title: Low-probability event-detection and separation via statistical wavelet thresholding: an application to psychophysiological denoising.
abstract: OBJECTIVE
  The aim of this paper is to introduce and test a general, wavelet-based method for the automatic removal of noise and artefact from psychophysiological data.
  
  
  METHODS
  Statistical wavelet thresholding (SWT) performs blind source separation by transforming data to the wavelet domain, and subsequent filtering of wavelet coefficients based on a statistical framework. The observed wavelet coefficients are modelled using a Gaussian distribution, from which low-probability outliers are attenuated based on their z-scores.
  
  
  RESULTS
  The technique was applied to both simulated and real event-related potentials (ERP) data. SWT applied to artificial data displayed increased signal-to-noise ratio (SNR) improvements as noise amplitude increased. ERP averages of filtered experimental data displayed a correlation of 0.93 with operator-filtered data, compared with a correlation of 0.56 for unfiltered data. The energy of operator-designated contaminated trials was attenuated by a factor of 7.46 relative to uncontaminated trials. SNR improvement was observed in simulated tests.
  
  
  CONCLUSIONS
  Variations of SWT may be useful in situations where one wishes to separate uncommon/uncharacteristic structures from time series data sets. For artefact removal applications, SWT appears to be a valid alternative to expert operator screening.
authors.affiliation: School of Applied Psychology, Griffith University, QLD 4122, Mt Gravatt, Australia. matthew.browne@gmd.gr.jp
authors.forename: M
authors.initials: M
authors.lastname: Browne
authors.forename: T R H
authors.initials: TR
authors.lastname: Cutmore
mesh_terms: D016477:Artifacts; D002986:Clinical Trials as Topic / Q000706:statistics & numerical data; D003198:Computer Simulation; D004560:Electricity / Q000009:adverse effects; D004569:Electroencephalography / Q000379:methods* / Q000592:standards; D004576:Electromyography / Q000379:methods* / Q000592:standards; D005071:Evoked Potentials / Q000502:physiology*; D005074:Evoked Potentials, Visual / Q000502:physiology; D005133:Eye Movements / Q000502:physiology; D006801:Humans; D011603:Psychophysiology / Q000379:methods*; D015203:Reproducibility of Results; D012815:Signal Processing, Computer-Assisted