Abstract
The aim of this paper is to present to the signal processing community some points of this detection problem, with a particular emphasis on the statistical aspects, leaving out the system theoretic aspects, which are of great importance in the control context, or, more generally, in the case of multichannel signal processing. A briel overview is presented of some of the issues developped in the CNRS - conference : "Détection de ruptures dans les Modèles Dynamiques de Signaux et Systèmes" held in Paris, on March 21–22 — (CNRS - 1984).
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References
U. Appel, A. Brandt, (1983). "Adaptive sequential segmentation of piecewise stationary time series"., Information Sciences, Vol. 28, April.
M. Basseville, (1981) "Edge detection using sequential methods for change in level, part II: sequential detection of change in mean", IEEE-ASSP — 29 No 1 32–50
M. Basseville, B. Espiau, J. Gasnier, (1981)., "Edge detection using sequential methods for change in level, part I: a sequential edge detection algorithm"., IEEE-ASSP — 29 no 1, 24–31.
M. Basseville, A. Benveniste, (1983-a)., "Design and comparative study of some sequential jump detection algorithms for digital signals"., IEEE-ASSP — 31, No3, June 1983.
M. Basseville, A Benveniste, (1983-b)., "Sequential detection of abrupt changes in spectral characteristics of digital signals"., IEEE-IT — 24, Sept. 1983
G.K Bhattacharya, R.A Johnson, (1968).n "Non parametric tests for shift at an unknown time point"., Ann. Math. Statistics, Vol. 39, no 5, 1731–1743.
G. Bodenstein, H.M. Praetorius, (1977)., "Feature extraction form the encephalogram by adaptive segmentation"., Proc. IEEE, Vol. 65, 642–652.
E.Y Chow, A.S Willsky, (1984)., "Analytical redundancy and the design of robust failure detection systems"., to appear, IEEE-AC, 1984.
R.B. Davies, (1973)., "Asymptotic inference in stationary gaussian time series"., Adv. Appl. Proba. 5, 469–497.
J.C. Deckert, M.N Desai, J.J. Deyst, A.S. Willsky, (1977)., "F8 DFWB sensor failure identification using analytic redundancy"., IEEE-AC — 22, No 5, 725–803.
J. Deshayes, D. Picard, (1982)., "Tests de rupture de régression, comparaison asymptotique"., Teoryia Ver. Prim. 95–108.
J. Deshayes, D. Picard, (1983)., "Principe d'invariance sur les processus de vraisemblance"., Thèse d'état, Université d'Orsay, France, to appear 1984 in annales de l'institut Henri Poincaré.
A.H. Gray, J.D. Markel, (1976)., "Distances measures for speech processing"., IEEE-ASSP — 24, No 5, 380–391.
W.G.S. Hines, (1976)., "A simple monitor of a system with sudden parameter changes"., IEEE-IT — 22, No 2, 210–216.
D.V. Hinkley, (1971)., "Inference about the change-point from cumulative sumtests"., Biometrika, vol. 58, 509–523.
I.A. Ibragimov, R.Z. Khas'minskii, (1972). "Asymptotic Behavior of Statistical Estimators in the Smooth case-I. Study of the Likelihood Ratio". Theory of Proba. and Appl. Vol 17 no 3. 445–462.
B. Kedem, E. Slud, (1981)., "On goodness of fit of time series models, an application of high order crossing"., Biometrika, Vol. 68, No 2, 551–556.
B. Kedem, E. Slud, (1982)., "Time series discrimination by higher order crossings"., Annals of Statistics, Vol.10, No 3, 786–794.
I.V. Nikiforov, (1979)., "Cumulative sums for detection of changes in random process characteristics"., Autom. Remote control, Vol. 40, No 2, 192–202
I.V. Nikiforov, (1980)., "Modification and analysis of the cumulative sum procedure"., Automatika i Telemekanikha, Vol. 41, No 9, 74–80.
I.V. Nikiforov, (1983)., Sequential detection of abrupt changes in time series properties; Nauka, Mascow.
E.S. Page, (1954)., "Continuous inspection schemes"., Biometrika, Vol. 41, 100–114.
G.G. Roussas, (1972)., Contiguity of probability measures, some applications in statistics., Cambridge University press.
J. Segen, A.C. Sanderson, (1980)., "Detecting changes in time series"., IEEE-IT 26, No 2, 249–255.
A.S. Willsky, (1976)., "A survey of design methods for failure detection in dynamic systems"., Automatica, Vol. 12, 601–611.
A.S. Willsky, H.L. Jones, (1976)., "a generalized likelihood ratio approach to the detection and estimation of jumps in linear systems"., IEEE-AC — 21 No 1, 108–112.
CNRS-Conference: "Détection de Ruptures dans les Modèles Dynamiques de Signaux et Systèmes". Paris March 21–22, 1984.
R. André, M. Basseville, A. Benveniste: "un Exemple de Segmentation Temps-Réel du Signal de Parole".
M. Basseville: "Détection Séquentielle de Sauts de Moyenne".
M. Basseville: "Exemples d'Utililation de l'Algorithme GLR."
M. Basseville: "Quelques Algorithmes de Détection de Changements de Caractéristiques Spectrales Utilisés en Traitement du Signal".
J. Deshayes, D. Picard: "Méthodes Globales de test et d'Estimation de Ruptures: Points de Vue Asymptotiques".
I.V. Nikiforov: "Sequential Detection of changes in Times Series Properties Based on a Modified Cumulative Sum Algorithm".
D. Picard, J. Deshayes: "Comment utiliser les Statistiques de Vraisemblance dans un Problème de Rupture".
A.S. Willsky, E.Y. Chow, X.C. Lou, G.C. Verghese: "Redundancy Relations and Robust Failure Detection".
A.S. Willsky, P.C Doerschuk, R.R. Tenney; "Estimation — Based Approaches to Rhythm Analysis in Electrocardiograms".
A.S. Willsky: "Detection of Abrupt changes in Dynamic Systems".
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Benveniste, A., Basseville, M. (1984). Detection of abrupt changes in signals and dynamical systems : Some statistical aspects. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004951
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DOI: https://doi.org/10.1007/BFb0004951
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