Time-scale analysis of abrupt changes corrupted by multiplicative noise

Signal Processing

Volumn 80, Issue 3, 2000, Pages 397-411

  Chabert, Marie ^a   Tourneret, Jean Yves ^a   Castanie, Francis ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; OPTIMIZATION; PROBABILITY; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE; TIME DOMAIN ANALYSIS; WAVELET TRANSFORMS;

CONTINUOUS WAVELET TRANSFORMS (CWT); MULTIPLICATIVE ABRUPT CHANGES; RECEIVER OPERATING CHARACTERISTIC (ROC);

SIGNAL PROCESSING;

EID: 0033907493     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(99)00139-5     Document Type: Article

References (32)

1. M. Basseville, I.V. Nikiforov, Detection of Abrupt Changes: Theory and Application, Prentice-Hall, Englewood Cliffs, NJ, 1993.
2. Besson O., Castanié F. On estimating the frequency of a sinusoid in autoregressive multiplicative noise. Signal Processing. 30:January; 1993 65-83.
3. Bovik A.C. On detecting edges in speckle imagery. IEEE Trans. Acoust. Speech Signal Process. 36(10):October 1988;1618-1627.
4. M. Chabert, J.-Y. Tourneret, F. Castanié, Additive and multiplicative jump detection using continuous wavelet transform, Proceedings of the ICASSP'96, Atlanta, 1996, pp. 3002-3005.
5. M. Chabert, J.-Y. Tourneret, F. Castanié, Time-scale analysis of deterministic signals corrupted by zero-mean Multiplicative Noise, Proceedings of the 1997 Workshop on Nonlinear Signal and Image Processing, Michigan.
6. M. Chabert, Détection et estimation de ruptures noyées dans un bruit multiplicatif - approches classiques et temps-échelle, Thèse de Doctorat de l'Institut National Polytechnique de Toulouse, No. 1395, Décembre 1997.
7. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series In Applied Mathematics, 1992.
8. A. Denjean, F. Castanié, Mean value jump detection: a survey of conventional and wavelet based methods, in: C.K. Chui, L. Montefuso, L. Puccio (Eds.), Wavelet Theory, Algorithms and Applications, Academic Press, New York, 1994, pp. 573-584.
9. P. Flandrin, Some aspects of nonstationary signal processing with emphasis on time-frequency and time-scale methods, in: J.M. Combes, A. Grossmann, Ph. Tchamitchian (Eds.), Wavelets: Time-Frequency Methods and Phase Space, 2nd Edition, Springer, New York, 1989, pp. 68-98.
10. P. Flandrin, Temps-Fréquence, Traité des Nouvelles Technologies, Série Traitement du Signal, Hermès, 1993.
11. Gardner W.A. A unifying view of second-order measures of quality for signal classification. IEEE Trans. Comm. com-28:1980;807-816.
12. A. Grossmann, R. Kronland-Martinet, J. Morlet, in: J.M. Combes, A. Grossmann, Ph. Tchamitchian (Eds.), Reading and Understanding Continuous Wavelet Transforms, Wavelets Time-Frequency Methods and Phase Space, 2nd Edition, Springer, Berlin, 1990, pp. 2-20.
13. Kelly P.A., Derin H., Hartt K.D. Adaptive segmentation of speckled images using a hierarchical random field model. IEEE Trans. Acoust. Speech Signal Process. 36(10):October; 1988 1628-1641.
14. Kormilo J.J., Mendel J.M. Maximum likelihood detection and estimation of Bernoulli-Gaussian processes. IEEE Trans. Inform. Theory. IT-28(3):May 1982;482-488.
15. C.Y. Lu, Second-order statistics of the wavelet transform of multiplicative white stochastic process, Proceedings of the ICASSP'94, 1994, pp. III21-III24.
16. Mallat S., Zhong S. Characterization of signals from multiscale edges. IEEE Trans. Pattern Anal. Mach. Intell. 8:1986;679-698.
17. Mallat S., Hwang W.L. Singularity detection and processing with wavelets. IEEE Trans. Inform. Theory. 38(2):1992;617-643.
18. Y. Meyer, Orthonormal wavelets, in: J.M. Combes, A. Grossmann, Ph. Tchamitchian (Eds.), Wavelets Time-Frequency Methods and Phase Space, 2nd Edition, Springer, Berlin, 1990, pp. 21-37.
19. Moghaddamjoo A., Doroodchi M. Cramer-Rao lower bound on locations of sudden changes in a steplike signal. IEEE Trans. Signal Process. 44(10):October; 1996 2551-2556.
20. A. Papoulis, Probability, Random Variables and Stochastic Processes, 3rd Edition, McGraw-Hill, New York, 1991.
21. B. Picinbono, P. Duvaut, Detection and contrast, in: C.R. Baker et al. (Eds.), Stochastic Processes in Underwater Acoustics, Lecture Notes in Control and Information Sciences, Vol. 85, 1986, pp. 181-203.
22. B. Porat, Digital Processing of Random Signals Theory and Methods, Prentice-Hall Information and System Sciences Series, Prentice-Hall, Englewood Cliffs, NJ, 1994.
23. A. Rényi, Calcul des Probabilités, Dunod, Paris, 1966.
24. O. Rioul, M. Vetterli, Wavelets and signal processing, IEEE Signal Process. Mag. (October 1991 ).
25. B.M. Sadler, A. Swami, Analysis of multiscale products of step detection and estimation, IEEE Trans. Inform. Theory 45 (3) (April 1999 ).
26. Simoncelli E.P., Freeman W.T., Adelson E.H., Heeger D.J. Shiftable multiscale transforms. IEEE Trans. Inform. Theory. 38(2):1992;587-607.
27. A. Swami, G.B. Giannakis, Signal detection and classification in multiplicative and additive noise, Proceedings of the IEEE Workshop on Non-linear Signal and Image Processing, June 1995, pp. 20-22.
28. Tourneret J.-Y. Detection and estimation of abrupt changes contaminated by multiplicative Gaussian noise. Signal Processing. 68(3):August 1998;259-270.
29. H.L. van Trees, Detection, Estimation, and Modulation Theory, Wiley, New York, 1968.
30. M. Vetterli, J. Kovacevic, in: A.V. Oppenheim (Ed.), Wavelets and Subband Coding, Prentice-Hall Signal Processing Series, Prentice-Hall, Englewood Cliffs, NJ, 1995.
31. L.G. Weiss, Wavelets and wideband correlation processing, IEEE Signal Process. Mag. (January 1994 ) 13-32.
32. R.K. Young, Wavelet Theory and its Applications, Kluwer, Dordrecht, 1993.