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奇数阶累积量的计算优化及其应用
引用本文:郭业才,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.
作者姓名:郭业才  赵俊渭
作者单位:1.安徽理工大学,安徽淮南232001;2.西北工业大学,陕西西安710072
基金项目:国家自然科学基金资助项目(603720186);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)
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  
文章编号:1000-1093(2006)06-1114-05
收稿时间:2006-03-04
修稿时间:2006-03-04

Odd-Order Cumulant Calculation Optimization and Its Application
GUO Ye-cai,ZHAO Jun-wei.Odd-Order Cumulant Calculation Optimization and Its Application[J].Acta Armamentarii,2006,27(6):1114-1118.
Authors:GUO Ye-cai  ZHAO Jun-wei
Affiliation:1. Anhui University of Science and Technology, Huainan 232001, Anhui, China; 2. Northwestern Polytechnicai University, Xi'an 710072, Shaanxi, China
Abstract:For extracting higher order frequency coupling feature radiated by actual nonlinear vibration system via odd-order 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 algorithm with low computation complexity,which can turn OOC direct estimation into its recursive estimation and OOC multi-dimension operation into its one dimension operation,was proposed.The OOC,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.
Keywords:information processing  odd-order cumulant  higher order frequency coupling feature  calculation optimization algorithm  multi-dimension operation
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