A New Link Between Joint Blind Source Separation Using Second Order Statistics and the Canonical Polyadic Decomposition - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2018

A New Link Between Joint Blind Source Separation Using Second Order Statistics and the Canonical Polyadic Decomposition

Dana Lahat

Résumé

In this paper, we discuss the joint blind source separation (JBSS) of real-valued Gaussian stationary sources with uncorrelated samples from a new perspective. We show that the second-order statistics of the observations can be reformulated as a coupled decomposition of several tensors. The canonical polyadic decomposition (CPD) of each such tensor, if unique, results in the identification of one or two mixing matrices. The proposed new formulation implies that standard algorithms for joint diagonalization and CPD may be used to estimate the mixing matrices, although only in a sub-optimal manner. We discuss the uniqueness and identifiability of this new approach. We demonstrate how the proposed approach can bring new insights on the uniqueness of JBSS in the presence of underdetermined mixtures.
Fichier principal
Vignette du fichier
Lahat_Jutten_LVA-ICA_2018.pdf (258.38 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01884793 , version 1 (01-10-2018)

Identifiants

  • HAL Id : hal-01884793 , version 1

Citer

Dana Lahat, Christian Jutten. A New Link Between Joint Blind Source Separation Using Second Order Statistics and the Canonical Polyadic Decomposition. LVA/ICA 2018 - 14th International Conference on Latent Variable Analysis and Signal Separation, Jul 2018, Guildford, United Kingdom. pp.171--180. ⟨hal-01884793⟩
68 Consultations
131 Téléchargements

Partager

Gmail Facebook X LinkedIn More