基于MWF的非线性Volterra滤波  

Multistage Wiener Filter Based Nonlinear Volterra Filter

作　　者：姜波[1] 杨军[1] 朱江[1] 张尔扬[1] 

机构地区：[1]国防科技大学电子科学与工程学院,湖南长沙410073

出　　处：《信号处理》2008年第5期867-871,共5页Journal of Signal Processing

摘　　要：结合Volterra滤波的多入单出(MISO)模型,本文将多级维纳滤波(MWF)应用于非线性Volterra滤波,提出三种实现结构及其降秩滤波算法。MWF将期望信号连续投影到正交的低维子空间,利用嵌套的一组标量维纳滤波器实现滤波,避免求解观测矢量的自相关矩阵及其逆;而基于MWF的降秩滤波算法不需要进行计算复杂的特征值分解。结合中继卫星信道的非线性均衡对算法进行仿真,仿真结果表明三种结构均可以很好地收敛;降秩算法在减小运算量的同时,性能接近全秩算法。Associating with the Multiple Input Single Output （MISO） model of Volterra filter, this paper applies the Multistage Wiener Filter （MWF） to nonlinear filter, namely MWF based Nonlinear Volterra Filter （MWF_NVF）. Three implementation structures are proposed,and the corresponding reduced-rank algorithms are described. MWF successively projects the desired signal onto orthogonal,lower dimensional subspaces,and implements the Wiener filter by a nested chain of scalar wiener filters,without the need to calculate the observed-data covariance matrix and its inverse. MWF based reduced-rank algorithms needn＇ t complicated eigenvalue decomposition. Simulations are carried out in the case of nonlinear satellite channel equalization. The results show that all the three structures converge very well;the reduced-rank algorithms are close to full-rank algorithms in performance, and the computation complexity reduces greatly.

关 键 词：自适应Volterra滤波 正交投影 多级维纳滤波器 非线性滤波 

分 类 号：TN929.533[电子电信—通信与信息系统] O175.6[电子电信—信息与通信工程]