Theory and Practice of MIMO Wireless Communication Systems

CONTENTS Summary 30 2.1 Shannon’s Capacity Formula 30 2.2 Extended Capacity Formula for MIMO Channels 31 2.2.1 General Capacity Formula 31 2.2.2 Transformation of the MIMO Channel into n SISO Subchannels 32 2.2.3 No CSI at the Transmitter 34 2.2.4 CSI at the Transmitter 35 2.2.5 Channel Estimation at the Transmitter 35 2.3 Remarks on the Extended Shannon Capacity Formula 36 2.3.1 Bounds on MIMO Capacity 36 2.3.2 Capacity of Orthogonal Channels 38 2.3.3 Effective Degrees of Freedom 38 2.4 Capacity of SIMO — MISO Channels 39 2.5 Stochastic Channels 40 2.5.1 Ergodic Capacity 40 2.5.2 Outage Capacity 41 2.6 MIMO Capacity with Rice and Rayleigh Channels 41 2.6.1 MIMO Channel Matrix for Rayleigh Propagation Conditions 42 2.6.2 MIMO Channel Matrix for Ricean Propagation Conditions ...43 2.6.3 Channel Matrix with Spatial Fading Correlation 45 2.7 Simulations 47 2.7.1 MIMO Capacity for a Rayleigh Channel without Spatial Fading Correlation 48 2.7.2 MIMO Capacity for a Rayleigh Channel with Spatial Fading Correlation 49 2.7.3 MIMO Capacity for a Ricean Channel 50