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This study focuses on mitigating the multipath, especially the short-delay multipath of the BeiDou navigation satellite system under impulsive noise conditions. A modified least meanp-norm (LMP) algorithm is developed to reduce the convergence time with the same steady-state error by predicting the updating trend of weights. The modified normalized power and the normalized polynomial least meanpth power are also directly provided according to a similar principle. According to the research work,doi:10.1155/2015/864327 fatcat:xhc3r4mmcfggrec2dhry6oihvu