一种全解耦的Volterra自适应滤波器

A Fully Decoupled Volterra Adaptive Filter

本文研究了Volterra自适应滤波的解耦问题 .通过对Volterra滤波器的伪线性组合结构的提出和分析 ,得到了一个新的关于均方误差MSE的表达式 ,并将Volterra自适应滤波问题描述为一个约束优化问题 ,从而导出了满足最小均方误差 (MMSE)指标的具有分块对角型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Volterra自适应滤波器 ,给出了滤波器权向量的自适应修正公式 .

The decoupling problem for Volterra adaptive filter is discussed in this paper.By proposing and analyzing the pseudo linear combination structure of Volterra filter,a new MSE(mean square error) expression can be obtained.Because the Volterra adaptive filter problem can be described as a constrained optimization one,a fully decoupled Volterra normal equation with block diagonal input correlation matrix satisfying the MMSE(minimum mean square error) criterion is educed.Then a fully decoupled Volterra filter is designed and the adaptive regulating formulation for the weight vectors of the filter is given out.Simulation results indicate that the proposed method in this paper is efficient.