An Adaptive Radial Basis Function Neural Network Filter for Noise Reduction in Biomedical Recordings

Electroencephalogram (EEG) recordings often experience interference by different kinds of noise, including white, muscle and baseline, severely limiting its utility. Artificial neural networks (ANNs) are effective and powerful tools for removing interference from EEGs. Several methods have been developed, but ANNs appear to be the most effective for reducing muscle and baseline contamination, especially when the contamination is greater in amplitude than the brain signal. An ANN as a filter for EEG recordings is proposed in this paper, developing a novel framework for investigating and comparing the relative performance of an ANN incorporating real EEG recordings. This method is based on a higher-order statistics-based radial basis function (RBF) network. This ANN improves the results obtained with the conventional EEG filtering techniques: wavelet, singular value decomposition, principal component analysis, adaptive filtering and independent components analysis. Average results for the RBF-based method provided a noise reduction (SIR) of (mean$$\pm $$± SD) $$\mathrm{SIR}=19.3\pm 0.3$$SIR=19.3±0.3 in contrast to traditional compared methods that, for the best case, yielded $$\mathrm{SIR}=15.2\pm 0.3$$SIR=15.2±0.3. The system has been evaluated within a wide range of EEG signals. The present study introduces a new method of reducing all EEG interference signals in one step with low EEG distortion and high noise reduction.

[1]  Chong Jin Ong,et al.  Automatic EEG Artifact Removal: A Weighted Support Vector Machine Approach With Error Correction , 2009, IEEE Transactions on Biomedical Engineering.

[2]  Christopher J. James,et al.  Employing spatially constrained ICA and wavelet denoising, for automatic removal of artifacts from multichannel EEG data , 2012, Signal Process..

[3]  Wei Li,et al.  A Non-Linear Blind Source Separation Method Based on Perceptron Structure and Conjugate Gradient Algorithm , 2014, Circuits Syst. Signal Process..

[4]  C Jutten,et al.  Model-based Bayesian filtering of cardiac contaminants from biomedical recordings , 2008, Physiological measurement.

[5]  M.N.S. Swamy,et al.  An improved voice activity detection using higher order statistics , 2005, IEEE Transactions on Speech and Audio Processing.

[6]  Alberto J. Palma,et al.  Efficient wavelet-based ECG processing for single-lead FHR extraction , 2013, Digit. Signal Process..

[7]  S. Dandapat,et al.  ECG signal denoising using higher order statistics in Wavelet subbands , 2010, Biomed. Signal Process. Control..

[8]  Martin D. Buhmann,et al.  Radial Basis Functions: Theory and Implementations: Preface , 2003 .

[9]  M. Ramasubba Reddy,et al.  A transform domain SVD filter for suppression of muscle noise artefacts in exercise ECG's , 2000, IEEE Transactions on Biomedical Engineering.

[10]  Jeff H. Duyn,et al.  Statistical feature extraction for artifact removal from concurrent fMRI-EEG recordings , 2012, NeuroImage.

[11]  M. P. S. Chawla,et al.  A comparative analysis of principal component and independent component techniques for electrocardiograms , 2009, Neural Computing and Applications.

[12]  Martin D. Buhmann,et al.  Radial Basis Functions , 2021, Encyclopedia of Mathematical Geosciences.

[13]  Christopher M. Bishop,et al.  Neural networks for pattern recognition , 1995 .

[14]  Simon Haykin,et al.  Neural Networks and Learning Machines , 2010 .

[15]  V. John Mathews,et al.  A stable adaptive Hammerstein filter employing partial orthogonalization of the input signals , 2006, IEEE Trans. Signal Process..

[16]  Michel J. A. M. van Putten,et al.  Reduction of TMS Induced Artifacts in EEG Using Principal Component Analysis , 2013 .

[17]  Daniel P. Ferris,et al.  Removal of movement artifact from high-density EEG recorded during walking and running. , 2010, Journal of neurophysiology.

[18]  Frank W. Sharbrough,et al.  Use of Principal Component Analysis in the Frequency Domain for Mapping Electroencephalographic Activities: Comparison with Phase‐Encoded Fourier Spectral Analysis , 2004, Brain Topography.

[19]  Bor-Shyh Lin,et al.  Enhancing Bowel Sounds by Using a Higher Order Statistics-Based Radial Basis Function Network , 2013, IEEE Journal of Biomedical and Health Informatics.

[20]  Rajan Chattamvelli,et al.  Statistics for Scientists and Engineers: Shanmugam/Statistics for Scientists and Engineers , 2015 .

[21]  Boualem Boashash,et al.  Wavelet Denoising Based on the MAP Estimation Using the BKF Prior With Application to Images and EEG Signals , 2013, IEEE Transactions on Signal Processing.

[22]  D. Lehmann,et al.  Functional imaging with low-resolution brain electromagnetic tomography (LORETA): a review. , 2002, Methods and findings in experimental and clinical pharmacology.

[23]  Feng Ding,et al.  Highly Efficient Identification Methods for Dual-Rate Hammerstein Systems , 2015, IEEE Transactions on Control Systems Technology.

[24]  Jun Huang,et al.  Trajectory Switching Control of Robotic Manipulators Based on RBF Neural Networks , 2013, Circuits, Systems, and Signal Processing.

[25]  Murad S. Taqqu,et al.  Wiener Chaos: Moments, Cumulants and Diagrams: A Survey with Computer Implementation , 2014 .

[26]  Tricia J. Willink Efficient Adaptive SVD Algorithm for MIMO Applications , 2008, IEEE Transactions on Signal Processing.

[27]  A. M. Torres,et al.  An efficient method for ECG beat classification and correction of ectopic beats , 2016, Comput. Electr. Eng..

[28]  Daniel Graupe,et al.  Principles of Artificial Neural Networks , 2018, Advanced Series in Circuits and Systems.

[29]  Yue-Dar Jou,et al.  Neural Network-Based IIR All-Pass Filter Design , 2014, Circuits Syst. Signal Process..

[30]  Yi Qu,et al.  Fault Tolerant Control for Non-Gaussian Stochastic Distribution Systems , 2013, Circuits Syst. Signal Process..

[31]  Umit Aydin,et al.  A Kalman filter-based approach to reduce the effects of geometric errors and the measurement noise in the inverse ECG problem , 2011, Medical & Biological Engineering & Computing.

[32]  Lan-Da Van,et al.  Energy-Efficient FastICA Implementation for Biomedical Signal Separation , 2011, IEEE Transactions on Neural Networks.

[33]  Mario Sansone,et al.  Adaptive removal of gradients-induced artefacts on ECG in MRI: a performance analysis of RLS filtering , 2010, Medical & Biological Engineering & Computing.

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

[35]  Yunfeng Wu,et al.  Filtering electrocardiographic signals using an unbiased and normalized adaptive noise reduction system. , 2009, Medical engineering & physics.

[36]  A. M. Torres,et al.  Eye Movement Artefact Suppression Using Volterra Filter for Electroencephalography Signals , 2015 .

[37]  Lyle H. Ungar,et al.  Using radial basis functions to approximate a function and its error bounds , 1992, IEEE Trans. Neural Networks.

[38]  Murad S. Taqqu,et al.  Wiener chaos: moments, cumulants and diagrams , 2011 .

[39]  James J. Carroll,et al.  Approximation of nonlinear systems with radial basis function neural networks , 2001, IEEE Trans. Neural Networks.

[40]  Christian Jutten,et al.  A Nonlinear Bayesian Filtering Framework for ECG Denoising , 2007, IEEE Transactions on Biomedical Engineering.

[41]  Laurent Peyrodie,et al.  Improvements of Adaptive Filtering by Optimal Projection to filter different artifact types on long duration EEG recordings , 2012, Comput. Methods Programs Biomed..

[42]  S. Luo,et al.  A review of electrocardiogram filtering. , 2010, Journal of electrocardiology.

[43]  C. L. Nikias,et al.  Higher-order spectra analysis : a nonlinear signal processing framework , 1993 .

[44]  R. Komanduri,et al.  Nonlinear adaptive wavelet analysis of electrocardiogram signals. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[45]  M. P. S. Chawla,et al.  PCA and ICA processing methods for removal of artifacts and noise in electrocardiograms: A survey and comparison , 2011, Appl. Soft Comput..

[46]  E. H. Lloyd,et al.  Statistics for Scientists and Engineers. , 1966 .

[47]  Rik Vullings,et al.  An Adaptive Kalman Filter for ECG Signal Enhancement , 2011, IEEE Transactions on Biomedical Engineering.

[48]  A. M. Torres,et al.  Cancellation of Powerline Interference from Biomedical Signals Using an Improved Affine Projection Algorithm , 2015, Circuits Syst. Signal Process..

[49]  Abdulhamit Subasi,et al.  Effect of Multiscale PCA De-noising in ECG Beat Classification for Diagnosis of Cardiovascular Diseases , 2015, Circuits Syst. Signal Process..

[50]  Simon Haykin,et al.  Adaptive filter theory (2nd ed.) , 1991 .

[51]  Bor-Shing Lin,et al.  Higher-Order-Statistics-Based Radial Basis Function Networks for Signal Enhancement , 2007, IEEE Transactions on Neural Networks.

[52]  Junshui Ma,et al.  Muscle artifacts in multichannel EEG: Characteristics and reduction , 2012, Clinical Neurophysiology.

[53]  Hugo Vélez-Pérez,et al.  Blind source separation, wavelet denoising and discriminant analysis for EEG artefacts and noise cancelling , 2012, Biomed. Signal Process. Control..

[54]  R. Ward,et al.  EMG and EOG artifacts in brain computer interface systems: A survey , 2007, Clinical Neurophysiology.

[55]  Scott D. Sudhoff,et al.  Self-Organizing Radial Basis Function Network for Real-Time Approximation of Continuous-Time Dynamical Systems , 2008, IEEE Transactions on Neural Networks.