Kalman Filtering of Time Series Data

  • David M. Walker
Part of the Studies in Computational Finance book series (SICF, volume 2)


We introduce the method of Kalman filtering of time series data for linear systems and its nonlinear variant the extended Kalman filter. We demonstrate how the filter can be applied to nonlinear systems and reconstructions of nonlinear systems for the purposes of noise reduction, state estimation and parameter estimation. We discuss issues such as implementation of the filter equations and choices of filter parameters within the context of reconstructing nonlinear systems from data. Several examples illustrating the use of the filter are presented inlcuding a preliminary use of the filter as applied to economic time series data.


Kalman Filter State Estimate Time Series Data Extended Kalman Filter Radial Basis Function Network 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • David M. Walker
    • 1
  1. 1.Centre for Applied Dynamics and Optimization Department of Mathematics and StatisticsUniversity of Western Australia NedlandsPerthAustralia

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