models of Wireless Channels.- 2.1 Limit Capacity of the Two-Dimensional Wireless Channel.- 2.2 Limit Capacity of the Three-Dimensional Wireless Channel.- 2.3 Statistical Model of the Two-Dimensional Omnidirectional Wireless Channel.- 2.4 Statistical Model of the Three-Dimensional Omnidirectional Wireless Channel.- 2.5 Summary.- 3 Capacity of Multiple Input Multiple Output Communication Systems.- 3.1 Decomposition of MIMO Systems.- 3.2 Optimal Power Distribution with Allowance for Thermal Noise and Interference.- 3.3 Crosstalk Effect.- 3.4 Capacity of Systems with Identical Parallel Channels.- 3.5 Summary.- 4 Analysis of the Two-Dimensional Multipath Channel.- 4.1 Representation of the Plane Wave Field by a Fourier Series.- 4.2 Calculation Formulae for Analysis of Two-Dimensional Multipath Wireless Channels.- 4.3 Limit Capacity of the Two-Dimensional Multipath Wireless Channel: Analysis Results.- 4.4 Statistical Model of the Multipath Wireless Channel Based on Polar Solution to Maxwell’s Equation.- 4.5 Summary.- 5 Body of Mathematics for Analysis of Three-Dimensional Multipath Wireless Channels: Spherical Harmonics.- 5.1 Expressing Spherical Three-Dimensional Electromagnetic Fields in Terms of Potentials.- 5.2 Some of the Properties of Spherical Bessel Functions and Associated Legendre Functions.- 5.3 Calculating the Radiant Power of Spherical Harmonics.- 5.4 Numerical Evaluation of Coefficients for Expansion of Electromagnetic Fields into Spherical Harmonics.- 5.5 Expansion of aDipole Field into Spherical Harmonics.- 5.6 Expansion of a Plane Electromagnetic Wave into Spherical Harmonics (downfall).- 5.7 Spherical Harmonics Transformations for Rotation of the Coordinate System.- 5.8 Expansion of the Field of an Arbitrarily Directed Plane Wave into Spherical Harmonics.- 5.9 Summary.- 6 Matrix Element Calculation Formulae for Three-Dimensional Wireless Channels.- 6.1 Calculation of the Channel Matrix Elements in Terms of the Source Wave to Spherical Harmonics Translation.- 6.2 Translation of Plane Waves into Electric and Magnetic Potentials.- 6.3 Calculation of the Channel Matrix Elements in Terms of the Source Wave to Field Components Translation.- 6.4 Summary.- 7 Limit Capacity of the Three-Dimensional Wireless Channel with Potential Antennas.- 7.1 Limiting Characteristics of the Multipath Wireless Channel with a Spherical Receiving Area.- 7.2 Limiting Characteristics of the Three-Dimensional Wireless Channel with a Cylinder-Shaped Receiving Area.- 7.3 Three-dimensional Wireless Channel with a Box-Shaped Receiving Area.- 7.4 Limiting Characteristics of the Three-Dimensional Wireless Channel with Potential Recording Along a Rectilinear Segment.- 7.5 Summary.- 8 Statistical Model of the Three-Dimensional Multipath Wireless Channel.- 8.1 Statistical Properties of the Model Coefficients.- 8.2 Results of the Three-Dimensional Multipath Wireless Channel Modeling.- 8.3 Summary.- Conclusion.