电子学报 ›› 2016, Vol. 44 ›› Issue (6): 1389-1393.DOI: 10.3969/j.issn.0372-2112.2016.06.019

• 学术论文 • 上一篇    下一篇

间歇混沌合成1/f噪声的相关特性分析

关健1, 郜峰利1, 张驰1, 曹军胜2, 张振国1, 郭树旭1   

  1. 1. 集成光电子学国家重点联合实验室吉林大学实验区, 吉林大学电子科学与工程学院, 吉林长春 130012;
    2. 中国科学院长春光学精密机械与物理研究所, 吉林长春 130033
  • 收稿日期:2014-12-09 修回日期:2015-01-22 出版日期:2016-06-25 发布日期:2016-06-25
  • 通讯作者: 郜峰利
  • 作者简介:关健 男,1990年7月生,吉林长春人,现为吉林大学电子科学与工程学院研究生,目前主要从事半导体激光器1/f噪声特性研究.E-mail:guanjian14@jlu.edu.cn
  • 基金资助:

    国家自然科学基金青年科学基金(No.61204055);吉林省科技发展计划青年科研基金(No.20130522188JH);吉林省科技发展计划自然科学基金(No.20140101175JC)

Analysis of Correlation Characteristics of 1/f Noise Generated by Intermittency

GUAN Jian1, GAO Feng-li1, ZHANG Chi1, CAO Jun-sheng2, ZHANG Zhen-guo1, GUO Shu-xu1   

  1. 1. State Key Laboratory on Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University, Changchun, Jilin 130012, China;
    2. Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China
  • Received:2014-12-09 Revised:2015-01-22 Online:2016-06-25 Published:2016-06-25

摘要:

本文利用非线性随机微分方程来合成间歇混沌信号,针对该信号表现出的1/f噪声特征,在不同消失矩的小波基下进行相关特性分析.仿真结果发现,在功率谱的中间频段内,该信号的功率谱密度表现出典型的1/f噪声特性,其小波变换系数方差与相应的小波尺度呈对数线性关系;且在该频段内,部分尺度下该间歇性信号的小波变换系数的相关性随小波基的消失矩的增大而减小,在另一部分尺度下该相关性则随着消失矩的增大而增大.实验结果表明,随小波消失矩的增大,并非在所有尺度下小波变换对该间歇性信号均具有去相关作用.论文讨论了小波变换系数的方差和尺度的关系,详细分析了小波变换系数的相关性随小波消失矩的变化趋势.

关键词: 间歇性, 1/f噪声, 小波变换, 相关性

Abstract:

In this paper the nonlinear stochastic differential equation is used to generalize an intermittency signal, and the correlation of its 1/f noise characteristics under the wavelet bases with different vanishing moments are analyzed.The simulation results show that in the middle band of the frequency spectrum, its power spectrum density (PSD) shows typical 1/f noise characteristics, and the relationship of the signal's wavelet transformation coefficient variance and the corresponding wavelet scale is linear under logarithm coordinate.In this frequency band, under some scales the signal's wavelet transformation coefficient correlations decrease with the vanishing moments growing, while in other scales, the correlations increase with the vanishing moment increasement.These results indicate that wavelet transformation does not always bring decorrelation to the intermittency signal.The relationship of the wavelet transformation coefficients' variances and the scale, and the tendency of coefficients' correlations with wavelet vanishing moments changing are analyzed.

Key words: intermittency, 1/f noise, wavelet transformation, correlation

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