Crossing of two mobile averages: A method for measuring the roughness exponent

被引:138
作者
Vandewalle, N [1 ]
Ausloos, M [1 ]
机构
[1] Univ Liege, Inst Phys B5, SUPRAS, B-4000 Liege, Belgium
来源
PHYSICAL REVIEW E | 1998年 / 58卷 / 05期
关键词
D O I
10.1103/PhysRevE.58.6832
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Self-affine signals characterized by a defined Hurst (roughness) exponent H can be investigated through mobile averages. The density rho of crossing points between any two moving averages is a measure of long-range power-law correlations in the signal. The method is compared to the detrended fluctuation analysis. We rake advantage of our findings in order to propose a practically powerful and accurate technique for determining H and apply it right away to cases with persistent or antipersistent correlations. [S1063-651X(98)10411-7].
引用
收藏
页码:6832 / 6834
页数:3
相关论文
共 10 条
[1]   ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS [J].
BOUCHAUD, JP ;
GEORGES, A .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5) :127-293
[2]   SOLUTIONS TO THE SCHRODINGER-EQUATION ON SOME FRACTAL LATTICES [J].
DOMANY, E ;
ALEXANDER, S ;
BENSIMON, D ;
KADANOFF, LP .
PHYSICAL REVIEW B, 1983, 28 (06) :3110-3123
[3]  
ELLINGER AG, 1971, ART INVESTMENT
[4]  
FEDER J, 1988, FRACTALS, P170
[5]   Aging and its distribution in coarsening processes [J].
Frachebourg, L ;
Krapivsky, PL ;
Redner, S .
PHYSICAL REVIEW E, 1997, 55 (06) :6684-6689
[6]  
GOUYET JF, 1992, PHYSIQUE STRUCTURES
[7]  
LABIE E, COMMUNICATION
[8]  
VANDEWALLE N, UNPUB
[9]  
Voss R., 1985, Fundamental algorithms for computer graphics, P805
[10]  
West B. J., 1994, Physics Reports, V246, P1, DOI 10.1016/0370-1573(94)00055-7