GENERATING SURROGATE DATA FOR TIME-SERIES WITH SEVERAL SIMULTANEOUSLY MEASURED VARIABLES

被引:464
作者
PRICHARD, D
THEILER, J
机构
[1] UNIV ALASKA,DEPT PHYS,FAIRBANKS,AK 99775
[2] SANTA FE INST,SANTA FE,NM 87505
[3] LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
[4] LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.73.951
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose an extension to multivariate time series of the phase-randomized Fourier-transform algorithm for generating surrogate data. Such surrogate data sets must mimic not only the autocorrelations of each of the variables in the original data set, they must mimic the cross correlations between all the variables as well. The method is applied both to a simulated example (the three components of the Lorenz equations) and to data from a multichannel electroencephalogram.
引用
收藏
页码:951 / 954
页数:4
相关论文
共 41 条
[1]   LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS - THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA [J].
ABARBANEL, HDI ;
BROWN, R ;
KENNEL, MB .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1991, 5 (09) :1347-1375
[2]  
[Anonymous], NONLINEAR MODEL FORE
[3]  
BOX GEP, 1970, TIME SERIES ANAL FOR
[4]   DISTINGUISHING RANDOM AND DETERMINISTIC SYSTEMS - ABRIDGED VERSION [J].
BROCK, WA .
JOURNAL OF ECONOMIC THEORY, 1986, 40 (01) :168-195
[5]   NONLINEAR PREDICTION OF CHAOTIC TIME-SERIES [J].
CASDAGLI, M .
PHYSICA D, 1989, 35 (03) :335-356
[6]  
CASDAGLI M, 1992, J ROY STAT SOC B MET, V54, P303
[7]  
CUTLER CD, 1993, DIMENSON ESTIMAITON, V1
[8]   A COMPARATIVE-STUDY OF THE EXPERIMENTAL QUANTIFICATION OF DETERMINISTIC CHAOS [J].
DESTEXHE, A ;
SEPULCHRE, JA ;
BABLOYANTZ, A .
PHYSICS LETTERS A, 1988, 132 (2-3) :101-106
[9]   TAKENS VERSUS MULTICHANNEL RECONSTRUCTION IN EEG CORRELATION EXPONENT ESTIMATES [J].
DVORAK, I .
PHYSICS LETTERS A, 1990, 151 (05) :225-233
[10]   LIAPUNOV EXPONENTS FROM TIME-SERIES [J].
ECKMANN, JP ;
KAMPHORST, SO ;
RUELLE, D ;
CILIBERTO, S .
PHYSICAL REVIEW A, 1986, 34 (06) :4971-4979