DocumentCode :
636590
Title :
Sparse reconstruction of correlated multichannel activity
Author :
Peelman, Sem ; van der Herten, Joachim ; De Vos, Maarten ; Wen-shin Lee ; Van Huffel, Sabine ; Cuyt, Annie
Author_Institution :
Dept. Math. & Comput. Sci., Univ. Antwerpen, Antwerpen, Belgium
fYear :
2013
fDate :
3-7 July 2013
Firstpage :
3897
Lastpage :
3900
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.
Keywords :
Hankel matrices; Toeplitz matrices; electroencephalography; medical signal processing; principal component analysis; signal reconstruction; EEG activity reconstruction; Hankel-plus-Toeplitz matrix pencil method; complex exponential functions; continuous spectra; correlated multichannel activity; correlated multichannel electroencephalographic activity; discrete spectral content; line spectra; parametric methods; principal component analysis; sinusoidal signals modeling; sparse reconstruction; time domain samples; Brain models; Electroencephalography; Interpolation; Principal component analysis; Sparse matrices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Engineering in Medicine and Biology Society (EMBC), 2013 35th Annual International Conference of the IEEE
Conference_Location :
Osaka
ISSN :
1557-170X
Type :
conf
DOI :
10.1109/EMBC.2013.6610396
Filename :
6610396
Link To Document :
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