基于MF-DFA的极低频瞬态事件多重分形分析

姜苏; 张其林; 黄凯丽; 陈媛; 苏建峰; 秦微

doi:10.11728/cjss2015.03.324

基于MF-DFA的极低频瞬态事件多重分形分析

doi: 10.11728/cjss2015.03.324 cstr: 32142.14.cjss2015.03.324

姜苏^1,2,
张其林^1,2,
黄凯丽^1,2,
陈媛^1,2,
苏建峰^1,2,
秦微^1,2

1.
南京信息工程大学气象灾害预报预警与评估协同中心中国气象局气溶胶与云降水重点开放实验室南京 210044
2.
南京信息工程大学大气物理学院南京 210044

基金项目: 国家自然科学基金项目(40975002)和江苏高校优势学科建设工程项目(PAPD)共同资助

详细信息

中图分类号: P467
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出版历程
- 收稿日期: 2014-07-30
- 修回日期: 2015-03-24
- 刊出日期: 2015-05-15

Multifractal Analysis of ELF Transient Events Based on MF-DFA

JIANG Su^1,2,
ZHANG Qilin^1,2,
HUANG Kaili^1,2,
CHEN Yuan^1,2,
SU Jianfeng^1,2,
QIN Wei^1,2

1.
Key Laboratory for Aerosol-Cloud-Precipitation of China Meteorological Administration, Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science and Technology, Nanjing 210044
2.
College of Atmospheric Physics, Nanjing University of Information Science and Technology, Nanjing 210044

摘要

摘要: 利用三个测站实测极低频全球闪电活动背景信号南北及东西方向磁场分量资料, 应用多重分形方法对极低频瞬态事件发生时前1s背景信号中的长程关联性及多重分形特征进行了分析. 发现极低频瞬态事件发生时, 最大脉冲前1s背景信号南北及东西方向磁场均具有长程关联性和多重分形特征. 其中南北方向最小标度指数0.15 < a_min< 0.22, 分形谱宽度1.09 < Δa < 1.51; 东西方向最小标度指数0.23 < a_min< 0.59, 分形谱宽度0.75 < Δa < 0.99. 多重分形谱参数Δa和a_min可以很好地自动识别Q-burst发生.
- 多重分形 /
- Q-burst /
- 去势涨落分析 /
- 分形谱
Abstract: In this paper, the magnetic field components totally continued 10 seconds using measured ELF global lightning activity background signal. The measuring signal sensor includes a pair of horizontal antenna which are orthogonal to each other and a spherical antenna with vertical placement. The horizontal antenna is for receiving ELF horizontal magnetic (HNS, HEW) signal of north-south and east-west directions, while the vertical antenna is for receiving ELF vertical electric field signal. By using the magnetic field component in both north-south and east-west direction of the observational extremely low frequency background signal of global lightning activity, and based on MF-DFA (Multifractal Detrended Fluctuation Analysis) multiple fractal method to analyze the long range correlation and multiple fractal characteristic of the background signal one second before the Q-burst occurs. Then, it is found that the magnetic field in the north-south, east-west direction of the maximum impulse one second before the Q-burst occurs has a long range correlation and multiple fractal characteristics. Among them, the minimum scaling exponent of the north-south direction is 0.15 < a_min < 0.22, fractal spectrum width is 1.09 < Δa < 1.51; the minimum scaling exponent of the east-west direction is 0.23 < a_min < 0.59, fractal spectrum width is 0.75 < Δa < 0.99. The multiple fractal spectrum parameters Δa, a_min can automatically identify the occurrence of Q-burst excellently.
- Multifractal /
- Q-burst /
- Castration fluctuation analysis /
- Fractal spectrum

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参考文献(18)

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