Signal estimation with multiple delayed sensors using covariance information

  • Authors:
  • R. Caballero-Águila;A. Hermoso-Carazo;J. D. Jiménez-López;J. Linares-Pérez;S. Nakamori

  • Affiliations:
  • Departamento de Estadística e I.O., Universidad de Jaén, Paraje Las Lagunillas, s/n, 23071 Jaén, Spain;Departamento de Estadística e I.O., Universidad de Granada, Campus Fuentenueva, s/n, 18071 Granada, Spain;Departamento de Estadística e I.O., Universidad de Jaén, Paraje Las Lagunillas, s/n, 23071 Jaén, Spain;Departamento de Estadística e I.O., Universidad de Granada, Campus Fuentenueva, s/n, 18071 Granada, Spain;Department of Technology, Faculty of Education, Kagoshima University, Kohrimoto, Kagoshima 890-0065, Japan

  • Venue:
  • Digital Signal Processing
  • Year:
  • 2010

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Abstract

Recursive filtering and smoothing algorithms to estimate a signal from noisy measurements coming from multiple randomly delayed sensors, with different delay characteristics, are proposed. To design these algorithms an innovation approach is used, assuming that the state-space model of the signal is unknown and using only covariance information. To measure the precision of the proposed estimators formulas to calculate the filtering and smoothing error covariance matrices are also derived. The effectiveness of the estimators is illustrated by a numerical simulation example where a signal is estimated using observations from two randomly delayed sensors having different delay properties.