kkkWWEWEWV,()Accordingto(),theithelementofkVis:()wherekWbiasiistheweightingcoefficientbiasandkiisazero-meanrandomvariablewiththevariance.ThevariancedependsonthetypeofLMS-basedalgorithm,aswellasontheexternalnoisevariancen.Thus,ifthenoisevarianceisconstantorslowly-varying,istimeinvariantforaparticularkkWbiaskWEkWkWkWEkViiiiiii*LMS-basedalgorithm.Inthatsense,intheanalysisthatfollowswewillassumethatdependsonlyonthealgorithmtype,i.e.onitsparameters.Animportantperformancemeasureforanadaptivefilterisitsmeansquaredeviation(MSD)ofweightingcoefficients.Fortheadaptivefilters,itisgivenby,[]:kTkkVVEMSDlim..CombinedadaptivefilterThebasicideaofthecombinedadaptivefilterliesinparallelimplementationoftwoormoreadaptiveLMS-basedalgorithms,withthechoiceofthebestamongthemineachiteration[].Choiceofthemostapp之间,我们可以稍微改进算法瞬态行为。
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