Application de la transformée de Mellin : étude des lois statistiques de l'imagerie cohérente

[1]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[2]  C. L. Nikias,et al.  Signal processing with fractional lower order moments: stable processes and their applications , 1993, Proc. IEEE.

[3]  A. Zemanian.  Distribution Theory and Transform Analysis; An Introduction to Generalized Functions, With Applications , 1965 .

[4]  Imre Kiss,et al.  A New Implementation of the Mellin Transform and its Application to Radar Classification of Ships , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  J. Lacoume,et al.  Statistiques d'ordre supérieur pour le traitement du signal , 1997 .

[6]  B. A. Dolan.  The Mellin transform for moment–generation and for the probability density of products and quotients of random variables , 1964 .

[7]  R. D. Pierce.  Application of the positive alpha-stable distribution , 1997, Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics.

[8]  E. Jakeman,et al.  A model for non-Rayleigh sea echo , 1976 .

[9]  W. Krysicki,et al.  On some new properties of the beta distribution , 1999 .

[10]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[11]  Nakagami Law,et al.  GAMMA MIXTURE MODELED WITH "SECOND KIND STATISTICS" : APPLICATION TO SAR IMAGE PROCESSING , 2002 .

[12]  C. Oliver.  Optimum texture estimators for SAR clutter , 1993 .

[13]  Jean-Marie Nicolas.  α-stable positive distributions: A new approach based on second kind statistics , 2002, 2002 11th European Signal Processing Conference.

[14]  Jean-Marie Nicolas,et al.  Lower order statistics: A new approach for probability density functions defined on IR+ , 2000, 2000 10th European Signal Processing Conference.

[15]  Jean Marie Nicolas.  Filtrage homomorphique optimal d'images RSO (Radar à Synthèse d'Ouverture) , 2001 .

[16]  J. Goodman.  Some fundamental properties of speckle , 1976 .

[17]  Jean-Marie Nicolas,et al.  Tissue Ultrasonic Attenuation Well Modelized by a Mellin-Convolution , 1982 .

[18]  Abdelhak M. Zoubir,et al.  Estimating the parameters of K-distribution using higher-order and fractional moments , 1999 .

[19]  D. Dubois,et al.  The Mellin transform to control system described by an implicit derivative transmittance , 1998 .

[20]  J. Boucher,et al.  Filtrages des images radar (SAR) , 1991 .

[21]  James B. McDonald,et al.  Some Generalized Functions for the Size Distribution of Income , 1984 .

[22]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[23]  B. Epstein.  Some Applications of the Mellin Transform in Statistics , 1948 .

[24]  I. G. Graham,et al.  Numerical methods for integral equations of Mellin type , 2000 .

[25]  J. Nicolas.  A fisher-MAP filter for SAR image processing , 2003, IGARSS 2003. 2003 IEEE International Geoscience and Remote Sensing Symposium. Proceedings (IEEE Cat. No.03CH37477).

[26]  Laurent Hellequin,et al.  Analyse statistique et spectrale des signaux de sondeurs multifaisceaux em950 application a l'identification des fonds sous marins , 1998 .

[27]  Gerald Kaiser.  Wavelet Filtering with the Mellin Transform , 1996 .

[28]  Aldo Tagliani,et al.  Recovering a probability density function from its Mellin transform , 2001, Appl. Math. Comput..

[29]  Aldo Tagliani,et al.  Entropy estimate of a probability density from its Mellin transform , 2001, Appl. Math. Comput..

[30]  Sur certaines propriétés de la distribution gamma généralisée , 1967 .

[31]  L. Berg.  S. Colombo/J. Lavoine, Transformations de Laplace et de Mellin. Fascicule 169 (Mémorial des sciences mathématiques) 170 S. Paris 1972. Gauthier-Villars. Preis brosch. 96 F , 1973 .

[32]  K. Subrahmaniam.  On Some Applications of Mellin Transforms to Statistics: Dependent Random Variables , 1970 .

[33]  F. Chevalier,et al.  Principes de traitement des signaux radar et sonar , 1989 .

[34]  Jean-Marie Nicolas,et al.  Homomorphic wavelet transform and new subband statistics models for SAR image compression , 2004, IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium.

[35]  Abdelhak M. Zoubir,et al.  Estimation of the parameters of the K-distribution using higher order and fractional moments [radar clutter] , 1999 .

[36]  Amrane Houacine,et al.  Statistical characterisation and modelling of SAR images , 2002, Signal Process..