Statistical parameters in the dual tree complex wavelet transform domain for the detection of epilepsy and seizure

In this paper, a comprehensive statistical analysis of electroencephalogram (EEG) signals is carried out in the dual tree complex wavelet transform domain using a publicly available EEG database. It is shown that variance and kurtosis can be effective in distinguishing EEG signals at sub-band levels. It is further shown that the parameters of a normal inverse Gaussian probability density function can equally discriminate the EEG signals at sub-band levels. Thus, these statistical quantities may be used to characterize EEG signals and help the researchers in developing improved classifiers for the detection of epilepsy and seizure and building a better understanding of the diverse process of EEG signals.

[1]  Sheng-Fu Liang,et al.  A hierarchical approach for online temporal lobe seizure detection in long-term intracranial EEG recordings , 2013, Journal of neural engineering.

[2]  Richard Baraniuk,et al.  The dual-tree complex wavelet transform , 2005, IEEE Signal Processing Magazine.

[3]  Grega Repovš,et al.  Dealing with Noise in EEG Recording and Data Analysis , 2010 .

[4]  S. M. Shafiul Alam,et al.  Detection of epileptic seizures using chaotic and statistical features in the EMD domain , 2011, 2011 Annual IEEE India Conference.

[5]  K. Prause The Generalized Hyperbolic Model: Estimation, Financial Derivatives, and Risk Measures , 1999 .

[6]  Richard Baraniuk,et al.  The Dual-tree Complex Wavelet Transform , 2007 .

[7]  Sandeep Negi,et al.  Comparative Evaluation of DWT and DT-CWT for Image Fusion and De-noising , 2012 .

[8]  M. N. Shanmukha Swamy,et al.  Model-Based Seizure Detection for Intracranial EEG Recordings , 2012, IEEE Transactions on Biomedical Engineering.

[9]  Dimitrios I. Fotiadis,et al.  Epileptic Seizure Detection in EEGs Using Time–Frequency Analysis , 2009, IEEE Transactions on Information Technology in Biomedicine.

[10]  K Lehnertz,et al.  Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: dependence on recording region and brain state. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Dimitrios I. Fotiadis,et al.  Automatic Seizure Detection Based on Time-Frequency Analysis and Artificial Neural Networks , 2007, Comput. Intell. Neurosci..

[12]  M.N.S. Swamy,et al.  A novel dual-stage classifier for automatic detection of epileptic seizures , 2008, 2008 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[13]  C. Elger,et al.  Epileptic Seizures and Epilepsy: Definitions Proposed by the International League Against Epilepsy (ILAE) and the International Bureau for Epilepsy (IBE) , 2005, Epilepsia.

[14]  Fei Shi,et al.  Video denoising using oriented complex wavelet transforms , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[15]  Hojjat Adeli,et al.  Wavelet-Chaos Methodology for Analysis of EEGs and EEG Sub-Bands , 2010 .

[16]  Ufuk Bal Dual tree complex wavelet transform based denoising of optical microscopy images , 2012, Biomedical optics express.

[17]  O. Barndorff-Nielsen Exponentially decreasing distributions for the logarithm of particle size , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[18]  Cuntai Guan,et al.  Dynamic initiation and dual-tree complex wavelet feature-based classification of motor imagery of swallow EEG signals , 2012, The 2012 International Joint Conference on Neural Networks (IJCNN).

[19]  Mohammed Imamul Hassan Bhuiyan,et al.  Detection of Seizure and Epilepsy Using Higher Order Statistics in the EMD Domain , 2013, IEEE Journal of Biomedical and Health Informatics.

[20]  M. Omair Ahmad,et al.  Spatially adaptive thresholding in wavelet domain for despeckling of ultrasound images , 2009, IET Image Process..

[21]  Dang Khoa Nguyen,et al.  Low-Power Implantable Device for Onset Detection and Subsequent Treatment of Epileptic Seizures: A Review , 2010 .