Blind noisy mixture separation for independent/dependent sources through a regularized criterion on copulas
| العنوان: | Blind noisy mixture separation for independent/dependent sources through a regularized criterion on copulas |
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| المؤلفون: | H. Fenniri, Abdelilah Hakim, M. El Rhabi, Abdelghani Ghazdali, Amor Keziou |
| المساهمون: | Département Ingénierie Mathématique et Informatique, Ecole des Ponts ParisTech ( IMI ), Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 ( CRESTIC ), Université de Reims Champagne-Ardenne ( URCA ), Laboratoire Ingénierie des Procédés et Optimisation des Systèmes Industriels, Ecole Nationale des Sciences Appliquées, Université Hassan I ( LIPOSI ), Laboratoire de Mathématiques Appliquées, Faculté des Sciences et Techniques, Université Cadi Ayyad ( LAMAI ), Département Ingénierie Mathématique et Informatique, École des Ponts ParisTech (IMI), École des Ponts ParisTech (ENPC), Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (CRESTIC), Université de Reims Champagne-Ardenne (URCA), Laboratoire Ingénierie des Procédés et Optimisation des Systèmes Industriels, Ecole Nationale des Sciences Appliquées, Université Hassan I (LIPOSI), Laboratoire de Mathématiques Appliquées, Faculté des Sciences et Techniques, Université Cadi Ayyad (LAMAI) |
| المصدر: | Signal Processing Signal Processing, Elsevier, 2017, 131, pp.502-513. 〈10.1016/j.sigpro.2016.09.006〉 Signal Processing, Elsevier, 2017, 131, pp.502-513. ⟨10.1016/j.sigpro.2016.09.006⟩ |
| بيانات النشر: | HAL CCSD, 2017. |
| سنة النشر: | 2017 |
| مصطلحات موضوعية: | Noisy instantaneous mixtures, [ MATH ] Mathematics [math], [ INFO.INFO-TS ] Computer Science [cs]/Signal and Image Processing, Noise reduction, Copula (linguistics), 02 engineering and technology, 01 natural sciences, Blind signal separation, 010104 statistics & probability, [ INFO.INFO-IT ] Computer Science [cs]/Information Theory [cs.IT], [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], 0202 electrical engineering, electronic engineering, information engineering, Copulas, [ MATH.MATH-ST ] Mathematics [math]/Statistics [math.ST], 0101 mathematics, Electrical and Electronic Engineering, [MATH]Mathematics [math], Mathematics, Total variation, business.industry, Kullbak–Leibler divergence between, 020206 networking & telecommunications, Pattern recognition, Mutual information, ComputingMethodologies_PATTERNRECOGNITION, Dependent source, Control and Systems Engineering, [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], Kullbak-Leibler divergence, Signal Processing, Blind source separation, Computer Vision and Pattern Recognition, Minification, Artificial intelligence, business, Algorithm, Software |
| الوصف: | The paper introduces a new method for Blind Source Separation (BSS) in noisy instantaneous mixtures of both independent or dependent source component signals. This approach is based on the minimization of a regularized criterion. Precisely, it consists in combining the total variation method for denoising with the Kullback-Leibler divergence between copula densities. The latter takes advantage of the copula to model the structure of the dependence between signal components. The obtained algorithm achieves separation in a noisy context where standard BSS methods fail. The efficiency and robustness of the proposed approach are illustrated by numerical simulations. HighlightsThe paper provides a new Blind source separation for noisy mixtures of independent/dependent sources.The proposed approach combine TV-regularization for denoising and separation by minimizing TV-regularized Kullback-Leibler divergence between copulas.The efficiency and robustness properties of the proposed approach have been illustrated by simulations. |
| اللغة: | English |
| تدمد: | 0165-1684 1872-7557 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a28a183e2ac11f19360c392adc0e312 https://hal-enpc.archives-ouvertes.fr/hal-01811736/document |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....9a28a183e2ac11f19360c392adc0e312 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 01651684 18727557 |
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