【作者】 高鹰； 谢胜利；

【Author】 Gao Ying Xie Shengli The Research Institute of Radio & Automatic Control, South China University of Technology

【机构】 华南理工大学无线电与自动控制研究所；

【摘要】 本文对变步长自适应滤波算法进行了讨论,建立了步长因子μ与误差信号e(n)之间另一种新的非线性函数关系。该函数比文[6]中提出的 Sigmoid函数简单,且在误差e(n)接近零处具有缓慢变化的特性,克服了Sigmoid函数在自适应稳态阶段步长调整过程中的不足。由此函数本文得出了另一种新的变步长自适应滤波算法,并且分析了参数α,β的取值原则及对算法收敛性能的影响。该算法有较好的收敛性能且比文[5][6][7]所提出的算法计算量少。计算机仿真结果与理论分析相一致,证实了该算法的收敛性能优于文[5][6][7]所提出的算法。更多还原

【Abstract】 This paper is to discuss about some algorithms of variable step size LMS adaptive filtering and establish another new non-linear functional relationship between μ and e(n) . The functional relationship is not only simpler than Sigmoid functional relationship referred to [6], it 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 relationship, The author presents the new algorithm of variable step size LMS adaptive filtering and analyze the algorithm with various α and β. The algorithm has less computational complex than the algorithms referred to [5][6][7], Besides good convergence properties. Computer simulation results confirms the theoretical analysis and shows the algorithm performance is better than that of the algorithms referred to [5][6][7].更多还原