A comparison of algorithms to filter noisy observations of a linear differential system driven by Brownian motion and a simple Markov switching process

P. J. Browne

Kybernetika (1994)

  • Volume: 30, Issue: 3, page 233-244
  • ISSN: 0023-5954

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Browne, P. J.. "A comparison of algorithms to filter noisy observations of a linear differential system driven by Brownian motion and a simple Markov switching process." Kybernetika 30.3 (1994): 233-244. <http://eudml.org/doc/28326>.

@article{Browne1994,
author = {Browne, P. J.},
journal = {Kybernetika},
keywords = {filtering; Brownian motion; innovation process; Gaussian observation noise; Kalman-Bucy filter},
language = {eng},
number = {3},
pages = {233-244},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A comparison of algorithms to filter noisy observations of a linear differential system driven by Brownian motion and a simple Markov switching process},
url = {http://eudml.org/doc/28326},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Browne, P. J.
TI - A comparison of algorithms to filter noisy observations of a linear differential system driven by Brownian motion and a simple Markov switching process
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 3
SP - 233
EP - 244
LA - eng
KW - filtering; Brownian motion; innovation process; Gaussian observation noise; Kalman-Bucy filter
UR - http://eudml.org/doc/28326
ER -

References

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  1. H. A. P. Blom, Overlooked potential of systems with Markovian ceofficients, In: Proceedings of 25th Conference on Decision and Control, Athens, Greece, December 1986, pp. 1758-1764. (1986) 
  2. H. A. P. Blom, Detection Filter Representations for Markov Jump Diffusions, NLR, TR, 82019 U, 1982. (1982) 
  3. R. J. Elliott, Stochastic Calculus and Applications, Springer-Verlag, Berlin 1982. (1982) Zbl0503.60062MR0678919
  4. A. H. Jazwinski, Stochastic Processes and Filtering Theory, Academic Press, New York 1970. (1970) Zbl0203.50101
  5. H. Kwakernaak, Filtering for systems excited by Poisson white noise, In: Control Theory, Numerical Methods and Computer System Modeling (A. Bensousan and J. L. Lions, eds., Lecture Notes in Economics and Mathematical Systems 107), Springer-Verlag, Berlin 1975, pp. 468-492. (1975) Zbl0308.60023MR0406643

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