A. M. Bibliographie-de-l-'auteur and . Atto, Analyse en ondelettes et par paquets d'ondelettes de processus al eatoires stationnaires et application a l'estimation non-param etrique, 2008.

A. M. Atto and Y. Berthoumieu, How to perform texture recognition from stochastic modeling in the wavelet domain, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011.
DOI : 10.1109/ICASSP.2011.5947309

A. M. Atto and Y. Berthoumieu, Wavelet Packets of Nonstationary Random Processes: Contributing Factors for Stationarity and Decorrelation, IEEE Transactions on Information Theory, vol.58, issue.1, 2012.
DOI : 10.1109/TIT.2011.2167496

URL : https://hal.archives-ouvertes.fr/hal-00548105

A. M. Atto and D. Pastor, Central Limit Theorems for Wavelet Packet Decompositions of Stationary Random Processes, IEEE Transactions on Signal Processing, vol.58, issue.2, pp.896-901
DOI : 10.1109/TSP.2009.2031726

URL : https://hal.archives-ouvertes.fr/hal-00241849

A. M. Atto, D. Pastor, and G. Mercier, Wavelet Packets of Fractional Brownian Motion: Asymptotic Analysis and Spectrum Estimation, IEEE Transactions on Information Theory, vol.56, issue.9, 2010.
DOI : 10.1109/TIT.2010.2053865

URL : https://hal.archives-ouvertes.fr/hal-00409479

A. M. Atto, D. Pastor, and G. Mercier, Wavelet shrinkage : unication of basic thresholding functions and thresholds. Signal, Image and Video Processing

A. M. Atto, Y. Berthoumieu, and P. Bolon, 2-D Wavelet Packet Spectrum for Texture Analysis, IEEE Transactions on Image Processing, vol.22, issue.6
DOI : 10.1109/TIP.2013.2246524

A. M. Atto, Y. Berthoumieu, and R. M. Egret, Stochasticity: A Feature for the Structuring of Large and Heterogeneous Image Databases, Entropy, vol.15, issue.11
DOI : 10.3390/e15114782

URL : https://hal.archives-ouvertes.fr/hal-00550318

A. Benassi, S. Jaard, and D. Roux, Gaussian processes and pseudodierential elliptic operators, Rev. Mat. Iberoamericana, vol.13, issue.1, pp.19-89, 1997.

C. S. Burrus, R. A. Gopinath, and H. Guo, Introduction to Wavelets and Wavelet Transforms : A Primer, 1998.

E. Cand-es, L. Demanet, D. Donoho, and L. Ying, Fast Discrete Curvelet Transforms, Multiscale Modeling & Simulation, vol.5, issue.3, pp.861-899, 2006.
DOI : 10.1137/05064182X

E. J. Cand-es and D. L. Donoho, Curvelets -a surprisingly eective nonadaptive representation for objects with edges. Curves and Surfaces, 2000.

E. J. Cand-es and D. L. Donoho, singularities, Communications on Pure and Applied Mathematics, vol.9, issue.7, pp.219-266, 2004.
DOI : 10.1002/cpa.10116

R. R. Coifman and D. L. Donoho, Translation invariant de-noising, pages 125 { 150. Number 103, Lecture Notes in Statistics, 1995.
DOI : 10.1007/978-1-4612-2544-7_9

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

R. R. Coifman and M. V. Wickerhauser, Entropy-based algorithms for best basis selection, IEEE Transactions on Information Theory, vol.38, issue.2, pp.713-718, 1992.
DOI : 10.1109/18.119732

P. F. Craigmile and D. B. , Asymptotic Decorrelation of Between-Scale Wavelet Coefficients, IEEE Transactions on Information Theory, vol.51, issue.3, pp.1039-1048, 2005.
DOI : 10.1109/TIT.2004.842575

I. Daubechies, Ten lectures on wavelets, SIAM, 1992.

L. Delbeke and P. Abry, Stochastic integral representation and properties of the wavelet coecients of linear fractional stable motion, Stochastic Processes and their Applications, pp.177-182, 2000.

R. W. Dijkerman and R. R. Mazumdar, On the correlation structure of the wavelet coefficients of fractional Brownian motion, IEEE Transactions on Information Theory, vol.40, issue.5, pp.1609-1612, 1994.
DOI : 10.1109/18.333875

M. N. Do and M. Vetterli, Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance, IEEE Transactions on Image Processing, vol.11, issue.2, pp.146-158, 2002.
DOI : 10.1109/83.982822

D. L. Donoho, Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data, Proceedings of Symposia in Applied Mathematics, 1993.
DOI : 10.1090/psapm/047/1268002

D. L. Donoho and I. M. Johnstone, Ideal spatial adaptation by wavelet shrinkage, Biometrika, vol.81, issue.3, pp.425-455, 1994.
DOI : 10.1093/biomet/81.3.425

P. Flandrin, Wavelet analysis and synthesis of fractional Brownian motion, IEEE Transactions on Information Theory, vol.38, issue.2, pp.910-917, 1992.
DOI : 10.1109/18.119751

M. Gastpar, P. L. Dragotti, and M. Vetterli, The distributed karhunen-lo eve transform, IEEE Transactions on Information Theory, vol.52885449, issue.12, pp.5177-5196, 2006.

H. L. Gray, N. Zhang, and W. A. Woodward, ON GENERALIZED FRACTIONAL PROCESSES, Journal of Time Series Analysis, vol.7, issue.12, pp.233-257, 1989.
DOI : 10.2307/2287515

V. G. Gurzadyan and A. A. Kocharyan, Kolmogorov stochasticity parameter measuring the randomness in the cosmic microwave background, Astronomy and Astrophysics, vol.492, issue.2, pp.33-34, 2008.
DOI : 10.1051/0004-6361:200811188

J. St-ephane, Pointwise smoothness, two-microlocalization and wavelet coecients, Publicacions Matematiques, pp.155-168, 1991.

A. N. Kolmogorov, Sulla determinazione empirica di una legge di distribuzione, G. Ist. Ital. Attuari, vol.4, pp.83-91, 1933.

P. Dirk, Z. I. Kroese, and . Botev, Spatial process generation, 2013.

R. Kwitt and A. Uhl, Image similarity measurement by Kullback-Leibler divergences between complex wavelet subband statistics for texture retrieval, 2008 15th IEEE International Conference on Image Processing, pp.12-15, 2008.
DOI : 10.1109/ICIP.2008.4711909

D. Leporini and J. Pesquet, High-order wavelet packets and cumulant field analysis, IEEE Transactions on Information Theory, vol.45, issue.3, pp.863-877, 1999.
DOI : 10.1109/18.761329

URL : https://hal.archives-ouvertes.fr/hal-00621734

J. Lin, N. Saito, and R. Levine, Edgeworth approximation of the Kullback-Leibler distance towards problems in image analysis, 1999.

S. Mallat, A wavelet tour of signal processing, second edition, 1999.

B. Benoit, J. W. Mandelbrot, and . Van-ness, Fractional brownian motions, fractional noises and applications, SIAM Review, vol.10, issue.4, pp.422-437, 1968.

P. Mccullagh, Tensor Methods in Statistics, 1987.

D. Mendlovic, Z. Zalevsky, D. Mas, J. Garcia, and C. Ferreira, Fractional wavelet transform, Applied Optics, vol.36, issue.20, pp.4801-4806, 1997.
DOI : 10.1364/AO.36.004801

J. Ovarlez, F. Pascal, P. Forster, G. Ginolhac, and M. Mahot, Traitement STAP et mod elisation SIRV : robustesse et persym etrie, pp.1-2113, 2011.

D. Pastor and R. Gay, D ecomposition d'un processus stationnaire du second ordre : Propri et es statistiques d'ordre 2 des coecients d'ondelettes et localisation frequentielle des paquets d'ondelettes, Traitement du Signal, vol.12, issue.5, 1995.

R. Peltier and J. L. , Multifractional Brownian Motion : Denition and Preliminary Results, Projet FRACTALES, 1995.

R. Ramachandran and P. Beaumont, Robust estimation of garma model parameters with an application to cointegration among interest rates of industrialized countries, Computational Economics, vol.17, issue.2/3, pp.179-201, 2001.
DOI : 10.1023/A:1011640512990

S. Rejichi, F. Chaabane, and F. Tupin, Expert knowledge-based method for satellite image time series analysis and interpretation. Selected Topics in Applied Earth Observations and Remote Sensing, IEEE Journal, vol.8, issue.5, pp.2138-2150, 1404.

G. Samorodnitsky and M. S. Taqqu, Stable non-Gaussian random processes : stochastic models with innite variance, Stochastic Modeling Series, 1994.

G. Shen and A. Ortega, Transform-Based Distributed Data Gathering, IEEE Transactions on Signal Processing, vol.58, issue.7, pp.3802-3815, 2010.
DOI : 10.1109/TSP.2010.2047640

A. Stuart and J. K. Ord, Kendall's Advanced Theory of Statistics, 1991.

S. Touati and J. Pesquet, Some Results on the Wavelet Packet Decomposition of Nonstationary Processes, EURASIP Journal on Advances in Signal Processing, vol.2002, issue.11, pp.1289-1295, 2002.
DOI : 10.1155/S1110865702207040

URL : https://hal.archives-ouvertes.fr/hal-00621779

D. Veitch and P. Abry, A wavelet-based joint estimator of the parameters of long-range dependence. Information Theory, IEEE Transactions on, vol.45, issue.3, pp.878-897, 1999.

M. V. Wickerhauser, Inria lectures on wavelet packet algorithms, Probl emes Non- Lin eaires Appliqu es, Ondelettes et Paquets D'Ondes, P.-L. Lions, pp.31-99, 1991.

W. A. Woodward, Q. C. Cheng, and H. L. Gray, A k-Factor GARMA Long-memory Model, Journal of Time Series Analysis, vol.19, issue.4, pp.485-504, 1998.
DOI : 10.1111/j.1467-9892.1998.00105.x