2015
DOI: 10.3233/ica-140471
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Blind analysis of atrial fibrillation electrograms: A sparsity-aware formulation

Abstract: The problem of blind sparse analysis of electrogram (EGM) signals under atrial fibrillation (AF) conditions is considered in this paper. A mathematical model for the observed signals that takes into account the multiple foci typically appearing inside the heart during AF is firstly introduced. Then, a reconstruction model based on a fixed dictionary is developed and several alternatives for choosing the dictionary are discussed. In order to obtain a sparse solution, which takes into account the biological rest… Show more

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Cited by 12 publications
(10 citation statements)
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“…, 160 ms. Note also that the global dictionary is simply obtained by performing N − M different time shifts of the resulting sub-dictionary [13].…”
Section: Construction Of the Multi-scale Dictionarymentioning
confidence: 99%
See 1 more Smart Citation
“…, 160 ms. Note also that the global dictionary is simply obtained by performing N − M different time shifts of the resulting sub-dictionary [13].…”
Section: Construction Of the Multi-scale Dictionarymentioning
confidence: 99%
“…In electrocardiographic signal processing, many approaches have been proposed for the sparse representation of single-channel and multi-channel ECGs using different types of simple analytical waveforms: Gaussians [8][9][10], generalized Gaussians and Gabor dictionaries [11], several families of wavelets (e.g., the Mexican hat or the coiflet4) [12,13], etc. Although these approaches can lead to good practical results, the resulting models usually contain many spurious activations that must be removed to obtain physiologically interpretable signals, for instance by means of a post-processing stage [9,13] or through the minimization of a complex non-convex cost function [14]. Conversely, a customized dictionary, built from real-world signals, will provide a better performance in terms of the reconstruction error obtained for a given level of sparsity.…”
Section: Introductionmentioning
confidence: 99%
“…Blind Source Separation (BSS) is a non-parametric algorithm capable of recovering the original sources from a mixture of signals [8,123]. An explanation of the algorithm is presented in a recent article by Amezquita-Sanchez and Adeli [1].…”
Section: Blind Source Separationmentioning
confidence: 99%
“…In electrocardiographic signal processing, many approaches have been devised for the sparse representation of single-channel and multi-channel ECGs using different types of simple analytical waveforms: Gaussians [8][9][10], generalized Gaussians and Gabor dictionaries [11], several families of wavelets (like the mexican hat or the coiflet4) [12,13], etc. Although these approaches can lead to good practical results, they usually result in many spurious activations that must be removed in order to obtain physiologically interpretable signals, for instance by means of a post-processing stage [9,13] or through the minimization of a complex non-convex cost function [14]. However, a customized dictionary, built from real-world signals, will provide a better performance in terms of the reconstruction error obtained for a given level of sparsity.…”
Section: Introductionmentioning
confidence: 99%