EEG Signal Compression by Multi-scale Wavelets and Coherence analysis and denoising by Continuous Wavelets Transform

다중 웨이브렛을 이용한 심전도(EEG) 신호 압축 및 연속 웨이브렛 변환을 이용한 Coherence분석 및 잡음 제거

  • Published : 2004.05.01

Abstract

The Continuous Wavelets Transform project signal f(t) to "Time-scale"plan utilizing the time varied function which called "wavelets". This Transformation permit to analyze scale time dependence of signal f(t) thus the local or global scale properties can be extracted. Moreover, the signal f(t) can be reconstructed stably by utilizing the Inverse Continuous Wavelets Transform. In this paper, the EEG signal is analyzed by wavelets coherence method and the De-noising procedure is represented.

Keywords

References

  1. Candes, E.J. and Donoho, D.J. Curvelets, Multiresolution Representation, and Scaling Laws, Wavelet Applications in Signal and Image Processing VIII, SPIE, 4119 .2000
  2. P.Goupillaud, A Grossman and J.Morlet, 'Cycle octave related transforms ins seismic signal analysis. Geoexporation vol.23, pp.85-102,1984 https://doi.org/10.1016/0016-7142(84)90025-5
  3. Y.MEYER.' Les ondelettes, algorithms et application', Ed. ARMAND COLIN,1994
  4. S.Mallat,' A theory for multiresolution signal decomposition: The wavelets representation' IEEE Transaction on Pattern Analysis and machine Intelligence, No.7, pp.674-693,1989 https://doi.org/10.1109/34.192463
  5. L.Daubechies, 'Orthonormal basis of compactly suffort wavelets' Communication on Pure and Applied Math. Vol.91, pp.909-996, 1988
  6. C.K. CHUI. - 'An introduction to Wavelets' Ed. ACADEMIC PRESS. INC, 1992
  7. B. TORRESSANI-'Analyse Continue par Ondelettes' -Ed. SAVOIRS ACTUELS, Inter-Edition /CNRS Editions, 1995, pp 26-28
  8. F. MUZZY, E. BARCY, A ARENO. -'Wavelets and Multifractals for Singular Signal : Application to Turbulence Data' - Physical Review Letters, Vol. 67, No
  9. J.Kirby, ' Topography and the continuous wavelet transform', Curtin University Technology, Perth, Western Australia, http://www.cage.curtin.edu.au/~jfk/research/agu2001.pdf
  10. Muler, H. M., Weiss, S. & Rappelsberger, P.(1997). EEG coherence analysis of auditory sentence processing. In H. Witte, U. Zwiener, B. Schack and A. Doering (Eds.), Quantitative and Topological EEG and MEG Analysis (pp. 429-431). Jena: Druckhaus Mayer'