The Analysis of the Convergence Property of the DLMP Algorithm under the Fractional Lower Order α-Stable Conditions
Qiu Tian-shuang · Dianzi xuebao · 2005
The direct least mean p-norm (DLMP) algorithm is a robust algorithm for estimating latency changes of evoked potential (EP) signals under both Guassian and the fractional lower orderα-stable noise conditions.Based on the fractional lower order statistics theory,the deterministic averaging method and two lemmas introduced and proved,this paper gives an analysis of the convergence property of the DLMP algorithm theoretically.The results of the analysis indicate that,if the EP latency change is an integer multiple of the sampling interval,the DLMP algorithm gives an unbiased estimate of the latency change;otherwise,the algorithm yields an estimate which differs from the true latency change by at most half of a sampling interval.