Independent component analysis as a preprocessing step for data compression of neonatal EEG

We propose a novel approach for compressive sampling of the neonatal electro-encefalogram (EEG) data. The method assumes that the set of EEG data is generated by linearly mixing a fewer number of source signals. Another assumption is that the sources are nearly-sparse in Gabor dictionary. The presented method, instead of compressing original EEG channels, first performs a data-reduction, and then compresses the obtained sources. With this approach we showed that the gain in reconstruction speed is 33%–50%, whereas the compression rate is enhanced by 33%.

[1]  Jared Tanner,et al.  Phase Transitions for Greedy Sparse Approximation Algorithms , 2010, ArXiv.

[2]  Thomas Blumensath,et al.  Accelerated iterative hard thresholding , 2012, Signal Process..

[3]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[4]  Balas K. Natarajan,et al.  Sparse Approximate Solutions to Linear Systems , 1995, SIAM J. Comput..

[5]  R.G. Baraniuk,et al.  Distributed Compressed Sensing of Jointly Sparse Signals , 2005, Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005..

[6]  Pierre Vandergheynst,et al.  Distributed compressed sensing of Hyperspectral images via blind source separation , 2010, 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers.

[7]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[8]  David L. Donoho,et al.  Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[9]  David L. Donoho,et al.  Precise Undersampling Theorems , 2010, Proceedings of the IEEE.

[10]  Mike E. Davies,et al.  Iterative Hard Thresholding for Compressed Sensing , 2008, ArXiv.

[11]  E.J. Candes,et al.  An Introduction To Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[12]  Volkan Cevher,et al.  Model-Based Compressive Sensing , 2008, IEEE Transactions on Information Theory.

[13]  Selin Aviyente,et al.  Compressed Sensing Framework for EEG Compression , 2007, 2007 IEEE/SP 14th Workshop on Statistical Signal Processing.

[14]  E. Candès.  The restricted isometry property and its implications for compressed sensing , 2008 .