lms算法畢業(yè)論文.doc

lms算法畢業(yè)論文LMS算法研究專(zhuān)業(yè)：通信工程2摘要因LMS算法具有低計(jì)算復(fù)雜度、在平穩(wěn)環(huán)境中的收斂性好、其均值無(wú)偏地收斂到wiener解和利用有限精度實(shí)現(xiàn)算法時(shí)的穩(wěn)定性等特性，使LMS算法成為自適應(yīng)算法中應(yīng)用最廣泛的算法。對(duì)LMS算法及其改進(jìn)算法進(jìn)行了研究，探討了步長(zhǎng)因子n對(duì)各種算法收斂性、穩(wěn)定性的影響。并用MATLAB對(duì)其學(xué)習(xí)曲線、收斂速度等進(jìn)行了仿真分析。結(jié)果表明，變步長(zhǎng)n的取值尤為重要，如果（n）取較大值則具有較快的收斂速度，如果（n）取值很小，則MLMS算法近似等效于LMS算法。它們的自適應(yīng)過(guò)程較快，性能有了很大改進(jìn)。3AbstractBecauseoflowcomputationalcomplexity,stableenvironmentintheconvergenceofgood,unbiasedanditsmeanconvergestothewienersolutionandimplementationalgorithmsusingfiniteprecisionstabilityandothercharacteristics,LMSalgorithmasadaptivealgorithmintheapplicationofthemostawiderangeofalgorithms.WehaveadetailedstudyonLMSalgotithmanditscomplementaryalgotithm,disscusedthestep-sizesinfluentforthealgorithmsconvergencespeedandstability.AndusingMATLABsimulatedthelearningcurve,convergencespeedofLMSalgotithm.Theresultobservedthatthevalueofvariablestep-size（n）isveryimportant,ifitisabiggermayhaveafastconvergencespeed,butifnot,theNLMSalgotithmcaninsteadtheLMSalgotithminthecharacteristics.Inaddition,theyhaveafastadaptivecourseandgreatlyprogressinperformance.Keywords：LMSalgorithm，Adaptive，NLMSalgorithm，Variablestep，MATLABsimulation.4目錄第一章緒論.61.1自適應(yīng)濾波理論的發(fā)展.61.2自適應(yīng)LMS算法的發(fā)展.71.2.1LMS算法歷史.71.2.2LMS算法的現(xiàn)狀.71.2.3LMS算法的發(fā)展前景.7第二章自適應(yīng)LMS算法的研究.92.1概述.92.2LMS算法.92.2.1自適應(yīng)收斂性.112.2.2平均MSE學(xué)習(xí)曲線.122.2.3失調(diào).142.2.4縮短收斂過(guò)程的方法.15第三章LMS自適應(yīng)濾波器的改進(jìn)形式.173.1歸一化LMS算法.173.1.1TDO-LMS算法.193.1.2MLMS算法.203.2泄露LMS算法.213.3極性LMS算法.223.4LMS算法梯度估計(jì)的平滑.223.5解相關(guān)LMS算法.233.6性能比較.24第五章LMS算法的應(yīng)用.255.1LMS類(lèi)均衡器.255.1.1解相關(guān)LMS（DecorrelationLMS,DLMS）均衡算法.255.1.2變化域解相關(guān)LMS均衡算法.255.2自適應(yīng)信號(hào)分離器.265.3自適應(yīng)陷波器.275.4系統(tǒng)辨識(shí)或系統(tǒng)建模.27第六章仿真及其結(jié)果分析.296.1仿真思路.296.2結(jié)果及分析.296.2.