Multiresolution modeling and estimation of multisensor data

Lei Zhang, Xiaolin Wu, Quan Pan, Hongcai Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

39 Citations (Scopus)

Abstract

This paper presents a multiresolution multisensor data fusion scheme for dynamic systems to be observed by several sensors of different resolutions. A state projection equation is introduced to associate the states of a system at each resolution with others. This projection equation together with the state transition equation and the measurement equations at each of the resolutions construct a continuous-time model of the system. The model meets the requirements of Kalman filtering. In discrete time, the state transition is described at the finest resolution and the sampling frequencies of sensor decrease successively by a factor of two in resolution. We can build a discrete model of the system by using a linear projection operator to approximate the state space projection. This discrete model satisfies the requirements of discrete Kalman filtering, which actually offers an optimal estimation algorithm of the system. In time-invariant case, the stability of the Kalman filter is analyzed and a sufficient condition for the filtering stability is given. A Markov-process-based example is given to illustrate and evaluate the proposed scheme of multiresolution modeling and estimation with multiple sensors.
Original languageEnglish
Pages (from-to)3170-3182
Number of pages13
JournalIEEE Transactions on Signal Processing
Volume52
Issue number11
DOIs
Publication statusPublished - 1 Nov 2004
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

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