title: EEG noise cancellation by a subspace method based on wavelet decomposition.
abstract: BACKGROUND
  Noise reduction techniques play an essential role in EEG signal processing applications. A variety of methods are currently in use, including those based on linear filtering and adaptive noise cancellation, as well as subspace-based methods using singular value decomposition (SVD). SVD offers a robust method to decompose the data matrix into signal and noise subspaces. However, the SVD algorithm is characterized by high computational complexity, which restricts its use in real time EEG signal analysis.
  
  
  METHODS
  In this work we applied a wavelet transform to decompose the EEG signal into parallel subsignals. Noise was cancelled using the SVD-based method for each subsignal, and the noiseless EEG was reconstructed by using an inverse wavelet transform. EEGs were recorded in freely behaving rats from two different sites of the brain: 1). the hilar region of the dentate gyrus of the hippocampus, 2). the frontal cortex, with the electrode tip located in the vicinity of the epipial neocortical surface.
  
  
  RESULTS
  Our noise suppression method had the most obvious effect on the EEG frequency spectrum, where random noise was considerably diminished. In the time domain, the reconstructed waveform closely resembled the original EEG signal, but it could clearly be seen that most of the transient spikes had been removed.
  
  
  CONCLUSIONS
  The present method offers remarkable computational savings and is especially well adapted for the analysis of highly dynamic EEGs.
authors.affiliation: Department of Applied Physics, University of Kuopio, Kuopio, Finland. hannu.olkkonen@uku.fi
authors.forename: Hannu
authors.initials: H
authors.lastname: Olkkonen
authors.forename: Peitsa
authors.initials: P
authors.lastname: Pesola
authors.forename: Juuso
authors.initials: J
authors.lastname: Olkkonen
authors.forename: Antti
authors.initials: A
authors.lastname: Valjakka
authors.forename: Leena
authors.initials: L
authors.lastname: Tuomisto
mesh_terms: D000465:Algorithms; D000818:Animals; D001921:Brain / Q000473:pathology; D004569:Electroencephalography / Q000379:methods*; D005625:Frontal Lobe / Q000473:pathology; D006624:Hippocampus / Q000473:pathology; D015233:Models, Statistical; D051381:Rats; D012815:Signal Processing, Computer-Assisted; D012984:Software