Multiway Space-Time-Wave-Vector Analysis for Source Localization and Extraction

Hanna Becker (1) , Pierre Comon (2) , Laurent Albera (3) , Martin Haardt (1) , Isabelle Merlet (3)

1 CRL - Communications Research Laboratory
2 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe SIGNAL
3 LTSI - Laboratoire Traitement du Signal et de l'Image

Deterministic approaches for source localization and extraction are desirable for short or nonstationary data, as opposed to techniques based on second or higher order statistics. Techniques based on tensor decompositions are recognized to be efficient in this framework, provided some diversity is available, in addition to time and space. With this goal, some authors have proposed to decompose a Space-Time-Frequency data tensor. In this paper, we propose a new multiway approach based on Space-Time-Wave-Vector (STWV) data which is obtained by a 3D local Fourier transform over space accomplished on the measured data. This method does not only permit to accurately localize sources even in a noisy environment, but simultaneously extracts the temporal behaviour associated with each source. The performance of this STWV analysis is investigated by means of computer simulations in the context of ElectroEncephaloGraphic (EEG) data analysis.

Mots clés: Tensor; Space-Time-WaveVector; Blind techniques; Space-Time-Frequency; Localization; CAND; Polyadic; Parafac

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Hanna Becker, Pierre Comon, Laurent Albera, Martin Haardt, Isabelle Merlet. Multiway Space-Time-Wave-Vector Analysis for Source Localization and Extraction. European Signal Processing Conference, Aug 2010, Aalborg, Denmark. pp.1349-1353. ⟨hal-00501845⟩