Compressive Sampling of EEG Signals with Finite Rate of Innovation

<p/> <p>Analyses of electroencephalographic signals and subsequent diagnoses can only be done effectively on long term recordings that preserve the signals' morphologies. Currently, electroencephalographic signals are obtained at Nyquist rate or higher, thus introducing redundancies...

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Main Authors: Poh Kok-Kiong, Marziliano Pina
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://asp.eurasipjournals.com/content/2010/183105
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author Poh Kok-Kiong
Marziliano Pina
author_facet Poh Kok-Kiong
Marziliano Pina
author_sort Poh Kok-Kiong
collection DOAJ
description <p/> <p>Analyses of electroencephalographic signals and subsequent diagnoses can only be done effectively on long term recordings that preserve the signals' morphologies. Currently, electroencephalographic signals are obtained at Nyquist rate or higher, thus introducing redundancies. Existing compression methods remove these redundancies, thereby achieving compression. We propose an alternative compression scheme based on a sampling theory developed for signals with a finite rate of innovation (FRI) which compresses electroencephalographic signals during acquisition. We model the signals as FRI signals and then sample them at their rate of innovation. The signals are thus effectively represented by a small set of Fourier coefficients corresponding to the signals' rate of innovation. Using the FRI theory, original signals can be reconstructed using this set of coefficients. Seventy-two hours of electroencephalographic recording are tested and results based on metrices used in compression literature and morphological similarities of electroencephalographic signals are presented. The proposed method achieves results comparable to that of wavelet compression methods, achieving low reconstruction errors while preserving the morphologiies of the signals. More importantly, it introduces a new framework to acquire electroencephalographic signals at their rate of innovation, thus entailing a less costly low-rate sampling device that does not waste precious computational resources.</p>
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spelling doaj.art-0a904d64de8f45d3b476525967d28c432022-12-22T03:15:44ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802010-01-0120101183105Compressive Sampling of EEG Signals with Finite Rate of InnovationPoh Kok-KiongMarziliano Pina<p/> <p>Analyses of electroencephalographic signals and subsequent diagnoses can only be done effectively on long term recordings that preserve the signals' morphologies. Currently, electroencephalographic signals are obtained at Nyquist rate or higher, thus introducing redundancies. Existing compression methods remove these redundancies, thereby achieving compression. We propose an alternative compression scheme based on a sampling theory developed for signals with a finite rate of innovation (FRI) which compresses electroencephalographic signals during acquisition. We model the signals as FRI signals and then sample them at their rate of innovation. The signals are thus effectively represented by a small set of Fourier coefficients corresponding to the signals' rate of innovation. Using the FRI theory, original signals can be reconstructed using this set of coefficients. Seventy-two hours of electroencephalographic recording are tested and results based on metrices used in compression literature and morphological similarities of electroencephalographic signals are presented. The proposed method achieves results comparable to that of wavelet compression methods, achieving low reconstruction errors while preserving the morphologiies of the signals. More importantly, it introduces a new framework to acquire electroencephalographic signals at their rate of innovation, thus entailing a less costly low-rate sampling device that does not waste precious computational resources.</p>http://asp.eurasipjournals.com/content/2010/183105
spellingShingle Poh Kok-Kiong
Marziliano Pina
Compressive Sampling of EEG Signals with Finite Rate of Innovation
EURASIP Journal on Advances in Signal Processing
title Compressive Sampling of EEG Signals with Finite Rate of Innovation
title_full Compressive Sampling of EEG Signals with Finite Rate of Innovation
title_fullStr Compressive Sampling of EEG Signals with Finite Rate of Innovation
title_full_unstemmed Compressive Sampling of EEG Signals with Finite Rate of Innovation
title_short Compressive Sampling of EEG Signals with Finite Rate of Innovation
title_sort compressive sampling of eeg signals with finite rate of innovation
url http://asp.eurasipjournals.com/content/2010/183105
work_keys_str_mv AT pohkokkiong compressivesamplingofeegsignalswithfiniterateofinnovation
AT marzilianopina compressivesamplingofeegsignalswithfiniterateofinnovation