Time-shift denoising source separation

I present a new method for removing unwanted components from neurophysiological recordings such as magnetoencephalography (MEG), electroencephalography (EEG), or multichannel electrophysiological or optical recordings. A spatiotemporal filter is designed to partition recorded activity into noise and signal components, and the latter are projected back to sensor space to obtain clean data. To obtain the required filter, the original data waveforms are delayed by a series of time delays, and linear combinations are formed based on a criterion such as reproducibility over stimulus repetitions. The time shifts allow the algorithm to automatically synthesize multichannel finite impulse response filters, improving denoising capabilities over static spatial filtering methods. The method is illustrated with synthetic data and real data from several biomagnetometers, for which the raw signal-to-noise ratio of stimulus-evoked components was unfavorable. With this technique, components with power ratios relative to noise as small as 1 part per million can be retrieved.

[1]  Y. Adachi,et al.  Magnetoencephalogram systems developed at KIT , 1999, IEEE Transactions on Applied Superconductivity.

[2]  A. Cichocki Blind Signal Processing Methods for Analyzing Multichannel Brain Signals , 2004 .

[3]  Jonathan Z. Simon,et al.  Denoising based on spatial filtering , 2008, Journal of Neuroscience Methods.

[4]  Jonathan Z. Simon,et al.  Abstract Journal of Neuroscience Methods 165 (2007) 297–305 Denoising based on time-shift PCA , 2007 .

[5]  S. Taulu,et al.  Applications of the signal space separation method , 2005, IEEE Transactions on Signal Processing.

[6]  Harri Valpola,et al.  Denoising Source Separation , 2005, J. Mach. Learn. Res..

[7]  Andreas Ziehe,et al.  Artifact Reduction in Magnetoneurography Based on Time-Delayed Second Order Correlations , 1998 .

[8]  Gen Uehara,et al.  Development of an MCG/MEG system for small animals and its noise reduction method , 2008 .

[9]  Roland Beucker,et al.  Temporal and Spatial Prewhitening of Multi-Channel MEG Data , 1997 .

[10]  S E Robinson,et al.  How many channels are needed for MEG? , 2004, Neurology & clinical neurophysiology : NCN.

[11]  Y. Adachi,et al.  A SQUID System for Measurement of Spinal Cord Evoked Field of Supine Subjects , 2009, IEEE Transactions on Applied Superconductivity.

[12]  K.-R. Muller,et al.  Optimizing Spatial filters for Robust EEG Single-Trial Analysis , 2008, IEEE Signal Processing Magazine.

[13]  Robert Tibshirani,et al.  An Introduction to the Bootstrap , 1994 .

[14]  Kensuke Sekihara,et al.  A novel adaptive beamformer for MEG source reconstruction effective when large background brain activities exist , 2006, IEEE Transactions on Biomedical Engineering.

[15]  Terrence J. Sejnowski,et al.  COMPLEX SPECTRAL-DOMAIN INDEPENDENT COMPONENT ANALYSIS OF ELECTROENCEPHALOGRAPHIC DATA , 2003 .

[16]  R. Ilmoniemi,et al.  Sampling theory for neuromagnetic detector arrays , 1993, IEEE Transactions on Biomedical Engineering.

[17]  Alain de Cheveigné,et al.  Sensor noise suppression , 2008, Journal of Neuroscience Methods.

[18]  Gabriel Curio,et al.  Cardiac artifact subspace identification and elimination in cognitive MEG data using time-delayed decorrelation , 2002, IEEE Transactions on Biomedical Engineering.

[19]  Gen Uehara,et al.  Development of a biomagnetism measurement system for small animals , 2006 .

[20]  Michael S. Lazar,et al.  Spatial patterns underlying population differences in the background EEG , 2005, Brain Topography.

[21]  Fei Xie,et al.  Linear prediction analysis of multichannel speech recordings , 1992 .

[22]  H. Lappalainen Fast Algorithms for Bayesian Independent Component Analysis , 2000 .

[23]  Christian Vasseur,et al.  Filtering by optimal projection and application to automatic artifact removal from EEG , 2007, Signal Process..

[24]  Keinosuke Fukunaga,et al.  Introduction to statistical pattern recognition (2nd ed.) , 1990 .

[25]  Fabian J. Theis,et al.  Denoising using local projective subspace methods , 2006, Neurocomputing.

[26]  Susan A. Murphy,et al.  Monographs on statistics and applied probability , 1990 .

[27]  H. Hotelling Relations Between Two Sets of Variates , 1936 .

[28]  Lucas C. Parra,et al.  Recipes for the linear analysis of EEG , 2005, NeuroImage.

[29]  Wei Lee Woon,et al.  Can we learn anything from single-channel unaveraged MEG data? , 2004, Neural Computing & Applications.

[30]  David Poeppel,et al.  Reconstructing spatio-temporal activities of neural sources from magnetoencephalographic data using a vector beamformer , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[31]  Klaus-Robert Müller,et al.  Combined Optimization of Spatial and Temporal Filters for Improving Brain-Computer Interfacing , 2006, IEEE Transactions on Biomedical Engineering.

[32]  Hans Knutsson,et al.  Exploratory fMRI Analysis by Autocorrelation Maximization , 2002, NeuroImage.

[33]  Jaakko Särelä,et al.  Exploratory source separation in biomedical systems , 2004 .

[34]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[35]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .