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Single-Trial Evoked Potentials: Wavelet Denoising

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Imaging Brain Function With EEG

Abstract

Evoked potentials are typically very small in comparison with the ongoing electroencephalogram and, consequently, they are hardly visible in the individual trials. As discussed in Sect. 1.6, to improve the visualization of the evoked responses, it is a common practice to average several presentations of the same stimulus. Then, the ongoing EEG activity cancels out and the amplitude of the evoked potentials relative to the background EEG increases proportional to the square root of the number of trials. From the average responses, it is possible to identify evoked components, whose amplitudes, latencies, and topographies have been correlated with different sensory and cognitive functions (Regan 1989; Niedermeyer and Lopes da Silva 1993; Quian Quiroga 2006).

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Notes

  1. 1.

    A simple implementation of the method in Matlab as well as tutorials, help files, and sample data sets can be obtained from www.le.ac.uk/neuroengineering.

References

  • Atienza M, Cantero JL, Stickgold R (2004) Posttraining sleep enhances automaticity in perceptual discrimination. J Cogn Neurosci 16:53–64

    Article  PubMed  Google Scholar 

  • Atienza M, Cantero JL, Quian Quiroga R (2005) Precise timing accounts for posttraining sleep-dependent enhancements of the auditory mismatch negativity. Neuroimage 26:628–634

    Article  PubMed  CAS  Google Scholar 

  • Bartnik EA, Blinowska KJ, Durka PJ (1992) Single evoked potential reconstruction by means of wavelet transform. Biol Cybern 67:175–181

    Article  PubMed  CAS  Google Scholar 

  • Başar E (1980) EEG-Brain dynamics. Relation between EEG and brain evoked potentials. Elsevier, Amsterdam

    Google Scholar 

  • Bertrand O, Bohorquez J, Pernier J (1994) Time-frequency digital filtering based on an invertible wavelet transform: an application to evoked potentials. IEEE Trans Biomed Eng 41:77–88

    Article  PubMed  CAS  Google Scholar 

  • Brandt M, Jansen B, Carbonari J (1991) Pre-stimulus spectral EEG patterns and the visual evoked response. Electroen Clin Neurophysiol 80:16–20

    Article  CAS  Google Scholar 

  • Croft RJ, Gonsalvez CJ, Gabriel C, Barry RJ (2003) Target-to-target interval versus probability effects on P300 in one- and two- tone tasks. Psychophysiol 40:322–328

    Article  CAS  Google Scholar 

  • Lopes da Silva F (1993) EEG Analysis: Theory and Practice. In: Niedermeyer E, Lopes da Silva F (eds) Electroencephalography: Basic principles, clinical applications and related fields. Williams and Wilkins, Baltimore, pp 1097–1123

    Google Scholar 

  • De Bruin NMWJ, Ellenbroek BA, Cools AR, Coenen AML, van Schaijk WJ, van Luijtelaar ELJM (2001) Sensory gating of auditory evoked potentials in rats: effects of interstimulus interval and repetitive stimulation. Biol Psychol 55:195–213

    Article  PubMed  Google Scholar 

  • Donchin E (1981) Presidential address, 1980 Surprise!…Surprise? Psychophysiol 18:493–513

    Article  CAS  Google Scholar 

  • Doyle DJ (1975) Some comments on the use of Wiener filtering for the estimation of evoked potentials. Electr Clin Neurophysiol 38:533–534

    Article  CAS  Google Scholar 

  • Duncan-Johnson C, Donchin E (1977) On quantifying surprise: The variation in event-related potentials with subjective probability. Psychophysiology 14:456–467

    Article  PubMed  CAS  Google Scholar 

  • Effern A, Lehnertz K, Grunwald T, Fernandez G, David P, Elger CE (2000a) Time adaptative denoising of single trial event-related potentials in the wavelet domain. Psychophysiol 37:859–865

    Article  CAS  Google Scholar 

  • Effern A, Lehnertz K, Fernandez G, Grunwald T, David P, Elger CE (2000b) Single trial analysis of event related potentials: non-linear de-noising with wavelets. Clin Neurophysiol 111:2255–2263

    Article  PubMed  CAS  Google Scholar 

  • Eichele T, Specht K, Moosmann M, Jongsma M, Quian Quiroga R, Nordby H, Hugdahl K (2005) Assessing the spatio-temporal evolution of neuronal activation with single-trial ERP-fMRI. Proc Nat Acad Sci USA 102:17798–17803

    Article  PubMed  CAS  Google Scholar 

  • Fitzgerald PG, Picton TW (1981) Temporal and sequential probability in Evoked Potential studies. Can J Psychol 35:188–200

    Article  PubMed  CAS  Google Scholar 

  • Gonsalvez CJ, Polich J (2002) P300 amplitude is determined by target-to-target interval. Psychophysiol 39:388–396

    Article  Google Scholar 

  • Gonsalvez CJ, Gordon E, Anderson J, Pettigrew G, Barry RJ, Rennie C, Meares R (1995) Numbers of preceding nontargets differentially affect responses to targets in normal volunteers and patients with schizophrenia: a study of event-related potentials. Psychiat Res 58:69–75

    Article  CAS  Google Scholar 

  • Groves P, Thompson R (1970) Habituation: A dual-process theory. Psychol Rev 77:419–450

    Article  PubMed  CAS  Google Scholar 

  • Jentzsch I, Sommer W (2001) Sequence-sensitive subcomponents of P300: Topographical analyses and dipole source localization. Psychophysiol 38:607–621

    Article  CAS  Google Scholar 

  • Jongsma M, van Rijn C, Quian Quiroga R, Schijk W, Dirksen R, Coenen A (2000) Influence of the power spectrum of the pre-stimulus EEG on the consecutive auditory evoked potential in rats. In Lehnertz K, Elger CE, Arnhold J, Grassberger P (eds) Chaos in Brain? World Scientific. Singapore

    Google Scholar 

  • Jongsma MLA, Eichele T, Quian Quiroga R, Jenks KM, Desain P, Honing H, van Rijn CM (2005) The effect of expectancy on omission evoked potentials (OEPs) in musicians and non-musicians. Psychophysiol 42:191–201

    Article  Google Scholar 

  • Jongsma M, Eichele T, van Rijn C, Coenen A, Hugdahl K, Nordby H, Quian Quiroga R (2006) Tracking pattern learning with single-trial even-related potentials. Clin Neurophysiol 117:1957–1973

    Article  PubMed  Google Scholar 

  • Näätänen R (1992) Attention and Brain Function. Hillslade. Erlbaum, NJ

    Google Scholar 

  • Niedermeyer E, Lopes da Silva F (eds) (1993) Electroencephalography: basic principles, clinical applications and related fields. Williams and Wilkins, Baltimore, pp 1097–1123

    Google Scholar 

  • Picton TW (1992) The P300 wave of the human event-related potential. J Clin Neurophysiol 9:456–479

    Article  PubMed  CAS  Google Scholar 

  • Polich J, Kok A (1995) Cognitive and biological determinants of P300: an integrative review. Biol Psychol 41:103–146

    Article  PubMed  CAS  Google Scholar 

  • Quian Quiroga R (2000) Obtaining single stimulus evoked potentials with wavelet denoising. Physica D 145:278–292

    Article  Google Scholar 

  • Quian Quiroga R (2006) Evoked potentials. In: Webster JG (ed) Encyclopedia of medical devices and implementation. Hoboken, John Wiley

    Google Scholar 

  • Quian Quiroga R, Garcia H (2003) Single-trial event-related potentials with wavelet denoising. Clin Neurophysiol 114:376–390

    Article  PubMed  CAS  Google Scholar 

  • Quian Quiroga R, van Luijtelaar ELJM (2002) Habituation and sensitization in rat auditory evoked potentials: a single-trial analysis with wavleet denoising. Int J Psychophysiol 43:141–153

    Article  PubMed  CAS  Google Scholar 

  • Quian Quiroga R, Atienza M, Jongsma M (2007) What can we learn from single-trial event-related potentials? Chaos and Complexity Letters 2:345–365

    Google Scholar 

  • Regan D (1989) Human brain electrophysiology. Evoked potentials and evoked magnetic fields in science and medicine. Elsevier, Amsterdam

    Google Scholar 

  • Seger CA (1994) Implicit learning. Psychol Bull 115:163–196

    Article  PubMed  CAS  Google Scholar 

  • Sokolov EN (1960) Neuronal models and the orienting response. In: Brazier MA (ed) The central nervous system and behavior III. Macy Foundation, New York

    Google Scholar 

  • Squires KC, Wickens C, Squires NK, Donchin E (1976) The effect of stimulus sequence on the waveform of the cortical event-related potential. Science 193:1142–1146

    Article  PubMed  CAS  Google Scholar 

  • Talnov A, Quian Quiroga R, Meier M, Matsumoto G, Brankack J (2003) Enthorinal imputs to dentate gyrus are activated mainly by conditioned events with long time intervals. Hippocampus 13:755–765

    Article  PubMed  Google Scholar 

  • Thakor N, Xin-rong G, Yi-Chun S, Hanley D (1993) Multiresolution wavelet analysis of evoked potentials. IEEE Transl Biomed Eng 40:1085–1094

    Article  CAS  Google Scholar 

  • Thompson RF, Spencer WA (1966) Habituation: a model phenomenon for the study of neuronal substrates of behavior. Psychol Rev 73:16–43

    Article  PubMed  CAS  Google Scholar 

  • Walter DO (1969) A posteriori “Wiener filtering” of average evoked responses. Electr Clin Neurophysiol (Suppl) 27:61–70

    Google Scholar 

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Freeman, W.J., Quiroga, R.Q. (2013). Single-Trial Evoked Potentials: Wavelet Denoising. In: Imaging Brain Function With EEG. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4984-3_5

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