Title
Sparse reconstruction of correlated multichannel activity Sparse reconstruction of correlated multichannel activity
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
conferenceObject
Publication
New york :Ieee ,
Source (journal)
MEDICINE AND BIOLOGY SOCIETY (EMBC)
IEEE Engineering in medicine and biology society conference proceedings
Source (book)
35th Annual International Conference of the, IEEE-Engineering-in-Medicine-and-Biology-Society (EMBC), JUL 03-07, 2013, Osaka, JAPAN
Volume/pages
(2013) , p. 3897-3900
ISSN
1557-170X
ISBN
978-1-4577-0216-7
ISI
000341702104086
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
Parametric methods for modeling sinusoidal signals with line spectra have been studied for decades. In general, these methods start by representing each sinusoidal component by means of two complex exponential functions, thereby doubling the number of unknown parameters. Recently, a Hankel-plus-Toeplitz matrix pencil method was proposed which directly models sinusoidal signals with discrete spectral content. Compared to its counterpart, which uses a Hankel matrix pencil, it halves the required number of time-domain samples and reduces the size of the involved linear systems. The aim of this paper is twofold. Firstly, to show that this Hankel-plus-Toeplitz matrix pencil also applies to continuous spectra. Secondly, to explore its use in the reconstruction of real-life signals. Promising preliminary results in the reconstruction of correlated multichannel electroencephalographic (EEG) activity are presented. A principal component analysis preprocessing step is carried out to exploit the redundancy in the channel domain. Then the reduced signal representation is successfully reconstructed from fewer samples using the Hankel-plus-Toeplitz matrix pencil. The obtained results encourage the future development of this matrix pencil method along the lines of well-established spectral analysis methods.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/7b0199/8542.pdf
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