Optimal step-size of pseudo affine projection algorithm

被引：10
|
作者：
Zhi, Yong-Feng [1 ]
Shang, Fang-Fang [1 ]
Zhang, Jun [1 ]
Wang, Zhen [1 ]
机构：
[1] Northwestern Polytech Univ, Sch Automat, Xian 710072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷
基金：
中国国家自然科学基金;
关键词：
Adaptive filter; Pseudo affine projection (PAP) algorithm; Statistical analysis; Optimal step; size; FAMILY;
D O I：
10.1016/j.amc.2015.09.059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new statistical analysis model is used to analyze the pseudo affine projection (PAP) algorithm with the optimal step-size in this paper. By setting the weight error to be zero in the direction of the adaptive weight update, the optimal step-size is obtained. Two assumptions for the direction vector are proposed, which simplify the analysis of the convergence behavior for the optimal step-size PAP algorithm. Under this condition, deterministic recursive equations for the weight error and for the mean-square error are derived in the direction of the adaptive weight update. Simulation results are provided to corroborate the analytical results. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：82 / 88
页数：7
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