Robust Multiuser Detection Method Based on Least p-Norm State Space Criterion

Alpha stable distribution is better for modeling impulsive noises than Gaussian distribution in wireless communication system. This class of process has no close form of probability density function and finite second order moments. In general, Wiener filter theory is not meaningful in α SG environments because the expectations may be unbounded. We proposed a new adaptive recursive least p-norm State space multiuser detection algorithm based on least p-norm of innovation process with infinite variances. The simulation experiments show that the proposed new algorithm is more robust than the conventional state space multiuser detection algorithm.

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