Vector-sensor MUSIC for polarized seismic sources localization

  • Authors:
  • Sebastian Miron;Nicolas Le Bihan;Jérôme I. Mars

  • Affiliations:
  • Laboratoire des Images et des Signaux (LIS), Saint Martin d'Héres Cedex, France;Laboratoire des Images et des Signaux (LIS), Saint Martin d'Héres Cedex, France;Laboratoire des Images et des Signaux (LIS), Saint Martin d'Héres Cedex, France

  • Venue:
  • EURASIP Journal on Applied Signal Processing
  • Year:
  • 2005

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Abstract

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 Nx-multicomponent sensors is laid on the ground with constant distance Δx 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.