Measuring the complexity of time series: An application to neurophysiological signals

Human Brain Mapping

Volumn 11, Issue 1, 2000, Pages 46-57

  Gonzalez Andino, S L ^a   Grave de Peralta Menendez, R ^a   Thut, G ^b   Spinelli, L ^a   Blanke, O ^a   Michel, C M ^b   Landis, T ^a  

^a GENEVA UNIVERSITY HOSPITALS   (Switzerland)

^b UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Complexity; EEG; ERPs; Evoked potentials; Renyi entropy

Indexed keywords

ALGORITHM; ARTICLE; CALCULATION; ELECTROENCEPHALOGRAPHY; EVENT RELATED POTENTIAL; IMAGE ANALYSIS; IMAGE PROCESSING; NEUROPHYSIOLOGY; NEURORADIOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; PRACTICE GUIDELINE; PRIORITY JOURNAL; SIGNAL NOISE RATIO; THEORY;

ALGORITHMS; BRAIN MAPPING; CEREBRAL CORTEX; ELECTRIC STIMULATION; EVOKED POTENTIALS; HUMANS; MAGNETIC RESONANCE IMAGING; NEUROPHYSIOLOGY; SIGNAL PROCESSING, COMPUTER-ASSISTED; TIME FACTORS;

EID: 0033864724     PISSN: 10659471     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0193(200009)11:1<46::AID-HBM40>3.0.CO;2-5     Document Type: Article

References (29)

1. Aftanas LI, Lotova NV, Koshkarov VI, Makhnev VP, Mordvintsev YN, Popov SA (1998): Non-linear dynamic complexity of the human EEG during evoked emotions. Int J Psychophysiol 28(1): 63-76.
2. Auger F, Flandrin A, Goncalves P, Lemoine O (1996): Time Frequency Toolbox for use with Matlab.
3. Baker J, Weisskoff R, Stem C, Kennedy D, Jiang A, Kwong K, Kolodny L, Davis T, Boxerman J, Buchwinder B, Wedeen B, Bellivau J, Rosen B (1994): Statistical assessment of functional MRI signal change. In: Proceedings of the second annual meeting of the society of magnetic resonance, p 626.
4. Bandettini PA, Jesmanowicz A, Wong EC, Hyde JS (1993): Processing strategies for time-course data sets in functional MRI of the human brain. Magn Res Med 30:161-173.
5. Baraniuk RG, Flandrin P, Hansen AJEM, Michel O (submitted): Measuring time frequency information content using the Renyi entropies. Postscript version available at www-dsp. rice.edu/publications.
6. Bodreaux-Bartel GF (1996): Mixed time-frequency signal transformations. In: The transforms and applications handbook (Poularikas, Ed.) pp. 887-963. Boca Raton-CRC Press.
7. Cerutti S, Carrault G, Cluitmans OJ, Kinie A, Lipping T, Nikolaidis N, Pitas I, Signorini MG (1996): Non-linear algorithms for processing biological signals. Comput Methods Programs Biomed 51:51-73.
8. Flandrin P, Baraniuk RG, Michel O (1994): Time frequency complexity and information. Proc IEEE Int Conf Acoust, Speech, Signal Processing-ICASSP'94. III: 329-332.
9. Grave de Peralta Menendez R, Gonzalez Andino SL (1999): Distributed source models: Standard solutions and new developments. In: Uhl C, ed. Analysis of Neurophysiological Brain Functioning. Heidelberg: Springer Verlag.
10. Grave de Peralta Menendez R, Gonzalez Andino SL, Morand S, Michel CM, Landis TM (2000): Imaging the electrical activity of the brain: ELECTRA. Hum Brain Mapp 9(1)1-12.
11. Gersch W (1987): Non-stationary multichannel time series analysis. In: Handbook of Electroencephalography and Clinical Neurophysiology. (Gevins AS, Remond A, eds) Vol. 1., Methods of Analysis of Brain Electrical and Magnetic Signals. Amsterdam-New York-Oxford: Elsevier, p 261-296.
12. Lange N, Zeger SL (1997): Non linear Fourier time series analysis for human brain mapping by functional magnetic resonance imaging. Journal of the Royal Statistical Society. Series C, Applied Statistics, 46(1) p 1-30.
13. Lehnertz K, Elger CE, Weber B, Wieser HG (1997): Neuronal complexity loss in temporal lobe epilepsy: effects of carbamazepine on the dynamics of the epileptogenic focus. Electroencephalogr Clin Neurophysiol 103(3):376-380.
14. Lin Z, Chen JD (1996): Advances in time-frequency analysis of biomedical signals. Crit Rev Biomed Eng 24(1):1-72.
15. Mars NJ, Lopes da Silva FH (1987): EEG analysis methods based on information theory. In: Handbook of Electroencephalography and Clinical Neurophysiology. (Gevins AS, Remond A, eds) Vol. 1., Methods of analysis of Brain Electrical and Magnetic Signals. Amsterdam-New York-Oxford: Elsevier, p 297-307.
16. McGillem CD, Aunon JI (1987): Analysis of event-related potentials. In: Handbook of Electroencephalography and Clinical Neurophysiology. (Gevins AS, Remond A, eds) Vol. 1., Methods of analysis of Brain Electrical and Magnetic Signals. Amsterdam-New York-Oxford: Elsevier, p 131-170.
17. Micheloyannis S, Flitzanis N, Papanikolau E, Bourkas M, Terzakis D, Arvanitis S, Stam CJ (1998): Usefulness of non-linear EEG analysis. Acta Neurol Scand. 97 (1):13-9.
18. Nunes PL (1995): Non linear analysis and chaos. In: Neocortical dynamics and human EEG rhytms. (Nunes PL, ed). New York-Oxford: Oxford University Press. p 417-474.
19. Regan D (1989): Human Brain Electrophysiology. Elsevier.
20. th Berkeley Symp. Math. Stat. and Prob. Vol. 1, p 547-561.
21. Ruttimann UE, Unser M, Rawlings RR, Rio D, Ramsey NF, Mattay VS, Hommer DW (1998): Statistical analysis of functional MRI data in the wavelet domain. IEEE Trans. Medical Imaging, 17(9) p 2555-2558.
22. Shannon CE (1948): A mathematical theory of communication. Part I, Bell Sys Tech J 27:379-423.
23. Tononi G, Sporns O, Edelman GM (1996): A complexity measure for selective matching of signals by the brain. Proc Natl Acad Sci USA. 93(8):3422-7.
24. Unser M, Aldroubi A (1996): A review of wavelets in biomedical applications. Proc IEEE, vol. 84, p 626-638.
25. Wackermann J, Lehmann D, Michel CM (1993): Global dimensional complexity of multichannel EEG indicates change of human brain functional state after single dose of a nootropic drug. Electroenceph Clin Neurophysiol 86:193198.
26. Weber B, Lehnertz K, Elger CE, Wieser HG (1998): Neuronal complexity loss in interictal EEG recorded with foramen ovale electrodes predicts side of primary epileptogenic area in temporal lobe epilepsy: a replication study. Epilepsy, 39(9):922-7.
27. Willians WJ, Brown ML, Hero AO (1991): Uncertainty, information and time-frequency distributions. In: Proc SPIE Int Soc Opt Eng, vol. 1566, p 144-156.
28. Worsley K, Friston K (1995): Analysis of fMRI time series revisited-again. Neuroimage 2:173-181.
29. Xiong J, Gao JH, Lancaster JL, Fox PT (1996): Assessment and optimization of fMRI analysis. Hum Brain Mapp 4:153-167.