Chaos and random fractal theories are among the most important for fully characterizing nonlinear dynamics of complicated multiscale biosignals. Chaos analysis requires that signals be relatively noise-free and stationary, while fractal analysis demands signals to be non-rhythmic and scale-free. To facilitate joint chaos and fractal analysis of biosignals, we report an adaptive multiscale decomposition algorithm, which: (1) can readily remove nonstationarities from the signal, (2) can more effectively reduce noise in the signals than linear filters, wavelet denoising, and chaos-based noise reduction schemes; (3) can readily decompose a multiscale biosignal into a series of intrinsically bandlimited functions; (4) offers a new formulation of fractal and multifractal analysis that is better than the popular detrended fluctuation analysis when a biosignal contains a strong oscillatory component. The effectiveness of the approach is demonstrated by applying it to classify EEGs for the purpose of detecting epileptic seizures.
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ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
October 31–November 2, 2011
Arlington, Virginia, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-5476-1
PROCEEDINGS PAPER
Facilitating Joint Chaos and Fractal Analysis of Biosignals Through Nonlinear Adaptive Filtering
Jianbo Gao,
Jianbo Gao
PMB Intelligence LLC; Wright State University, Dayton, OH
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Wen-wen Tung
Wen-wen Tung
Purdue University, West Lafayette, IN
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Jianbo Gao
PMB Intelligence LLC; Wright State University, Dayton, OH
Jing Hu
Affymetrix, Inc., Santa Clara, CA
Wen-wen Tung
Purdue University, West Lafayette, IN
Paper No:
DSCC2011-6083, pp. 573-577; 5 pages
Published Online:
May 5, 2012
Citation
Gao, J, Hu, J, & Tung, W. "Facilitating Joint Chaos and Fractal Analysis of Biosignals Through Nonlinear Adaptive Filtering." Proceedings of the ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 2. Arlington, Virginia, USA. October 31–November 2, 2011. pp. 573-577. ASME. https://doi.org/10.1115/DSCC2011-6083
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