目录摘要................................................................1Abstract.............................................................2第1章绪论.........................................................31.1自适应滤波器................................................31.2分布式网络..................................................31.3分布式算法..................................................51.4论文主要内容................................................5第2章单任务分布式LMS算法........................................62.1单任务网络..................................................62.2单任务分布式LMS算法........................................72.3性能指标....................................................92.4MATLAB仿真................................................102.4.1仿真要求.............................................102.4.2仿真结果与分析.......................................10第3章多任务分布式LMS算法.......................................143.1多任务网络.................................................143.2多任务分布式LMS算法.......................................153.3性能指标...................................................183.4MATLAB仿真................................................183.4.1仿真要求.............................................183.4.2仿真结果与分析.......................................19第4章总结........................................................24参考文献...........................................................25致谢...............................................................27摘要近年来,人们将自适应算法扩展到了网络中,提出了自适应网络这一概念。在自适应网络中,每个节点都有其要估计的最佳向量,但在估计过程中,所有节点会根据相邻节点的数据信息进行联合估计,这种估计策略被称为扩散策略,为此研究学者提出了各种分布式算法。在单任务网络中,所有节点联合估计同一个最佳向量;在多任务网络中,所有节点分为不同簇,每个簇都有其要估计的最佳向量,相邻簇之间也需要进行数据信息的联合。本文主要介绍分布式自适应网络中的单任务自适应网络和多任务自适应网络,并利用MATLAB对单任务分布式LMS算法和多任务分布式LMS算法进行仿真,并比较这些算法的优缺点。关键词:单任务自适应网络、多任务自适应网络、单任务分布式LMS算法、多任务分布式LMS算法AbstractInrecentyears,peoplehaveextendedtheadaptivealgorithmtothenetworkandproposedtheconceptofadaptivenetwork.Intheadaptivenetwork,eachnodehasitsbestvectortoestimate,butintheestimationprocess,allnodeswilljointlyestimatethedatabasedontheneighboringnodes.Thisestimationstrategycalleddiffusionstrategy.Researchscholarshadproposedvariousdistributedalgorithms.Insingle-tasknetwork,allnodesjointlyestimatethesameoptimalvector.Inmultitasknetwork,allnodesaredividedintodifferentclustersandeachclusterhasitsbestvectortobeestimated.Jointestimationofdatainformationisalsoneededbetweenadjacentclusters.Thispapermainlyintroducessingle-taskself-adaptivenetworkandmulti-taskself-adaptivenetworkindistributedadaptivenetwork,andusesMATLABtosimulatesingle-taskdistributedLMSalgorithmandmulti-taskdistributedLMSalgorithm,andcomparestheadvantagesanddisadvantagesofthesealgorithms.Keywords:Singletaskadaptivenetwork、Multi-taskadaptivenetwork、SingletaskdistributedLMSalgorithm、Multi-taskdistributedLMSalgorithm第1章绪论1.1自适应滤波器滤波器通常被用来在含有噪声的信号中提取有用的数据。目前,维纳滤波器和自适应滤波器是在信号处理上应用最广泛的滤波器。20世纪40年代,数学...