西南交通大学学报2011，Vol.46Issue(4)：604-610,7.DOI:10.3969/j.issn.0258-2724.2011.04.013
谐波和间谐波参数估计的新方法
New Estimation Method for Harmonic and Inter-Harmonic Parameters
摘要
Abstract
In order to analyze the effect of noise signals on the estimation of harmonic and inter-harmonic parameters, a new method was proposed on the basis of the essential property of noise information and the several useful strategies including the modern cross-spectrum, total least square, ESPRIT (estimation of signal parameters via rotational invariance) and improved Prony techniques. In this method, the cross-spectrum technique is used to deal with the cross-correlation matrix of different sampled signal sequences, and signal and noise subspaces are identified validly with the help of the independent principle of white noise at different times. And then the frequencies of signal components can be extracted directly by combining the total least square technique with the ESPRIT technique. Finally, based on the estimated frequency of every signal component and the characteristic of zero average value of noise signals, the magnitude and initial phase of the signal components are obtained by using the improved Prony technique. The results show that conditioned upon low signal-to-noise ratio, the proposed method can distinguish more sub-signals and the relative errors of frequencies are less than 0.4% with merely time consumption of 0. 058 s, characterizing a high estimation accuracy and efficiency.关键词
谐波/间谐波/谱分析/总体最小二乘/旋转不变技术/普罗尼法Key words
harmonic/ inter-harmonic/ spectrum analysis/ total least square/ rotational invariance technique/ Prony algorithm分类
信息技术与安全科学引用本文复制引用
刘亚梅,杨洪耕,马超..谐波和间谐波参数估计的新方法[J].西南交通大学学报,2011,46(4):604-610,7.基金项目
国家自然科学基金资助项目(50677041) （50677041）
