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A Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis

GAO Ying,XIE Sheng-li (Dept.of Electronic and Communication Engineering,South China University of Tech nology,Guangzhou,Guangdong 510641,China)  
This paper discusses about some algorithms of variable step size LMS adaptive fi ltering and establishes another new non-linear functional relationship between ~{L~} and ~{*+~}e(n)~{*+~}.The functional relationship is not only simpler than Sigmoid fun ctional relationship,but also has the property of slight change ~{*+~}e(n)~{*+~} near to zero.Therefore it is superior to Sigmoid functional relationship in the process of step size change of adaptive steady state.On the basis of the functional rel ationship,The author presents the new algorithm of variable step size LMS adapti ve filtering and analyses the algorithm with various ~{A~} and ~{B~}.the algorithm has less computational complexity than the former algorithms,besides good convergen ce properties.Computer simulation results confirms the theoretical analysis and shows the algorithm performance is better than that of former algorithms.
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