Tài liệu 19 Convergence Issues in the LMS Adaptive Filter docx

... LLCConvergenceIssuesintheLMSAdaptiveFilterScottC.DouglasUniversityofUtahMarkusRuppBellLaboratoriesLucentTechnologies 19. 1Introduction 19. 2CharacterizingthePerformanceofAdaptiveFilters 19. 3AnalyticalModels,Assumptions,andDefinitionsSystemIdentificationModelfortheDesiredResponseSignal•StatisticalModelsfortheInputSignal•TheIndependenceAssumptions•UsefulDefinitions 19. 4AnalysisoftheLMSAdaptiveFilterMeanAnalysis•Mean-SquareAnalysis 19. 5PerformanceIssuesBasicCriteriaforPerformance•IdentifyingStationarySystems•TrackingTime-VaryingSystems 19. 6SelectingTime-VaryingStepSizesNormalizedStepSizes•AdaptiveandMatrixStepSizes•OtherTime-VaryingStepSizeMethods 19. 7OtherAnalysesoftheLMSAdaptiveFilter 19. 8AnalysisofOtherAdaptiveFilters 19. 9ConclusionsReferences 19. 1 IntroductionInadaptivefiltering,theleast-mean-square (LMS) adaptive lter[1]isthemostpopularandwidelyusedadaptivesystem,appearinginnumerouscommercialandscientificapplications.TheLMS adaptive lterisdescribedbytheequationsW(n+1) ... affecting the choicesof these parameters using the analytical results for LMS adaptive filter’s behavior derived in the lastsection. 19. 5.1 Basic Criteria for PerformanceTheperformance oftheLMS adaptive ltercan ... for the LMS adaptive filter in these situations. In this section,we consider useful on-line procedures for computing µ(n) in the LMS adaptive filter to meet theseperformance requirements. 19. 6.1...

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... on the convergence performance of a robust adaptive scheme. In the remaining sections of this chapter, we discuss the combined issues of robustness and convergence from a deterministic standpoint. ... is the maximum absolute value of the gain of the feedback loop over the interval oftime 0 ≤ i ≤ N, and ξ(N) is the maximum value of the scaling factor µ(i)/¯µ(i) at the input of the feedback interconnection. ... intothebehaviorof the adaptive scheme. Because the mapTi in the feedforward path is lossless or energy-preserving, the design and analysis effortcan be concentrated on the terms contained in the...

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... the contribution to the inertia of the dimensions. The final two columns provide the squared cosine, which is the sum of the squared correlation of a row or column. The final column indicates the total ... that have the most impact in determin-ing the orientation of this dimension were YOK, with 46.3% of the inertia,anchoring the positive end, and NOK with 42.8% of the inertia, anchoring the negative ... end.For interpretation of this dimension, we turn to the coordinates andcontributions of the perceptual themes. The contribution to inertia of the perceptual themes indicates that the first principal...