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This paper presents an overview of adaptive equalization used in Multiple-Input-Multiple-Output (MIMO) wireless systems. In this paper, the authors consider two-user transmission over a Rayleigh frequency selective fading channel, in which the Channel State Information (CSI) is known by the receiver. Subject to an average transmit power constraint, they study the performance with Rayleigh fading. Besides an approximation result of such performance is proposed, and by conducting numerical comparison it is shown that their suggested approximation result has a better performance in approximating Rayleigh fading using Maximum-Likelihood Sequence Estimation (MLSE) algorithm. They here proposed a split MLSE adaptive equalization for use in faded MIMO channels.
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