Segmentation and tracking of the electro-encephalogram signal using an adaptive recursive bandpass filter

An adaptive filtering approach for the segmentation and tracking of electro-encephalogram (EEG) signal waves is described. In this approach, an adaptive recursive bandpass filter is employed for estimating and tracking the centre frequency associated with each EEG wave. The main advantage inherent in the approach is that the employed adaptive filter has only one unknown coefficient to be updated. This coefficient, having an absolute value less than 1, represents an efficient distinct feature for each EEG specific wave, and its time function reflects the non-stationarity behaviour of the EEG signal. Therefore the proposed approach is simple and accurarate in comparison with existing multivariate adaptive approaches. The approach is examined using extensive computer simulations. It is applied to computer-generated EEG signals composed of different waves. The adaptive filter coefficient (i.e. the segmentation parameter) is −0.492 for the delta wave, −0.360 for the theta wave, −0.191 for the alpha wave, −0.027 for the sigma wave, 0.138 for the beta wave and 0.605 for the gamma wave. This implies that the segmentation parameter increases with the increase in the centre frequency of the EEG waves, which provides fast on-line information about the behaviour of the EEG signal. The approach is also applied to real-world EEG data for the detection of sleep spindles.

[1]  Katarzyna J. Blinowska,et al.  Non-linear and linear forecasting of the EEG time series , 1991, Biological Cybernetics.

[2]  Hualou Liang,et al.  Short-window spectral analysis of cortical event-related potentials by adaptive multivariate autoregressive modeling: data preprocessing, model validation, and variability assessment , 2000, Biological Cybernetics.

[3]  H.C. de Graaff,et al.  Extension of the collector charge description for compact bipolar epilayer models , 1995, ESSDERC '95: Proceedings of the 25th European Solid State Device Research Conference.

[4]  Lennart Ljung,et al.  Analysis of recursive stochastic algorithms , 1977 .

[5]  S.M. Kay,et al.  Spectrum analysis—A modern perspective , 1981, Proceedings of the IEEE.

[6]  A. V. Ferris-Prabhu,et al.  Parameters for optimization of device productivity at wafer level , 1992 .

[7]  C.W. Anderson,et al.  Multivariate autoregressive models for classification of spontaneous electroencephalographic signals during mental tasks , 1998, IEEE Transactions on Biomedical Engineering.

[8]  R.V. Raja Kumar,et al.  A gradient algorithm for center-frequency adaptive recursive bandpass filters , 1985, Proceedings of the IEEE.

[9]  Xuan Kong,et al.  Quantification of injury-related EEG signal changes using distance measures , 1999, IEEE Transactions on Biomedical Engineering.

[10]  Yoon Ho Choi,et al.  The prediction of EEG signals using a feedback-structured adaptive rational function filter , 2000, Biological Cybernetics.

[11]  J. J. Wright,et al.  Autoregression models of EEG , 2004, Biological Cybernetics.

[12]  Ernst Fernando Lopes Da Silva Niedermeyer,et al.  Electroencephalography, basic principles, clinical applications, and related fields , 1982 .

[13]  L. Blair A prediction. , 1995, Hospitals & health networks.

[14]  J. Bronzino,et al.  Bispectral analysis of the rat EEG during various vigilance states , 1989, IEEE Transactions on Biomedical Engineering.

[15]  Hirokazu Ikeda,et al.  Design and performance of semi-custom analog IC including two TACs and two current integrators for 'Super-Kamiokande' , 1989 .

[16]  Tamer Basar,et al.  Analysis of Recursive Stochastic Algorithms , 2001 .

[17]  Ratnam V. Raja Kumar,et al.  Tracking of bandpass signals using center-frequency adaptive filters , 1990, IEEE Trans. Acoust. Speech Signal Process..

[18]  I. Gath,et al.  Segmentation of EEG during sleep using time-varying autoregressive modeling , 2006, Biological Cybernetics.

[19]  Roman Rosipal,et al.  Can Ica Improve Sleep-spindles Detection ? , .

[20]  C. Braun,et al.  Adaptive AR modeling of nonstationary time series by means of Kalman filtering , 1998, IEEE Transactions on Biomedical Engineering.

[21]  Satoru Goto,et al.  On-line spectral estimation of nonstationary time series based on AR model parameter estimation and order selection with a forgetting factor , 1995, IEEE Trans. Signal Process..

[22]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[23]  I. Gath,et al.  On the tracking of rapid dynamic changes in seizure EEG , 1992, IEEE Transactions on Biomedical Engineering.

[24]  R. V. Raja Kumar,et al.  Recursive center-frequency adaptive filters for the enhancement of bandpass signals , 1986, IEEE Trans. Acoust. Speech Signal Process..