Facilitating joint chaos and fractal analysis of biosignals through nonlinear adaptive filtering

PLoS ONE

Volumn 6, Issue 9, 2011, Pages

  Gao, Jianbo ^a,b   Hu, Jing ^c   Tung, Wen wen ^d  

^a PMB Intelligence LLC   (United States)

^b Wright State University   (United States)

^c Thermo Fisher Scientific   (United States)

^d PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ALGORITHM; ANALYTIC METHOD; ARTICLE; BIOLOGY; BIOSIGNAL; CHAOS THEORY; FILTRATION; FRACTAL ANALYSIS; LINEAR SYSTEM; NOISE REDUCTION; NONLINEAR SYSTEM; OSCILLATION; SIGNAL NOISE RATIO; ANIMAL; ELECTROENCEPHALOGRAPHY; EPILEPSY; HUMAN; PATHOPHYSIOLOGY; SIGNAL PROCESSING;

ALGORITHMS; ANIMALS; ELECTROENCEPHALOGRAPHY; EPILEPSY; FRACTALS; HUMANS; NONLINEAR DYNAMICS; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 80052437426     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0024331     Document Type: Article

References (34)

1. Gao JB, Cao YH, Tung WW, Hu J, (2007) Multiscale Analysis of Complex Time Series - Integration of Chaos and Random Fractal Theory, and Beyond. Wiley Interscience, New York.
2. Kantz H, Schreiber T, (2004) Nonlinear Time Series Analysis Cambridge University Press, 2nd edition.
3. Kodba S, Perc M, Marhl M, (2005) Detecting chaos from a time series. Eur J Phys 26: 205-215.
4. Perc M, (2005) The dynamics of human gait. Eur J Phys 26: 525-534.
5. Perc M, (2005) Nonlinear time series analysis of the human electrocardiogram. Eur J Phys 26: 757-768.
6. Cleveland WS, (1979) Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association 74: 829-836.
7. Gao JB, Sultan H, Hu J, Tung WW, (2010) Denoising nonlinear time series by adaptive filtering and wavelet shrinkage: a comparison. IEEE Signal Processing Letters 17: 237-240.
8. Tung WW, Gao JB, Hu J, Yang L, (2011) Recovering chaotic signals in heavy noise environments. Phys Rev E 83: 046210.
9. Press WH, (1978) Flicker noises in astronomy and elsewhere. Comments on Astrophysics 7: 103-119.
10. Bak P, (1996) How Nature Works: the Science of Self-Organized Criticality. Copernicus.
11. Wornell GM, (1996) Signal processing with fractals: a wavelet-based approach. Prentice Hall.
12. Leland WE, Taqqu MS, Willinger W, Wilson DV, (1994) On the self-similar nature of Ethernet traffic (extended version). IEEE/ACM Trans. on Networking 2: 1-15.
13. Li W, Kaneko K, (1992) Long-range correlation and partial 1/f-alpha spectrum in a noncoding DNA-sequence. Europhys Lett 17: 655-660.
14. Gilden DL, Thornton T, Mallon MW, (1995) 1/f noise in human cognition. Science 267: 1837-1839.
15. Chen Y, Ding M, Kelso JAS, (1997) Long memory processes (1/f alpha Type) in human coordination. Phys Rev Lett 79: 4501-4504.
16. Collins JJ, De Luca CJ, (1994) Random walking during quiet standing. Phys Rev Lett 73: 764-767.
17. Billock VA, (2000) Neural acclimation to 1/f spatial frequency spectra in natural images transduced by the human visual system. Physica D 137: 379-391.
18. Billock VA, de Guzman GC, Kelso JAS, (2001) Fractal time and 1/f spectra in dynamic images and human vision. Physica D 148: 136-146.
19. Wolf M, (1997) 1/f noise in the distribution of prime numbers. Physica A 241: 493-499.
20. Gao JB, Cao YH, Lee JM, (2003) Principal Component Analysis of 1/f Noise. Phys Lett A 314: 392-400.
21. Gao JB, Billock VA, Merk I, Tung WW, White KD, et al. (2006) Inertia and memory in ambiguous visual perception. Cognitive Processing 7: 105-112.
22. Furstenau N, (2010) A nonlinear dynamics model for simulating long range correlations of cognitive bistability. Biological Cybernetics 103: 175-198.
23. Gao JB, Hu J, Tung WW, Cao YH, Sarshar N, et al. (2006) Assessment of long range correlation in time series: How to avoid pitfalls. Phys Rev E 73: 016117.
24. Peng CK, Buldyrev SV, Havlin S, Simons M, Stanley HE, et al. (1994) Mosaic Organization of DNA Nucleotides. Phys Rev E 49: 1685-1689.
25. Hwa RC, Ferree TC, (2002) Scaling properties of fluctuations in the human electroencephalogram. Phys Rev E 66: 021901.
26. Robinson PA, (2003) Interpretation of scaling properties of electroencephalographic fluctuations via spectral analysis and underlying physiology. Phys Rev E 67: 032902.
27. Hu J, Gao JB, Posner FL, Zheng Y, Tung WW, (2006) Target detection within sea clutter: a comparative study by fractal scaling analyses. Fractals 14: 187-204.
28. Hu J, Tung WW, Gao JB, (2006) Detection of low observable targets within sea clutter by structure function based multifractal analysis. IEEE Trans Antennas & Propagation 54: 135-143.
29. Hu J, Gao JB, Wang XS, (2009) Multifractal analysis of sunspot time series: the effects of the 11-year cycle and Fourier truncation. J Stat Mech P02066: 1-20.
30. Movahed MS, Jafari GR, Ghasemi F, Rahvar S, Tabar MRR, (2006) Multifractal detrended fluctuation analysis of sunspot time series. J Stat Mech P02003: 1-17.
31. Zhou Y, Leung Y, (2010) Empirical mode decomposition and long-range correlation analysis of sunspot time series. J Stat Mech P12006: 1-24.
32. Adeli H, Ghosh-Dastidar S, Dadmehr N, (2007) A Wavelet-Chaos Methodology for Analysis of EEGs and EEG Subbands to Detect Seizure and Epilepsy. IEEE Trans Biomedical Eng 54: 205-211.
33. Andrzejak RG, Lehnertz K, Rieke C, Mormann F, David P, et al. (2001) Indications of nonlinear deterministic and finite dimensional structures in time series of brain electrical activity: Dependence on recording region and brain state. Phys Rev E 64: 061907.
34. Gao JB, Hu J, Tung WW, (2011) Complexity measures of brain wave dynamics. Cogn Neurodyn 5: 171-182.