Probabilistic data association for symbol detection in MIMO systems

The application of the probabilistic data association (PDA) algorithm to the symbol detection in narrowband spatial multiplexed multiple input Multiple Output systems with known channel state information is investigated. The performance of a new proposed complex formulation of PDA algorithm, which matches the full parameters of the complex Gaussian distribution (which are the mean vector, covariance matrix and the pseudo-covariance matrix), is compared with the real vector formulation of a generalised PDA algorithm and a PDA implementation. which employs complex Gaussian approximations with matched mean and covariance only.