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Abstract The microstatistic multi-user receiver (MSF-MUD) belongs to non–linear single–stage multi-user receivers' family (NSS–MUD) [1-3]. The output of the MSF-MUD is taken as the sign of the multi-channel nonlinear transformation of the output of a bank of the matched filters (BMF). The non-linear transformation is made by multi-channel conventional microstatistic filter (M-CMF) [2]. The M-CMF consists of the set of M threshold decomposers (TD) and M multi-channel Wiener filters (M-WF). In the case of the optimum MSF-MUD design it is necessary to determine the optimum parameters of the TDs and M-WFs of M-CMF. The design of the TDs (the most complex phase of the optimum MSF-MUD design) consists in a non-linear optimization task solution. In this paper, the scanning method (SC-M), genetic algorithm based method (GA-M) [4] and method of cumulative distribution function (CDF-M) for the optimum and sub-optimum M-CMF TDs design will be described. It will be shown that the most effective approach for sub-optimum MSF-MUD design is provided by the CDF-M. This method is able to reduce the computational complexity of the MSF-MUD design at almost optimum performance properties of the MSF-MUD.
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