A comparison of estimators for 1/f noise

被引:101
作者
Pilgram, B
Kaplan, DT
机构
[1] Macalester Coll, Dept Math & Comp Sci, St Paul, MN 55105 USA
[2] Graz Univ, Inst Math, A-8010 Graz, Austria
[3] McGill Univ, Ctr Nonlinear Dynam, Montreal, PQ H3G 1Y6, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
noise; noise parameter estimation; noise generation;
D O I
10.1016/S0167-2789(97)00188-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We use a Monte-Carlo approach to investigate the performance of five different time-series estimators of the exponent alpha in 1/f(alpha) noise. We find that a maximum-likelihood estimator is markedly superior to Fourier regression methods and Hurst exponent methods. The results indicate that useful estimates of alpha can be made from time series that are much shorter than generally presumed. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:108 / 122
页数:15
相关论文
共 26 条
[1]  
BASSINGHTHWAIGH.JB, 1994, FRACTAL PHYSL, P78
[2]   EVALUATING RESCALED RANGE ANALYSIS FOR TIME-SERIES [J].
BASSINGTHWAIGHTE, JB ;
RAYMOND, GM .
ANNALS OF BIOMEDICAL ENGINEERING, 1994, 22 (04) :432-444
[3]   EVALUATION OF THE DISPERSIONAL ANALYSIS METHOD FOR FRACTAL TIME-SERIES [J].
BASSINGTHWAIGHTE, JB ;
RAYMOND, GM .
ANNALS OF BIOMEDICAL ENGINEERING, 1995, 23 (04) :491-505
[4]  
Beran J, 1994, STAT LONG MEMORY PRO
[5]   FRACTAL FEATURE ANALYSIS AND CLASSIFICATION IN MEDICAL IMAGING [J].
CHEN, CC ;
DAPONTE, JS ;
FOX, MD .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 1989, 8 (02) :133-142
[6]   MAXIMUM-LIKELIHOOD-ESTIMATION OF THE PARAMETERS OF DISCRETE FRACTIONALLY DIFFERENCED GAUSSIAN-NOISE PROCESS [J].
DERICHE, M ;
TEWFIK, AH .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (10) :2977-2990
[7]  
Granger C. W. J., 1980, Journal of Time Series Analysis, V1, P15, DOI 10.1111/j.1467-9892.1980.tb00297.x
[8]   MODELING PERSISTENCE IN HYDROLOGICAL TIME-SERIES USING FRACTIONAL DIFFERENCING [J].
HOSKING, JRM .
WATER RESOURCES RESEARCH, 1984, 20 (12) :1898-1908
[9]  
HOSKING JRM, 1981, BIOMETRIKA, V68, P165, DOI 10.1093/biomet/68.1.165
[10]  
HURST HE, 1951, T AM SOC CIV ENG, V116, P770