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Detection of Abrupt Changes in Signals and Dynamical Systems pp 259–274Cite as

The local method applied to the robust detection of changes in the poles of a pole-zero system

  • Part II Likelihood And Related Methods, With An Emphasis On The Detection Of Changes In Spectral Characteristics
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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 77))

Abstract

In this chapter, we investigate a non classical change detection problem, for which there is a strong coupling effect between nuisance parameters and parameters to be monitored. As maximum likelihood methods cannot be used in this case, we derive a so-called instrumental statistics which, together with a local testing approach, gives a new test of x2 type. The extension of this test for the problem of diagnosis is also described.

Only the scalar case is investigated here. The extension of the proposed tests for vector signals is currently under study and may be used, for example, as a solution to the problem of vibration monitoring for offshore platforms.

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References

  1. M. BASSEVILLE: "The two-models approach for the on-line detection of changes in AR processes". In this book.

    Google Scholar 

  2. M. BASSEVILLE, A. BENVENISTE, G. MOUSTAKIDES: "Detection and diagnosis of abrupt changes in modal characteristics of nonstationary digital signals". Research report IRISA no239/INRIA no348. Oct. 1984. Submitted to IEEE Trans. on Inf. Theory.

    Google Scholar 

  3. D. BASU: "On the elimination of nuisance parameters". Jal of the American Statistical Association. vol.72, no358: 355–366. June 1977.

    Google Scholar 

  4. A. BENVENISTE, J.J. FUCHS: "Single sample modal identification of a nonstationary stochastic process". IEEE Trans. On Automatic Control. Vol. AC-30, no1. pp. 66–74, January 1985.

    Google Scholar 

  5. A. BENVENISTE: "Advanced methods of change detection: An overview". In this book.

    Google Scholar 

  6. T. BOHLIN: "Analysis of EEG signals with changing spectra using a short word Kalman estimator". Math. Biosciences, vol.35: 221–259. 1977.

    Google Scholar 

  7. S.P. BRUZZONE, M. KAVEH: "Information tradeoffs in using the sample autocorrelation function in ARMA parameter estimation". IEEE Trans. on A.S.S.P., vol.ASSP-32, no4: 701–715. Aug. 1984.

    Google Scholar 

  8. J. DESHAYES, D. PICARD: "Off-line statistical analysis of model changes using likelihood methods or nonparametric techniques". In this book.

    Google Scholar 

  9. I.A. IBRAGIMOV, R.Z. KHAS'MINSKII: "Asymptotic behavior of statistical estimators in the smooth case. I. Study of the likelihood ratio. Theory of Proba. and Appl., vol.17, no3: 445–462. 1972.

    Google Scholar 

  10. G. MOUSTAKIDES, A. BENVENISTE: "Detecting Changes in the AR parameters of a nonstationary ARMA process". Research Report IRISA n o 249/INRIA n o 391. March 1985. To appear in Stochastics.

    Google Scholar 

  11. I.V. NIKIFOROV: "Sequential detection of abrupt changes in time series properties". Ed. Naouka. Moscow. Sept. 1983.

    Google Scholar 

  12. i.V. NIKIFOROV: "Sequential detection of changes in stochastic systems". In this book.

    Google Scholar 

  13. M. PREVOSTO, A. BENVENISTE, B. BARNOUIN: "Identification of vibrating structures subject to nonstationary excitation: a nonstationary stochastic realization problem". Submitted to IEEE Trans. on Automatic Control.

    Google Scholar 

  14. T. SODERSTROM, P. STOICA: "Instrumental variable methods for system identification". Springer. Serie: Lecture Notes in Computer and Information Sciences. 1983.

    Google Scholar 

  15. A.S. WILLSKY: "A survey of design methods for failure detection in dynamic systems". Automatica, vol.12: 601–611. 1976.

    Google Scholar 

  16. A.S. WILLSKY: "Detection of abrupt changes in dynamic systems". In this book.

    Google Scholar 

  17. A. ROUGEE: "Détection de changements dans les paramètres A.R. d'un processus ARMA vectoriel: application à la surveillance des vibrations". Thèse de 3ème Cycle. Univ. Rennes I, Sept. 1985.

    Google Scholar 

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Author information

Authors and Affiliations

  1. IRISA/CNRS, France

    Michèle Basseville

  2. IRISA/INRIA, France

    Albert Benveniste & Georges Moustakides

Authors
  1. Michèle Basseville
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  2. Albert Benveniste
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  3. Georges Moustakides
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Michèle Basseville Albert Benveniste

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© 1985 Springer-Verlag

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Basseville, M., Benveniste, A., Moustakides, G. (1985). The local method applied to the robust detection of changes in the poles of a pole-zero system. In: Basseville, M., Benveniste, A. (eds) Detection of Abrupt Changes in Signals and Dynamical Systems. Lecture Notes in Control and Information Sciences, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006395

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  • DOI: https://doi.org/10.1007/BFb0006395

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16043-4

  • Online ISBN: 978-3-540-39726-7

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