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  • Research Article
  • Open Access

Vector-Sensor MUSIC for Polarized Seismic Sources Localization

EURASIP Journal on Advances in Signal Processing20052005:280527

  • Received: 18 December 2003
  • Published:


This paper addresses the problem of high-resolution polarized source detection and introduces a new eigenstructure-based algorithm that yields direction of arrival (DOA) and polarization estimates using a vector-sensor (or multicomponent-sensor) array. This method is based on separation of the observation space into signal and noise subspaces using fourth-order tensor decomposition. In geophysics, in particular for reservoir acquisition and monitoring, a set of -multicomponent sensors is laid on the ground with constant distance between them. Such a data acquisition scheme has intrinsically three modes: time, distance, and components. The proposed method needs multilinear algebra in order to preserve data structure and avoid reorganization. The data is thus stored in tridimensional arrays rather than matrices. Higher-order eigenvalue decomposition (HOEVD) for fourth-order tensors is considered to achieve subspaces estimation and to compute the eigenelements. We propose a tensorial version of the MUSIC algorithm for a vector-sensor array allowing a joint estimation of DOA and signal polarization estimation. Performances of the proposed algorithm are evaluated.

Keywords and phrases

  • vector-sensor array
  • vector MUSIC
  • interspectral tensor
  • higher-order eigenvalue decomposition for 4th-order tensors

Authors’ Affiliations

Laboratoire des Images et des Signaux (LIS), 961 rue de la Houille Blanche, BP 46, Saint Martin d'Hères Cedex, 38402, France


© Miron et al. 2005