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Estimation of single event related potentials utilizing the Prony method

Sandsten, Maria LU ; Gänsler, Tomas and Salomonsson, Göran (1996) In IEEE Transactions on Biomedical Engineering 43(10). p.973-981
Abstract
This paper deals with estimation of the waveform of a single event-related potential, sERP. An additive noise model is used for the measured signal and the SNR of the disturbed sERP is approximately 0 dB. The sERP is described by a series expansion where the basis functions are damped sinusoids. The fundamental basis function is estimated by the least squares Prony method, derived for colored noise. The performance of the Prony method for different forms of the power density spectrum of the noise is investigated. A white noise approximation can be used at low signal-to-noise (SNR). The basis functions change slowly but the waveform of the sERP may vary from one stimulus to another, thus the authors average a small number of correlation... (More)
This paper deals with estimation of the waveform of a single event-related potential, sERP. An additive noise model is used for the measured signal and the SNR of the disturbed sERP is approximately 0 dB. The sERP is described by a series expansion where the basis functions are damped sinusoids. The fundamental basis function is estimated by the least squares Prony method, derived for colored noise. The performance of the Prony method for different forms of the power density spectrum of the noise is investigated. A white noise approximation can be used at low signal-to-noise (SNR). The basis functions change slowly but the waveform of the sERP may vary from one stimulus to another, thus the authors average a small number of correlation functions in order to increase the SNR. The method is evaluated by using measurements from four subjects and the results confirm the variability of the sERP. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Biomedical Engineering
volume
43
issue
10
pages
973 - 981
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:0030272729
ISSN
1558-2531
DOI
10.1109/10.536898
language
English
LU publication?
yes
id
21da6f9f-697a-46e1-8338-96db17a83c22
date added to LUP
2018-03-23 15:52:16
date last changed
2022-02-22 17:16:20
@article{21da6f9f-697a-46e1-8338-96db17a83c22,
  abstract     = {{This paper deals with estimation of the waveform of a single event-related potential, sERP. An additive noise model is used for the measured signal and the SNR of the disturbed sERP is approximately 0 dB. The sERP is described by a series expansion where the basis functions are damped sinusoids. The fundamental basis function is estimated by the least squares Prony method, derived for colored noise. The performance of the Prony method for different forms of the power density spectrum of the noise is investigated. A white noise approximation can be used at low signal-to-noise (SNR). The basis functions change slowly but the waveform of the sERP may vary from one stimulus to another, thus the authors average a small number of correlation functions in order to increase the SNR. The method is evaluated by using measurements from four subjects and the results confirm the variability of the sERP.}},
  author       = {{Sandsten, Maria and Gänsler, Tomas and Salomonsson, Göran}},
  issn         = {{1558-2531}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{973--981}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Biomedical Engineering}},
  title        = {{Estimation of single event related potentials utilizing the Prony method}},
  url          = {{http://dx.doi.org/10.1109/10.536898}},
  doi          = {{10.1109/10.536898}},
  volume       = {{43}},
  year         = {{1996}},
}