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.