Automatic denoising of single-trial evoked potentials

We present an automatic denoising method based on the wavelet transform to obtain single trial evoked potentials. The method is based on the inter- and intra-scale variability of the wavelet coefficients and their deviations from baseline values. The performance of the method is tested with simulated event related potentials (ERPs) and with real visual and auditory ERPs. For the simulated data the presented method gives a significant improvement in the observation of single trial ERPs as well as in the estimation of their amplitudes and latencies, in comparison with a standard denoising technique (Donoho's thresholding) and in comparison with the noisy single trials. For the real data, the proposed method largely filters the spontaneous EEG activity, thus helping the identification of single trial visual and auditory ERPs. The proposed method provides a simple, automatic and fast tool that allows the study of single trial responses and their correlations with behavior.

[1]  D. Donoho.  Wavelet Shrinkage and W.V.D.: A 10-minute tour , 1997 .

[2]  J. P. C. de Weerd,et al.  A posteriori time-varying filtering of averaged evoked potentials , 1981, Biological Cybernetics.

[3]  R.Quian Quiroga,et al.  Obtaining single stimulus evoked potentials with wavelet denoising , 2000, nlin/0006027.

[4]  R Quian Quiroga,et al.  Habituation and sensitization in rat auditory evoked potentials: a single-trial analysis with wavelet denoising. , 2002, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[5]  R Quian Quiroga,et al.  Wavelet Transform in the analysis of the frequency composition of evoked potentials. , 2001, Brain research. Brain research protocols.

[6]  R. Quian Quiroga,et al.  Single-trial event-related potentials with wavelet denoising , 2003, Clinical Neurophysiology.

[7]  N. Galloway,et al.  Evoked Potentials , 1987 .

[8]  B. Silverman,et al.  Incorporating Information on Neighboring Coefficients Into Wavelet Estimation , 2001 .

[9]  K. Squires,et al.  Long latency event-related components of the auditory evoked potential in dementia. , 1978, Brain : a journal of neurology.

[10]  R. Quian Quiroga,et al.  What can we learn from single-trial event-related potentials? , 2007 .

[11]  I. Johnstone,et al.  Threshold selection for wavelet shrinkage of noisy data , 1994, Proceedings of 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[12]  N. Thakor,et al.  Multiresolution wavelet analysis of evoked potentials , 1993, IEEE Transactions on Biomedical Engineering.

[13]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[14]  David A. Leopold,et al.  Single-trial evoked potential estimation using wavelets , 2007, Comput. Biol. Medicine.

[15]  H. E. Hanrahan.  Extraction of Features in Auditory Brainstem Response (ABR) Signals , 1990, IEEE South African Symposium on Communications and Signal Processing.

[16]  I. Daubechies.  Orthonormal bases of compactly supported wavelets , 1988 .

[17]  D. O. Walter.  A posteriori "Wiener filtering" of average evoked responses. , 1968, Electroencephalography and clinical neurophysiology.

[18]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[19]  Tom Eichele,et al.  Tracking pattern learning with single-trial event-related potentials , 2006, Clinical Neurophysiology.

[20]  I. Johnstone,et al.  Wavelet Threshold Estimators for Data with Correlated Noise , 1997 .

[21]  F. H. Lopes da Silva,et al.  Event-related potentials: methodology and quantification , 1998 .

[22]  R. Quian Quiroga,et al.  Expectancy effects on omission evoked potentials in musicians and non-musicians. , 2005, Psychophysiology.

[23]  C. Koch,et al.  Invariant visual representation by single neurons in the human brain , 2005, Nature.

[24]  Kenneth Hugdahl,et al.  Assessing the spatiotemporal evolution of neuronal activation with single-trial event-related potentials and functional MRI. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[25]  S. Luck.  An Introduction to the Event-Related Potential Technique , 2005 .

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

[27]  R. Quian Quiroga,et al.  Precise timing accounts for posttraining sleep-dependent enhancements of the auditory mismatch negativity , 2005, NeuroImage.

[28]  Jerome M. Shapiro,et al.  Embedded image coding using zerotrees of wavelet coefficients , 1993, IEEE Trans. Signal Process..

[29]  K Lehnertz,et al.  Time adaptive denoising of single trial event-related potentials in the wavelet domain. , 2000, Psychophysiology.

[30]  J. D. de Weerd,et al.  A posteriori time-varying filtering of averaged evoked potentials. I. Introduction and conceptual basis. , 1981, Biological cybernetics.

[31]  D. Regan.  Human brain electrophysiology: Evoked potentials and evoked magnetic fields in science and medicine , 1989 .

[32]  Vasil Kolev,et al.  A new metric for analyzing single-trial event-related potentials (ERPs): application to human visual P300 delta response , 1995, Neuroscience Letters.

[33]  K. Lehnertz,et al.  Single trial analysis of event related potentials: non-linear de-noising with wavelets , 2000, Clinical Neurophysiology.

[34]  I. Daubechies,et al.  Biorthogonal bases of compactly supported wavelets , 1992 .

[35]  Michael Unser,et al.  On the asymptotic convergence of B-spline wavelets to Gabor functions , 1992, IEEE Trans. Inf. Theory.

[36]  Fernando Lopes da Silva,et al.  Comprar Niedermeyer's Electroencephalography, 6/e (Basic Principles, Clinical Applications, and Related Fields ) | Fernando Lopes Da Silva | 9780781789424 | Lippincott Williams & Wilkins , 2010 .

[37]  C. Koch,et al.  Sparse but not ‘Grandmother-cell’ coding in the medial temporal lobe , 2008, Trends in Cognitive Sciences.

[38]  S. Mallat.  A wavelet tour of signal processing , 1998 .

[39]  Gen Matsumoto,et al.  Entorhinal inputs to dentate gyrus are activated mainly by conditioned events with long time intervals , 2003, Hippocampus.

[40]  G. Dawson.  A summation technique for the detection of small evoked potentials. , 1954, Electroencephalography and clinical neurophysiology.

[41]  Yves Meyer,et al.  Wavelets and Applications , 1992 .

[42]  J. Webster.  Encyclopedia of Medical Devices and Instrumentation , 1988 .

[43]  A.H. Tewfik,et al.  Correlation structure of the discrete wavelet coefficients of fractional Brownian motion , 1992, IEEE Trans. Inf. Theory.

[44]  R. Quian Quiroga,et al.  Habituation and sensitization in rat auditory evoked potentials: a single-trial analysis with wavelet denoising , 2002 .

[45]  Walter Do.  A posteriori "Wiener filtering" of average evoked responses. , 1968 .

[46]  Piotr J. Durka,et al.  Single evoked potential reconstruction by means of wavelet transform , 2004, Biological Cybernetics.

[47]  M Schürmann,et al.  Functions and sources of event-related EEG alpha oscillations studied with the Wavelet Transform , 1999, Clinical Neurophysiology.

[48]  J. P. C. de Weerd,et al.  A posteriori time-varying filtering of averaged evoked potentials , 1981, Biological Cybernetics.