Impact of the Gaussian approximation on the performance of the probabilistic data association MIMO decoder

Authors:
Justus Ch. Fricke;Magnus Sandell;Jan Mietzner;Peter A. Hoeher
Affiliations:
Information and Coding Theory Lab, Faculty of Engineering, University of Kiel, Kiel, Germany;Toshiba Research Europe Ltd., Telecommunications Research Laboratory, Bristol, UK;Information and Coding Theory Lab, Faculty of Engineering, University of Kiel, Kiel, Germany;Information and Coding Theory Lab, Faculty of Engineering, University of Kiel, Kiel, Germany
Venue:
EURASIP Journal on Wireless Communications and Networking
Year:
2005

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Abstract

The probabilistic data association (PDA) decoder is investigated for use in coded multiple-input multiple-output (MIMO) systems and its strengths and weaknesses are determined. The conventional PDA decoder includes two approximations. The received symbols are assumed to be statistically independent and a Gaussian approximation is applied for the interference and noise term. We provide an analytical formula for the exact probability density function (PDF) of the interference and noise term, which is used to discuss the impact of the Gaussian approximation in the presence of a soft-input soft-output channel decoder. The results obtained resemble those obtained for the well-known PDA multiuser detector in coded CDMA systems for which similar investigations have been done before.