Modeling of evoked potentials of electroencephalograms: An overview

Digital Signal Processing: A Review Journal

Volumn 17, Issue 3, 2007, Pages 665-674

  Murali, S ^a   Kulish, V Vladimir ^b  

^a SINGAPORE INSTITUTE OF MANUFACTURING TECHNOLOGY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

EEG; Evoked potential; Fast Fourier transform; Fractal dimension; Spectral analysis

Indexed keywords

BIOELECTRIC POTENTIALS; BRAIN; ELECTROMAGNETIC WAVES; FAST FOURIER TRANSFORMS; FRACTAL DIMENSION; SPECTRUM ANALYSIS; TIME SERIES ANALYSIS; WAVELET TRANSFORMS;

BRAIN WAVES; MATHEMATICAL TOOLS; PERIODIC AMPLITUDE ANALYSIS (PAA);

ELECTROENCEPHALOGRAPHY;

EID: 34047253031     PISSN: 10512004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dsp.2006.09.004     Document Type: Article

References (41)

1. John S.B., and Bradford A. The Electroencephalogram: Its Pattern and Origins (1993), MIT Press, London
2. Alexander V.K., and Tan U. Validity of spectral analysis of evoked potentials in brain research. Int. J. Neurosci. 112 (2002) 489-499
3. Guyton A.C. Textbook of Medical Physiology. eighth ed. (1991), Saunders, Philadelphia
4. Trujillo L.T., Peterson M.A., Kaszniak A.W., and Allen J.J.B. EEG phase synchrony differences across visual perception conditions may depend on recording and analysis methods. Clin. Neurophysiol. 116 (2005) 172-189
5. S. Murali, Fractal and FFT power spectra analysis of human electro-encephalograms (brain waves) for six different odors, M.Sc. dissertation, Nanyang Technological University, Singapore, 2005
6. Vickers N.J., Christensen T.A., Baker T.C., and Hildebrand J.G. Odor-plume dynamics influence the brain's olfactory code. Nature 410 (2001) 466-470
7. Yang Y., and Freeman W.J. Model of biological pattern recognition with spatially chaotic dynamics. Neur. Net. 3 2 (1990) 153-170
8. Duchamp-Viret P., Chaput M.A., and Duchamp A. Odor response properties of rat olfactory receptor neurons. Science 284 (1999) 2171-2174
9. Kensaku M., Nagao H., and Yoshihiro Y. The olfactory bulb: Coding and processing of odor molecule information. Science 286 (1999) 711-715
10. Wilson R.I., Turner G.C., and Gilles L. Transformation of olfactory representations in the drosophila antennal lobe. Science 303 (2004) 366-370
11. J. Wang, Z.A. Luthey-Schulten, K.S. Suslick, Is the olfactory receptor a metalloprotein, Proc. Nat. Acad. Sci. 2003
12. Sanjit K.M. Digital Signal Processing: A Computer Based Approach. second ed. (2002), McGraw-Hill, New York
13. Ferree T.C., and Hwa R.C. Power-law scaling in human EEG: Relation to Fourier power spectrum. Neurocomput. 52-54 (2003) 755-761
14. Blanke O., Lantz G., Seeck M., Spinelli L., de Peralta, Thut R.G., Landis T., and Michel C.M. Temporal and spatial determination of EEG-seizure onset in the frequency domain. Clin. Neurophysiol. 111 (2000) 763-772
15. Braga N.I.O., Manzano G.M., and Nóbrega J.A.M. Quantitative analysis of EEG background activity in patients with rolandic spikes. Clin. Neurophysiol. 111 (2000) 1643-1645
16. Hadjiyannakis K., Ogilvie R.D., Alloway C.E.D., and Shapiro C. FFT analysis of EEG during stage 2 to REM transitions in narcoleptic patients and normal sleepers. Electroenc. Clin. Neurophysiol. 103 (1997) 543-553
17. Muthuswamy J., and Thakor N.V. Spectral analysis methods for neurological signals. J. Neurosci. Method. 83 (1998) 1-14
18. Blanco S., Quiroga R.Q., Rosso O.A., and Kochen S. Time-frequency analysis of electroencephalogram series. Phys. Rev. E 51 3 (1995) 2624-2631
19. S. Murali, V.V. Kulish, Fractal and FFT spectra analysis of EEGs with odor inhalation, Int. J. Neurosci. (2006), in press
20. Sidney B.C., Gopinath R.A., and Guo H. Introduction to Wavelets and Wavelet Transforms (1998), Prentice-Hall, Englewood Cliffs, NJ
21. Akin M. Comparison of wavelet transform and FFT methods in the analysis of EEG signals. J. Med. Syst. 26 3 (2002) 241-247
22. Latka M., and Was Z. Wavelet analysis of epileptic spikes. Phys. Rev. E 67 (2003) 1-4 052902
23. Uchida S., Feinberg I., March J.D., Atsumi Y., and Maloney T. A comparison of period amplitude analysis and FFT power spectral analysis of all-night human sleep EEG. Physiol. Behav. 67 1 (1999) 121-131
24. Liebovitch L.S. Fractals and Chaos Simplified for the Life Sciences (1998), Oxford Univ. Press, New York
25. Hastin H.M., and Sugihara G. Fractals: A User's Guide for the Natural Sciences (2002), Oxford Univ. Press, Oxford
26. Schroeder M.R. Fractals, Chaos, Power Laws (1991), Freeman, New York pp. 203-224
27. Wornell G.W. Signal Processing with Fractals: A Wavelet Based Approach (1996), Prentice Hall, Englewood Cliffs, NJ
28. Moon F.C. Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers (1992), Wiley, New York pp. 325-340
29. Pereda E., Gamundi A., Rial R., and Gonzalez J. Non-linear behavior of human EEG: Fractal exponent versus correlation dimension in awake and sleep stages. Neurosci. Lett. 250 (1998) 91-94
30. Arle J.E., and Richard H.S. An application of fractal dimension to the detection of transients in the electroencephalogram. Electroenc. Clin. Neurophysiol. 75 4 (1990) 296-305
31. Bullmore E.T., Brammer M.J., Alarcon G., and Binnie C. A new technique for fractal analysis applied to human, intracerebrally recorded, ictal electroencephalographic signals. Neurosci. Lett. 146 2 (1992) 227-230
32. Woyshville M.J., and Calabrese J.R. Quantification of occipital EEG changes in Alzheimer's disease utilizing a new metric: The fractal dimension. Biol. Psychol. 35 6 (1994) 381-387
33. Bullmore E.T., Brammer M.J., Bourlon P., Alarcon G., Polkey C.E., Elwes R., and Binnie C.D. Fractal analysis of electroencephalographic signals intracerebrally recorded during 35 epileptic seizures: Evaluation of a new method for synoptic visualization of ictal events. Electroenc. Clin. Neurophysiol. 91 5 (1994) 337-345
34. Bullmore E.T., Brammer M.J., Alarcon G., and Binnie C.D. Synoptic visualization of brain electrical activity during a cluster of 11 epileptic seizures. In: Novak M.M. (Ed). Fractals in the Natural and Applied Sciences: IFIP Tansactions A-41 (1994), North-Holland, Amsterdam 69-80
35. Gangadhar B., Subbakrishna N.D., Janakiramaiah K.N., Motreja S.D., Dutt N., and Paramehwara G. Post-seizure EEG fractal dimension of first ECT predicts antidepressant response at two weeks. J. Affect Disord. 52 (1999) 235-238
36. Klonowski W. Chaotic dynamics applied to signal complexity in phase space and in time domain. Chao Soliton Fractal. 14 (2002) 1379-1387
37. Watters A.P., and Frances M. A method for estimating long-range power law correlations from the electroencephalogram. Biol. Psychol. 66 (2004) 79-89
38. Accardo A., Affinito M., Carrozzi M., and Bouquet F. Use of the fractal dimension for the analysis of electroencephalographic time series. Biol. Cyber. 77 (1997) 339-350
39. Jing H., and Takigawa M. Topographic analysis of dimension estimates of EEG and filtered rhythms in epileptic patients with complex partial seizures. Biol. Cyber. 83 (2000) 391-397
40. Kulish V.V., Sourin A., and Sourina O. Human electroencephalograms seen as fractal time series: Mathematical analysis and visualization. Comp. Biol. Med. 36 (2006) 291-302
41. Thakor N.V., and Tong S. Advances in quantitative electroencephalogram analysis methods. Annu. Rev. Biomed. Eng. 6 (2004) 453-495