Mimo Systems in Frequency Selective Fading: Channel Model, Shannon Capacity, Linear Coding

We address MIMO systems in the presence of frequency selective fading. We first describe our channel model, then we derive capacity formula, and finally we develop a linear coding procedure for the obtained channel model. Starting from a physical mobile channel model with known scatterer geometry, we develop a MIMO FIR channel model. Our channel model results in stationary, ergodic vector process for the FIR coefficients. We derive capacity of this MIMO FIR channel, assuming that both transmitter and receiver have perfect channel side information. To derive capacity, we use random ergodic operator theory. We develop an approach of linear coding of discrete time continuous amplitude sources over MIMO FIR channel using source and channel eigendecomposition on finite blocks. Thus, we reduce the problem to linear coding of vector sources on vector channels. For each channel frame we use MIMO-OFDM. We analyze the impact of antenna correlation on performance.