Robust approach for blind separation of noisy mixtures of independent and dependent sources

: pp. 761–769
Received: May 23, 2021
Accepted: June 07, 2021

Mathematical Modeling and Computing, Vol. 8, No. 4, pp. 761–769 (2021)

LIPIM, ENSA Khouribga, Sultan Moulay Slimane University, Khouribga, Morocco
LIPIM, ENSA Khouribga, Sultan Moulay Slimane University, Khouribga, Morocco
LMA, FST Beni-Mellal, Sultan Moulay Slimane University, Beni-Mellal, Morocco
LIPIM, ENSA Khouribga, Sultan Moulay Slimane University, Khouribga, Morocco

In this paper, a new Blind Source Separation (BSS) method that handles mixtures of noisy independent / dependent sources is introduced.  We achieve that by  minimizing a criterion that fuses a separating part, based on Kullback–Leibler divergence for either dependent or independent sources, with a regularization part that employs the bilateral total variation (BTV) for the purpose of denoising the observations.  The proposed algorithm utilizes a primal-dual algorithm to remove the noise, while a gradient descent method is implemented to retrieve the signal sources.  Our algorithm has shown its effectiveness and efficiency and also surpassed the standard existing BSS algorithms.

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