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一种全解耦的RLS自适应Volterra滤波器
引用本文:孔祥玉,韩崇昭,魏瑞轩,马红光.一种全解耦的RLS自适应Volterra滤波器[J].电子学报,2004,32(4):687-689.
作者姓名:孔祥玉  韩崇昭  魏瑞轩  马红光
作者单位:1. 西安交通大学电子与信息工程学院,陕西西安,710049
2. 空军工程大学工程学院,陕西西安,710038
基金项目:国家重点基础研究发展计划(973计划),国家自然科学基金,中国博士后科学基金
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RLS自适应Volterra滤波器.按照Volterra滤波器的伪线性组合结构,采用RLS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.

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
文章编号:0372-2112(2004)04-0687-03
修稿时间:2002年9月15日

A Fully Decoupled RLS Adaptive Algorithm for Volterra Filters
KONG Xiang-yu,HAN Chong-zhao,WEI Rui-xuan,MA Hong-guang.A Fully Decoupled RLS Adaptive Algorithm for Volterra Filters[J].Acta Electronica Sinica,2004,32(4):687-689.
Authors:KONG Xiang-yu  HAN Chong-zhao  WEI Rui-xuan  MA Hong-guang
Abstract: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.
Keywords:nonlinear system  Volterra filters  adaptiving filtering  RLS algorithm  fully decoupled filters
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