New formulation for the Karhunen-Loeve expansion

Signal Processing

Volumn 79, Issue 3, 1999, Pages 235-249

  Courmontagne, Ph ^a  

^a UNIVERSITÉ DE TOULON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; INTEGRAL EQUATIONS; INTERPOLATION; RANDOM PROCESSES;

FREDHOLM INTEGRAL EQUATIONS; KARHUNEN-LOEVE EXPANSIONS;

SIGNAL PROCESSING;

EID: 0033322655     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(99)00099-7     Document Type: Article

References (17)

1. A.B. Baggeroer, State Variables and Communication Theory, The MIT Press, Cambridge, MA, 1970, pp. 23-38.
2. J.F. Blinn, What's the deal with the DCT?, IEEE Comput. Graphics Appl. 13 (4) (July 1993) 78-83.
3. R. Courant, D. Hilbert, Methods of Mathematical Physics, Vol. I, Interscience Publisher, New York, 1961, pp. 112-163.
4. Ph. Courmontagne, Interpolation d'un signal bidimensionnel en présence de termes perturbateurs, Mémoire de thèse, MS-GESSY Laboratory, Université de Toulon-Var France, June 1997.
5. Ph. Courmontagne, J.F. Cavassilas, Une nouvelle écriture du développement de Karhunen-Loève, Application à l'interpolation d'images, in: Proceedings 16th Gretsi, Grenoble, September 1997, pp. 455-458.
6. Ph. Courmontagne, J.F. Cavassilas, An interpolation-filtering method for noise-corrupted images, in: Proceedings 13th Digital and Signal Processing, Santorin, Vol. II, July 1997, pp. 1091-1094.
7. W.B. Davenport, W.L. Root, An Introduction to the Theory of Random Signal and Noise, McGraw-Hill, New York, 1958.
8. C.W. Helstrom, Statistical Theory of Signal Detection, Pergamon Press, 2nd Edition, 1968, pp. 133-149.
9. J. Irving, N. Mullineux, Mathematics in Physics and Engineering, Academic Press, New York & London, 1967, pp. 716-771.
10. M. Krasnov, A. Kisselev, G. Makarenko, Equation Intégrales, Editions de Moscou, 1967, pp. 34-91.
11. M. Kunt, Traitement numérique des images, in: Traitement de l'information Vol. 2, Presses Polytechniques et Universitaires Romandes, Collection Electricité, 1993, pp. 215-216.
12. M. Kunt, Traitement Numérique des Signaux, Dunod, Presses Polytechniques Romandes, 1981, pp. 368-369.
13. J.D. Logan, Applied Mathematics - A Contemporary Approach, Wiley, New York, 1988, pp. 199-216.
14. S.G. Mikhlin, K.L. Smolitskiy, Approximate methods for solution of differential and integral equations, Modern Analytic and Computational Methods in Science and Mathematics, Elsevier, New York, 1967, pp. 270-299.
15. V. Smirnov, Cours de Mathématiques Supérieures, Editions de Moscou, Vol. 4, Chapter 1, 1975.
16. C. Soize, Eléments Mathématiques de la Théorie Déterministe et Aléatoire du Signal, Ecole Nationale Supérieure des Techniques Avancées, Paris, 1983, 251 pp.
17. H.L. Van Trees, Detection, Estimation and Modulation Theory, Part I, Wiley, New York, 1968, pp. 178-192.