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一种全解耦的RLS自适应Volterra滤波器 被引量:9

A Fully Decoupled RLS Adaptive Algorithm for Volterra Filters
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摘要 本文研究了Volterra自适应滤波器解耦问题,提出了一种全解耦的RIS自适应Volterra滤波器.按照Volterra滤波器的伪线性组合结构,采用RIS滤波原理和约束优化理论,导出了满足最小累计平方误差指标的具有分块对角形输入相关矩阵的全解耦Volterra标准方程,据此设计了一种全解耦的RLS自适应Volterra滤波器,给出了滤波器权向量自适应修正的一套公式.仿真结果验证了本文方法的有效性. In this paper,the decoupling problem for Volterra adaptive filters is researched, and fully decoupled RLS adaptive Volterra filters is presented. According to the pseudo-linear combination structure of Volterra filters, by applying the principle of RLS filter and constrained optimization theory, a fully decoupled Volterra normal equation with block diagonal input correlation matrix satisfying the minimum cumulative time series error criterion is educed. A fully decoupled RLS adaptive Volterra filter is then designed and a suit of adaptive regulating formulations for the weight vectors of the filter is given out. Simulation results indicate that the proposed method in the paper is efficient.
出处 《电子学报》 EI CAS CSCD 北大核心 2004年第4期687-689,共3页 Acta Electronica Sinica
基金 国家重点基础研究发展规划(973)项目(No.200ICB309403) 国家自然科学基金(No.60304004) 中国博士后基金(No.2003033512)
关键词 非线性系统 VOLTERRA滤波器 自适应滤波 RLS算法 全解耦滤波器 nonlinear system Volterra filters adaptiving filtering RLS algorithm fully decoupled filters
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参考文献6

  • 1V J Mathews.Adaptive polynomial filters [J].IEEE Signal Proc.Magazine,1991,8(3):10-26.
  • 2D W Griffith,G R Arce.Partially decoupled volterra filters:formulation and LMS adaptation [J].IEEE Trans Signal Processing.1997,45(6):1485-1494.
  • 3D W Griffith,G R Arce.Partially decoupled RLS algorithm for Volterra filters [J].IEEE Trans.on Signal Processing.1999,47(2):579-582.
  • 4S Haykin.Adaptive Filter Theory [M].Englewood Cliffs,NJ:Prentice Hall,1991.436-465.
  • 5Kaichiro Takeichi,Toshihiro Furukawa.A parallel fast algorithms of Volterra adaptive filters [J].Circuits and Systems,2002.ISCAS 2002.IEEE International Symposium on,May 2002,Volume:1.26-29(1):I-21-I-24.
  • 6魏瑞轩,韩崇昭.一种全解耦的Volterra自适应滤波器[J].电子学报,2001,29(6):839-841. 被引量:10

二级参考文献1

  • 1Hui L X,博士论文,1998年

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