On improving sensitivity of the Kalman filter

Petr Franěk

Kybernetika (2002)

  • Volume: 38, Issue: 4, page [425]-443
  • ISSN: 0023-5954

Abstract

top
The impact of additive outliers on a performance of the Kalman filter is discussed and less outlier-sensitive modification of the Kalman filter is proposed. The improved filter is then used to obtain an improved smoothing algorithm and an improved state-space model parameters estimation.

How to cite

top

Franěk, Petr. "On improving sensitivity of the Kalman filter." Kybernetika 38.4 (2002): [425]-443. <http://eudml.org/doc/33593>.

@article{Franěk2002,
abstract = {The impact of additive outliers on a performance of the Kalman filter is discussed and less outlier-sensitive modification of the Kalman filter is proposed. The improved filter is then used to obtain an improved smoothing algorithm and an improved state-space model parameters estimation.},
author = {Franěk, Petr},
journal = {Kybernetika},
keywords = {outliers; smoothing algorithm; parameters estimation; outliers; smoothing algorithm; parameters estimation},
language = {eng},
number = {4},
pages = {[425]-443},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On improving sensitivity of the Kalman filter},
url = {http://eudml.org/doc/33593},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Franěk, Petr
TI - On improving sensitivity of the Kalman filter
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 4
SP - [425]
EP - 443
AB - The impact of additive outliers on a performance of the Kalman filter is discussed and less outlier-sensitive modification of the Kalman filter is proposed. The improved filter is then used to obtain an improved smoothing algorithm and an improved state-space model parameters estimation.
LA - eng
KW - outliers; smoothing algorithm; parameters estimation; outliers; smoothing algorithm; parameters estimation
UR - http://eudml.org/doc/33593
ER -

References

top
  1. Anderson B. D. O., Moore J. B., Optimal Filtering, Prentice–Hall, Englewood Cliffs, N. J. 1979 Zbl1191.93133
  2. Box G. E. P., Tiao G. C., Bayesian Inference in Statistical Analysis, Addison–Wesley, London 1973 Zbl0850.62004MR0418321
  3. Cantarelis N., Johnston F. R., 10.1111/j.1467-9892.1982.tb00345.x, J. Time Ser. Analysis 3 (1982), 225–234 (1982) Zbl0502.62084MR0703085DOI10.1111/j.1467-9892.1982.tb00345.x
  4. Cipra T., Some modifications of recursive time series methods, In: ROBUST ’96 – Collection of Discussion Papers, Union of the Czech Mathematicians and Physicists, Praha 1997 
  5. Cipra T., Rubio A., 10.1007/BF02873526, Trabajos de Estadistica 6 (1991), 111–119 (1991) Zbl0748.62052DOI10.1007/BF02873526
  6. Cipra T., Rubio, A., Canal J. L., Robust smoothing and forecasting procedures, Central European J. Oper. Research 1 (1992), 41–56 (1992) 
  7. Durbin J., Koopman S. J., 10.1111/1467-9868.00218, J. Roy. Statist. Soc. 62 (2000), 3–56 MR1745604DOI10.1111/1467-9868.00218
  8. Franěk P., Kalman Filter, KPMS Seminair Works Series, MFF UK, Praha 1999 
  9. Hosking J. R. M., Pai J. S., Wu L. S.+ Y., 10.1016/0167-7152(95)00098-4, Statist. Probab. Letters 28 (1996), 99–106 (1996) Zbl0852.62090MR1394658DOI10.1016/0167-7152(95)00098-4
  10. Jazwinski A. H., Stochastic Processes and Filtering Theory, Academic Press, New York 1972 Zbl0203.50101
  11. Kalman R. E., 10.1115/1.3662552, Trans. Amer. Soc. Mech. Eng. – J. Basic Eng. 82 (1960), 35–45 (1960) DOI10.1115/1.3662552
  12. Kitagawa G., Non-Gaussian state-space modelling of nonstationary time series, J. Amer. Statist. Assoc. 82 (1987), 1032–1050 (1987) Zbl0644.62088MR0922169
  13. Kitagawa G., 10.2307/2669862, J. Amer. Statist. Assoc. 93 (1998), 1203-1215 (1998) DOI10.2307/2669862
  14. Künsch H. R., State space and hidden Markov models, In: Complex Stochastic Systems (O. E. Barndorf-Nielsen, D. R. Cox, and C. Klüppelberg, eds.), Chapman & Hall / CRC, Boca Raton 2001, pp. 109–173 Zbl1002.62072MR1893412
  15. Masreliez C. J., 10.1109/TAC.1975.1100882, IEEE Trans. Automat. Control AC-20 (1975), 107–110 (1975) Zbl0298.93018DOI10.1109/TAC.1975.1100882
  16. Masreliez C. J., Martin R. D., 10.1109/TAC.1977.1101538, IEEE Trans. Automat. Control AC-22 (1975), 361–371 (1975) MR0453124DOI10.1109/TAC.1977.1101538
  17. Meinhold R. J., Singpurwalla N. Z., 10.1080/01621459.1989.10478794, J. Amer. Statist. Assoc. 84 (1989), 479–486 (1989) MR1010336DOI10.1080/01621459.1989.10478794
  18. Ruckdeschel P., Ansätze zur Robustifizierung des Kalman-filters, Doctoral Thesis, Bayreuth University, Bayreuth 2001 Zbl0995.93001MR1884972
  19. Tanizaki H., 10.1080/03610920008832638, Comm. Statist. – Theory Methods 29 (2000), 2805–2834 Zbl1016.93068MR1804265DOI10.1080/03610920008832638

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.