Feasibility of real-time calculation of correlation integral derived statistics applied to EEG time series

Physica D: Nonlinear Phenomena

Volumn 203, Issue 3-4, 2005, Pages 198-208

  Van Den Broek, Philip L C ^a   Van Egmond, Jan ^a   Van Rijn, Clementina M ^a   Takens, Floris ^b   Coenen, Anton M L ^a   Booij, Leo H D J ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Anesthetic depth; Chaos; EEG; Monitoring; Nonlinear; Time series analysis

Indexed keywords

ALGORITHMS; ANESTHETICS; CORRELATION METHODS; MONITORING; NONLINEAR SYSTEMS; REAL TIME SYSTEMS; STATISTICAL METHODS; TIME SERIES ANALYSIS;

ANESTHETIC-DEPTH; COMPUTATION SPEED; CORRELATION DIMENSIONS (CD); NONLINEAR;

ELECTROENCEPHALOGRAPHY;

EID: 18144408781     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.03.012     Document Type: Article

References (19)

1. F. Takens Detecting strange attractors in turbulence Lect. Notes Math. 898 1981 366 381
2. P. Grassberger, and I. Procaccia Measuring the strangeness of strange attractors Physica D 9 1983 189 208
3. J.D. Farmer, E. Ott, and J.A. Yorke The dimension of chaotic attractors Physica D 7 1983 153 180
4. J.E. Skinner, M. Molnar, and C. Tomberg The point correlation dimension: performance with nonstationarity surrogate data and noise Integr. Physiol. Behav. Sci. 29 3 1994 217 234
5. B.P.T. Hoekstra, C.G.H. Diks, M.A. Allessie, and J. DeGoede Nonlinear analysis of the pharmacological conversion of sustained atrial fibrillation in conscious goats by the class IC drug cibenzoline Chaos 7 1997 430 446
6. B.P.T. Hoekstra, C.G.H. Diks, M.A. Allessie, and J. DeGoede Nonlinear analysis of epicardial atrial electrograms of electrically induced atrial fibrillation in man J. Cardiovasc. Electrophysiol. 6 1995 419 440
7. G. Widman, T. Schreiber, B. Rehberg, A. Hoeft, and C.E. Elger Quantification of depth of anesthesia by nonlinear time series analysis of brain electrical activity Phys. Rev. E 62 2000 4898 4903
8. J. Theiler Spurious dimension from correlation algorithms applied to limited time-series data Phys. Rev. A 34 1986 2427 2432
9. P. Grassberger An optimized box-assisted algorithm for fractal dimensions Phys. Lett. A. 148 1990 63 68
10. G. Widman, K. Lehnertz, P. Jansen, W. Meyer, W. Burr, and C.E. Elger A fast general purpose algorithm for the computation of auto- and cross-correlation integrals from single channel data Physica D 121 1998 65 74
11. C. Besthorn, H. Sattel, R. Geiger-Kabisch, R. Zerfass, and H. Forstl Parameters of EEG dimensional complexity in Alzheimer's disease Electroencephalogr. Clin. Neurophysiol. 95 1995 84 89
12. W. Liebert, and H.G. Schuster Proper choice of the time delay for the analysis of chaotic time series Phys. Lett. A. 142 1989 107 111
13. W. Liebert, K. Pawelzik, and H.G. Schuster Optimal embeddings of chaotic attractors from topological considerations Europhys. Lett. 14 6 1991 521 526
14. A.M. Fraser, and H.L. Swinney Independent coordinates for strange attractors from mutual information Phys. Rev. A 33 1986 1134 1140
15. M.T. Rosenstein, J.J. Collins, and C.J. De-Luca Reconstruction expansion as a geometry-based feamework for choosing proper delay times Physica D 73 1994 82 98
16. A.M. Albano, A.I. Mees, G.C. Guzman, and P.E. Rapp Data requirements for reliable estimation of correlation dimensions H. Degn A. Holden L. Olsen Chaos in Biological Systems 1987 Plenum Press New York 207 220
17. W. Hoeffding A class of statistics with asymptotically normal distribution Ann. Math. Statist. 19 1948 293 325
18. M. Ding, C. Grebogi, E. Ott, T. Sauer, and J.A. Yorke Estimating correlation dimension from a chaotic time series: when does plateau onset occur? Physica D 69 1993 404 424
19. J.E. Skinner, and M. Molnar Event-related dimensional reductions in the primary auditory cortex of the conscious cat are revealed by new techniques for enhancing the non-linear dimensional algorithms Int. J. Psychophysiol. 34 1999 21 35