Error performance of MIMO systems in frequency selective Rayleigh fading channels

This paper analyzes the error performance of multiple-input multiple-output (MIMO) systems in frequencyselective Rayleigh fading channels. A zero-forcing (ZF) receiver is applied to separate transmitted data streams for each resolvable multipath component. The decision for each symbol of a transmitted data stream is based on combining L zero-forced multipath components carrying information of the same symbol. Analytical error rate expressions for the system in the absence of intersymbol interference (ISI) and inter-path interference (IPI) are derived first. Then, the effects of ISI and IPI caused by frequencyselective fading of the performance of a MIMO system with direct-sequence spreading applied to each transmitted symbol are studied by simulations. It is found that for a system with N transmit antennas, M receive antennas, and L resolvable multipath components, the ZF receiver combined with a RAKE with maximal ratio combining is equivalent to a 2-dimensional RAKE with a diversity order of (M − N + 1)L.