冲激噪声环境下基于最大相关熵准则的韧性子空间跟踪新算法

doi:10.3969/j.issn.0372-2112.2015.03.010

电子学报 ›› 2015, Vol. 43 ›› Issue (3): 483-488.DOI: 10.3969/j.issn.0372-2112.2015.03.010

冲激噪声环境下基于最大相关熵准则的韧性子空间跟踪新算法

张金凤^1,2, 邱天爽¹, 李森³

1. 大连理工大学电子信息与电气工程学部, 辽宁大连 116024;
2. 深圳大学深圳市现代通信与信息处理重点实验室, 广东深圳 518060;
3. 大连海事大学信息科学技术学院, 辽宁大连 116026

收稿日期:2013-10-30 修回日期:2014-03-30 出版日期:2015-03-25
- 作者简介:
- 张金凤 女,河北定州人,1979年9月出生,深圳大学讲师,大连理工大学在读博士生.主要研究方向为非高斯信号分析与处理. E-mail:zhangjf@szu.edu.cn;邱天爽 男,江苏海门人,1954年8月生,大连理工大学教授,博士生导师.从事信号信息处理方面的教学科研工作.在国内外学术期刊与会议上发表论文200余篇,曾获教育部科学技术二等奖等多项科技奖励. E-mail:qiutsh@dlut.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61172108,No.61139001,No.61301228); 中央高校基本科研业务费资助项目 (No.3132014212)

A Robust PAST Algorithm Based on Maximum Correntropy Criterion for Impulsive Noise Environments

ZHANG Jin-feng^1,2, QIU Tian-shuang¹, LI Sen³

1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China;
2. Shenzhen Key Lab of Advanced Communications and Information Processing, Shenzhen University, Shenzhen, Guangdong 518060, China;
3. Information Science Technology College, Dalian Maritime University, Dalian, Liaoning 116026, China

Received:2013-10-30 Revised:2014-03-30 Online:2015-03-25 Published:2015-03-25
- Supported by:
- National Natural Science Foundation of China (No.61172108, No.61139001, No.61301228); Fundamental Research Funds for the Central Universities (No.3132014212)

摘要/Abstract

摘要：

本文采用最大相关熵准则(MCC)对投影近似子空间跟踪(PAST)算法中基于最小平方误差(MSE)准则的目标函数进行修正,推导出适用于冲激噪声环境的韧性投影近似子空间跟踪新算法(MCC_PAST算法).对两种冲激噪声模型包括,稳定分布噪声模型和混合高斯噪声模型环境下的时变波达方向估计问题的实验仿真表明,与基于韧性M估计的PAST改进算法(RLM_PAST算法)相比,MCC_PAST算法可以自适应地调整核长,对于阵列接收数据的变化体现出更好的适应性.

关键词: 投影近似子空间跟踪(PAST), 相关熵, 冲激噪声, M估计

Abstract:

By employing the maximum correntropy criterion(MCC)based cost function in projection approximation subspace tracking(PAST)algorithm, we deduce the MCC_PAST algorithm which can be utilized for the projection approximation subspace tracking under impulsive noise environments.We examine the performance of our proposed algorithm in the time-varying DOA(Direction Of Arrival)estimation problem under two types of impulsive noise environments, including the alpha-stable noise environments and the contaminated Gaussian noise environments.By adjusting the kernel parameter adaptively in the algorithm, MCC_PAST exhibits superiority over the robust M-estimate based PAST algorithm, especially when there are sudden changes in the array outputs.

Key words: projection approximation subspace tracking(PAST), correntropy, impulsive noise, M-estimate

中图分类号:

TN911.7

张金凤, 邱天爽, 李森. 冲激噪声环境下基于最大相关熵准则的韧性子空间跟踪新算法[J]. 电子学报, 2015, 43(3): 483-488.

ZHANG Jin-feng, QIU Tian-shuang, LI Sen . A Robust PAST Algorithm Based on Maximum Correntropy Criterion for Impulsive Noise Environments[J]. Acta Electronica Sinica, 2015, 43(3): 483-488.

参考文献

[1] 张贤达.矩阵分析与应用[M].北京:清华大学出版社, 2004. ZHANG Xian-da.Matrix Analysis and Applications[M].Beijing:Tsinghua University Press, 2004.
[2] YANG B.Projection approximation subspace tracking[J].IEEE Transactions on Signal Processing, 1995, 43(1):95-107.
[3] HUBER P J.Robust Statistics[M].New York:Wiley, 1981.
[4] NIKIAS C L, SHAO M.Signal Processing with α-Stable Distribution and Applications[M].New York:John Wiley&Sons, 1995.
[5] CHAN S C, WEN Y, HO K L.A robust PAST algorithm for subspace tracking in impulsive noise[J].IEEE Transactions on Signal Processing, 2006, 54(1):105-115.
[6] 李森, 邱天爽.Alpha稳定分布噪声中的韧性投影近似子空间跟踪算法[J].电子学报, 2009, 37(3):519-522. LI Sen, QIU Tian-shuang.A robust PAST algorithm in alpha stable noise environment[J].Acta Electronica Sinica, 2009, 37(3):519-522.(in Chinese)
[7] SANTAMARIA, POKHAREL P P, PRINCIPE J C.Generalized correlation function:definition, properties, and application to blind equalization[J].IEEE Transactions on Signal Processing, 2006, 54(6):2187-2197.
[8] LIU W F, POKHAREL P P, PRINCIPE J C.Correntropy:properties and applications in non-Gaussian signal processing[J].IEEE Transactions on Signal Processing, 2007, 55(11):5268-5298.
[9] 宋爱民, 邱天爽, 佟祉谏.对称稳定分布的相关熵及其在时间延迟估计上的应用[J].电子与信息学报, 2011, 33(2):494-498. SONG Ai-min, QIU Tian-shuang, TONG Zhi-jian.Correntropy of the symmetric stable distribution and its application to the time delay estimation[J].Journal of Electronics & Information Technology, 2011, 33(2):494-498.(in Chinese)
[10] CHAN S C, ZOU Y X.A recursive least M-estimate algorithm for robust adaptive filtering in impulsive noise:fast algorithm and convergence performance analysis[J].IEEE Transactions on Signal Processing, 2006, 52(4):975-991.
[11] ZHANG X D, LIANG Y C.Prefiltering-based ESPRIT for estimating parameters of sinusoids in non-Gaussian ARMA noise[J].IEEE Transactions on Signal Processing, 1995, 43(1):349-353.

冲激噪声环境下基于最大相关熵准则的韧性子空间跟踪新算法

A Robust PAST Algorithm Based on Maximum Correntropy Criterion for Impulsive Noise Environments

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 6

编辑推荐

Metrics

[1]	沈忱, MIHAYLOVA Lyudmila. 跳变马尔可夫系统的最大混合相关熵状态估计[J]. 电子学报, 2021, 49(11): 2225-2233.
[2]	王鹏, 邱天爽, 金芳晓, 夏楠, 李景春. 脉冲噪声下基于稀疏表示的韧性DOA估计方法[J]. 电子学报, 2018, 46(7): 1537-1544.
[3]	蒋锐, 朱岱寅, 沈明威, 朱兆达. 基于投影近似子空间跟踪技术的自聚焦算法[J]. 电子学报, 2012, 40(6): 1251-1256.
[4]	刘刚;杨杰;汪立新;杜涛. 一种针对线性系统Huber估计的正交搜索算法[J]. 电子学报, 2011, 39(11): 2654-2658.
[5]	李森;. Alpha稳定分布噪声中的韧性投影近似子空间跟踪算法[J]. 电子学报, 2009, 37(3): 519-522.
[6]	胡谋法, 沈燕, 陈曾平. 自适应序贯M估计算法及其性能分析[J]. 电子学报, 2007, 35(9): 1651-1655.