Analysis of Sunspot Variability Using the Hilbert - Huang Transform

被引:44
作者
Barnhart, Bradley L. [1 ]
Eichinger, William E. [1 ]
机构
[1] Univ Iowa, Iowa City, IA 52240 USA
关键词
Hilbert - Huang transform; Empirical mode decomposition; EMD; Sunspots; EMPIRICAL MODE DECOMPOSITION; TIME-SERIES;
D O I
10.1007/s11207-010-9701-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Hilbert - Huang transform is a relatively new data analysis technique, which is able to analyze the cyclic components of a potentially nonlinear and nonstationary data series. Monthly sunspot number data from 1749 to 2010 were analyzed using this technique, which revealed the different variability inherent in the data including the 11-year (Schwabe), 20-50-year (quasi-Hale) and 60-120-year (Gleissberg) cycles. The results were compared with traditional Fourier analysis. The Hilbert - Huang transform is able to provide a local and adaptive description of the intrinsic cyclic components of sunspot number data, which are nonstationary and which are the result of nonlinear processes.
引用
收藏
页码:439 / 449
页数:11
相关论文
共 12 条
[1]  
Byron F W., 1992, Mathematics of Classical and Quantum Physics
[2]  
Cohen L., 1995, TIME FREQUENCY ANAL
[3]   Empirical mode decomposition as a filter bank [J].
Flandrin, P ;
Rilling, G ;
Gonçalvés, P .
IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (02) :112-114
[4]   The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [J].
Huang, NE ;
Shen, Z ;
Long, SR ;
Wu, MLC ;
Shih, HH ;
Zheng, QN ;
Yen, NC ;
Tung, CC ;
Liu, HH .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1971) :903-995
[5]   Multiple and changing cycles of active stars I. Methods of analysis and application to the solar cycles [J].
Kollath, Z. ;
Olah, K. .
ASTRONOMY & ASTROPHYSICS, 2009, 501 (02) :695-702
[6]   Empirical mode decomposition using rational splines: an application to rainfall time series [J].
Pegram, G. G. S. ;
Peel, M. C. ;
McMahon, T. A. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 464 (2094) :1483-1501
[7]  
Qian S., 2002, INTRO TIME FREQUENCY
[8]   THE GREAT SOLAR ANOMALY C.-1780-1800 - AN ERROR IN COMPILING THE RECORD [J].
SONETT, CP .
JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 1983, 88 (NA4) :3225-3228
[9]   Long-term solar cycle evolution: Review of recent developments [J].
Usoskin, IG ;
Mursula, K .
SOLAR PHYSICS, 2003, 218 (1-2) :319-343
[10]   Enhancement of lidar backscatters signal-to-noise ratio using empirical mode decomposition method [J].
Wu, Songhua ;
Liu, Zhishen ;
Liu, Bingyi .
OPTICS COMMUNICATIONS, 2006, 267 (01) :137-144