Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching Pursuit

<p/> <p>Joint time-frequency representations offer a rich representation of event related potentials (ERPs) that cannot be obtained through individual time or frequency domain analysis. This representation, however, comes at the expense of increased data volume and the difficulty of inte...

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Main Authors: Bernat EdwardM, Malone StephenM, Iacono WilliamG, Aviyente Selin
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://asp.eurasipjournals.com/content/2010/289571
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author Bernat EdwardM
Malone StephenM
Iacono WilliamG
Aviyente Selin
author_facet Bernat EdwardM
Malone StephenM
Iacono WilliamG
Aviyente Selin
author_sort Bernat EdwardM
collection DOAJ
description <p/> <p>Joint time-frequency representations offer a rich representation of event related potentials (ERPs) that cannot be obtained through individual time or frequency domain analysis. This representation, however, comes at the expense of increased data volume and the difficulty of interpreting the resulting representations. Therefore, methods that can reduce the large amount of time-frequency data to experimentally relevant components are essential. In this paper, we present a method that reduces the large volume of ERP time-frequency data into a few significant time-frequency parameters. The proposed method is based on applying the widely used matching pursuit (MP) approach, with a Gabor dictionary, to principal components extracted from the time-frequency domain. The proposed PCA-Gabor decomposition is compared with other time-frequency data reduction methods such as the time-frequency PCA approach alone and standard matching pursuit methods using a Gabor dictionary for both simulated and biological data. The results show that the proposed PCA-Gabor approach performs better than either the PCA alone or the standard MP data reduction methods, by using the smallest amount of ERP data variance to produce the strongest statistical separation between experimental conditions.</p>
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spelling doaj.art-ab75ddfe671c48a0a8a258deadb6aef02022-12-21T19:41:40ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802010-01-0120101289571Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching PursuitBernat EdwardMMalone StephenMIacono WilliamGAviyente Selin<p/> <p>Joint time-frequency representations offer a rich representation of event related potentials (ERPs) that cannot be obtained through individual time or frequency domain analysis. This representation, however, comes at the expense of increased data volume and the difficulty of interpreting the resulting representations. Therefore, methods that can reduce the large amount of time-frequency data to experimentally relevant components are essential. In this paper, we present a method that reduces the large volume of ERP time-frequency data into a few significant time-frequency parameters. The proposed method is based on applying the widely used matching pursuit (MP) approach, with a Gabor dictionary, to principal components extracted from the time-frequency domain. The proposed PCA-Gabor decomposition is compared with other time-frequency data reduction methods such as the time-frequency PCA approach alone and standard matching pursuit methods using a Gabor dictionary for both simulated and biological data. The results show that the proposed PCA-Gabor approach performs better than either the PCA alone or the standard MP data reduction methods, by using the smallest amount of ERP data variance to produce the strongest statistical separation between experimental conditions.</p>http://asp.eurasipjournals.com/content/2010/289571
spellingShingle Bernat EdwardM
Malone StephenM
Iacono WilliamG
Aviyente Selin
Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching Pursuit
EURASIP Journal on Advances in Signal Processing
title Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching Pursuit
title_full Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching Pursuit
title_fullStr Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching Pursuit
title_full_unstemmed Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching Pursuit
title_short Time-Frequency Data Reduction for Event Related Potentials: Combining Principal Component Analysis and Matching Pursuit
title_sort time frequency data reduction for event related potentials combining principal component analysis and matching pursuit
url http://asp.eurasipjournals.com/content/2010/289571
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