Hybrid Fractal-Wavelet Method for Multi-Channel EEG Signal Compression

In this paper, a hybrid method is proposed for multi-channel electroencephalograms (EEG) signal compression. This new method takes advantage of two different compression techniques: fractal and wavelet-based coding. First, an effective decorrelation is performed through the principal component analysis of different channels to efficiently compress the multi-channel EEG data. Then, the decorrelated EEG signal is decomposed using wavelet packet transform (WPT). Finally, fractal encoding is applied to the low frequency coefficients of WPT, and a modified wavelet-based coding is used for coding the remaining high frequency coefficients. This new method provides improved compression results as compared to the wavelet and fractal compression methods.

[1]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[2]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[3]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[4]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[5]  D. E. Goldberg,et al.  Genetic Algorithms in Search, Optimization & Machine Learning , 1989 .

[6]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[7]  G. A. Edgar.  Measure, Topology, and Fractal Geometry , 1990 .

[8]  Keinosuke Fukunaga,et al.  Introduction to statistical pattern recognition (2nd ed.) , 1990 .

[9]  W. Kinsner,et al.  Speech and image signal compression with wavelets , 1993, IEEE WESCANEX 93 Communications, Computers and Power in the Modern Environment - Conference Proceedings.

[10]  B. Torrésani,et al.  Wavelets: Mathematics and Applications , 1994 .

[11]  Farzin Deravi,et al.  Region-based fractal image compression using heuristic search , 1995, IEEE Trans. Image Process..

[12]  R. Ogden,et al.  Essential Wavelets for Statistical Applications and Data Analysis , 1996 .

[13]  Truong Q. Nguyen,et al.  Wavelets and filter banks , 1996 .

[14]  S. Mitra,et al.  Iterative function system and genetic algorithm-based EEG compression. , 1997, Medical engineering & physics.

[15]  P. Tonella,et al.  EEG data compression techniques , 1997, IEEE Transactions on Biomedical Engineering.

[16]  W. Robertson,et al.  Comparing audio compression using wavelets with other audio compression schemes , 1999, Engineering Solutions for the Next Millennium. 1999 IEEE Canadian Conference on Electrical and Computer Engineering (Cat. No.99TH8411).

[17]  S. Welstead.  Fractal and Wavelet Image Compression Techniques , 1999 .

[18]  Jeffrey M. Hausdorff,et al.  Physionet: Components of a New Research Resource for Complex Physiologic Signals". Circu-lation Vol , 2000 .

[19]  Sujit K. Ghosh,et al.  Essential Wavelets for Statistical Applications and Data Analysis , 2001, Technometrics.

[20]  I. Jolliffe.  Principal Component Analysis , 2002 .

[21]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[22]  N. Birbaumer,et al.  BCI2000: a general-purpose brain-computer interface (BCI) system , 2004, IEEE Transactions on Biomedical Engineering.

[23]  Zhikun Hou,et al.  A Wavelet Packet Based Sifting Process and its Application for Structural Health Monitoring , 2005, Proceedings of the 2004 American Control Conference.

[24]  David W. Coit,et al.  Multi-objective optimization using genetic algorithms: A tutorial , 2006, Reliab. Eng. Syst. Saf..

[25]  M. Zuo,et al.  Gearbox fault detection using Hilbert and wavelet packet transform , 2006 .

[26]  Saeid Sanei,et al.  EEG signal processing , 2000, Clinical Neurophysiology.

[27]  C. Eswaran,et al.  An Adaptive Error Modeling Scheme for the Lossless Compression of EEG Signals , 2008, IEEE Transactions on Information Technology in Biomedicine.

[28]  Ali H. Shoeb,et al.  Application of machine learning to epileptic seizure onset detection and treatment , 2009 .

[29]  K. Srinivasan,et al.  Efficient preprocessing technique for real-time lossless EEG compression , 2010 .

[30]  William P. Marnane,et al.  EEG compression using JPEG2000: How much loss is too much? , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.