奇数阶累积量的计算优化及其应用

兵工学报 ›› 2006, Vol. 27 ›› Issue (6): 1114-1118.

奇数阶累积量的计算优化及其应用

郭业オ^1,2，赵俊渭²

1．安徽理工大学，安徽淮南232001；2．西北工业大学，陕西西安710072

收稿日期:2006-03-04 上线日期:2014-12-25
通讯作者: 郭业オ
基金资助:
国家自然科学基金资助项目( 60372086)；安徽省自然科学基金资助项目(050420304)；安徽省教育厅自然科学基金 (2005KJ008ZD)

Odd-Order Cumulant Calculation Optimization and Its Application

GUO Ye-cai^1,2, ZHAO Jun-wei²

1. Anhui University of Science and Technology, Huainan 232001, Anhui, China; 2. Northwestern Polytechnicai University, Xi'an 710072, Shaanxi, China

Received:2006-03-04 Online:2014-12-25
Contact: GUO Ye-cai

摘要/Abstract

摘要： 为了用奇数阶累积量提取非线性振动系统的高次频率耦合特征，定义了四次频率耦合、二三对频率耦合等高次耦合新概念，分析了奇数阶累积量特征，研究了奇数阶累积量计算方法与计算量间的关系，提出了奇数阶累积量计算优化算法，该算法将奇数阶累积量的直接估计变为递推估计，将奇数阶累积量的多维运算转化为一维运算，大幅度减小了计算量，在工程上具有可实现性。用由计算优化算法估计的奇数阶累积量构造的自适应谱线增强器，能有效地从高斯噪声环境中恢复或提取四次频率耦合特征、二三对频率耦合特征等高次耦合特征。理论分析与仿真结果验证了算法的有效性。

关键词: 信息处理技术 , 奇数阶累积量 , 高次频率耦合特征 , 计算优化 , 多维运算

Abstract: For extracting higher order frequency coupling feature radiated by actual nonlinear vibration system via odd-oraer cumulants (OOC), quartic frequency coupling and quadratic-to-cubic frequency coupling were firstly defined, OOC features analyzed, the relation between OOC calculation method and its computational load was studied. Based on these researches, OOC calculation optimization algo?rithm with low computation complexity, which can turn OOC direct estimation into its recursive esti?mation and OOC multi-dimension operation into its one dimension operation, was proposed. The 〇OC，which is computed by optimization algorithm, based adaptive line enhancer (OOCBALE) was developed. The OOCBALE can recover or extract quartic frequency coupling feature and quadratic-to- cubic frequency coupling feature etc. in Gaussian noise. Theoretic analysis and simulation result prove the proposed algorithm to be valid.

Key words: information processing , odd-order cumulant , higher order frequency coupling feature , calculation optimization algorithm , multi- dimension operation

中图分类号:

TN911. 72

郭业オ，赵俊渭. 奇数阶累积量的计算优化及其应用[J]. 兵工学报, 2006, 27(6): 1114-1118.

GUO Ye-cai, ZHAO Jun-wei. Odd-Order Cumulant Calculation Optimization and Its Application[J]. Acta Armamentarii, 2006, 27(6): 1114-1118.

参考文献

[1] Richardson A M, hodgkjiss W S. Bispectral analysis of underwa?ter acoustics data[J]. J Acoust Soc Am, 1994，96 (2): 828 — 837.
[2] 樊养余，陶宝祺，熊克.四阶累积量対角切片提取舰船辐射噪声特征[J].声学学报，2002,27(5):435-442.
FAN Yan-yu, TAO Bao-qi, XIONG Ke. Feature extraction of ship radiated noise by fourth-order cumulant diagonal slice [J]. Acta Acustica, 2002，27 ( 5 ) : 435. — 442. (in Chinese)
[3] 樊养余.舰船噪声的高阶统计量特征提取及应用[D].西安: 西北エ业大学，1999.
FAN Yang-yu. Feature extraction of noise irom ships by higher- order statistics and its applications [ D ] . Xi'an: Northwestern Polytechnical University, 1999. (in Chinese)
[4] Lennartsson R K, Robinson J W C, Persson L，et al. Passive sonar signature estimation using bispectral techniques [DB]. 2003- 06-10http： //www. geofys. uu.se/ quake/publications/pub. html.
[5] 张严，王树勋.非线性相位耦合的切片谱分析方法[J].电子学报，1998，26(10) ： 104 一 109.
ZHANG Yan, WAlNG Shu-qing. Slice spectrum analysis method of nonlinear phase coupling[ J] . Acta Electronica Snica, 1998, 26 (10) ： 104 — 109. (in Chinese)
[6] 郭业才.基于高阶统计量的水下目标动态谱特征增强研究 [D].西安:西北エ业大学，2003.
GUO Ye-cai. Research on higher order statistics based underwa?ter moving target dynamic spectrum feature enhancement [ D ]. Xi’an: Northwestern Polytechnical University, 2003. (in Chi?nese)
[7] 郭业才.水下目标辐射平方频率动态耦合信号增强算法[J]. 舰船科学技术，2003,25(5):45-48.
GuO Ye-cai. A special method for retrieving underwater moving target-radiated square frequency dynamic coupling signals [ J ]. Ship Science and Technology, 2003, 25(5):45 - 48. (in Chi?nese)
[8] Aboulnasr T, Zerguine A. Variable weight mixed-norm LMS- LMF adaptive algorithm [ C ]. Proc of Thirty-Third Annual,
Asilomar Conference on Signals, Systems and Computers, Pacifici. Garove, California, 1999： 791 - 794.
[9] Aboulnaaser T, Mayyas K. A robust variable step-size LMS-Type algorithm： Analysis and simulations [ J ]. IEEE Trans on Signal Processing, 1997，45(3) :631 - 639.

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