P. Flandrin, On the spectrum of fractional Brownian motions, IEEE Transactions on Information Theory, vol.35, issue.1, pp.197-199, 1989.
DOI : 10.1109/18.42195

A. Cohen, Ondelettes, analyses multirésolutions et traitement numérique du signal, 1990.

A. Cohen, J. Froment, and J. Istas, Analyse multirésolution des signaux aléatoires, C. R. Acad. Sci. Paris, pp.567-570, 1991.

J. Ramanathan and O. Zeitouni, On the wavelet transform of fractional Brownian motion, IEEE Transactions on Information Theory, vol.37, issue.4, pp.1156-1158, 1991.
DOI : 10.1109/18.87007

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

A. H. Tewfik and M. Kim, Correlation structure of the discrete wavelet coefficients of fractional Brownian motion, IEEE Transactions on Information Theory, vol.38, issue.2, pp.904-909, 1992.
DOI : 10.1109/18.119750

E. Masry, The wavelet transform of stochastic processes with stationary increments and its application to fractional Brownian motion, IEEE Transactions on Information Theory, vol.39, issue.1, pp.260-264, 1993.
DOI : 10.1109/18.179371

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

E. J. Mccoy and A. T. Walden, Wavelet analysis and synthesis of stationary long-memory processes, Journal of Computational and Graphical Statistics, vol.5, pp.26-56, 1996.

M. Vannucci and F. Corradi, Covariance structure of wavelet coefficients: theory and models in a Bayesian perspective, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.61, issue.4, pp.971-986, 1999.
DOI : 10.1111/1467-9868.00214

T. Kato and E. Masry, On the Spectral Density of the Wavelet Transform of Fractional Brownian Motion, Journal of Time Series Analysis, vol.20, issue.5, pp.559-563, 1999.
DOI : 10.1111/1467-9892.00157

M. J. Jensen, An alternative maximum likelihood estimator of long-memory processes using compactly supported wavelets, Journal of Economic Dynamics and Control, vol.24, issue.3, pp.361-387, 2000.
DOI : 10.1016/S0165-1889(99)00010-X

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

J. Zhang and G. Walter, A wavelet-based KL-like expansion for wide-sense stationary random processes, IEEE Transactions on Signal Processing, vol.42, issue.7, pp.1737-1745, 1994.
DOI : 10.1109/78.298281

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

C. Chaux, J. Pesquet, and L. Duval, Noise Covariance Properties in Dual-Tree Wavelet Decompositions, IEEE Transactions on Information Theory, vol.53, issue.12, pp.4680-4700, 2007.
DOI : 10.1109/TIT.2007.909104
URL : https://hal.archives-ouvertes.fr/hal-00617268

A. M. Atto, D. Pastor, and A. Isar, On the statistical decorrelation of the wavelet packet coefficients of a band-limited wide-sense stationary random process, Signal Processing, vol.87, issue.10, pp.2320-2335, 2007.
DOI : 10.1016/j.sigpro.2007.03.014
URL : https://hal.archives-ouvertes.fr/hal-00732481

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

A. M. Atto and D. Pastor, Central Limit Theorems for Wavelet Packet Decompositions of Stationary Random Processes, Submitted to IEEE Transactions on Signal Processing, 2008.
DOI : 10.1109/TSP.2009.2031726
URL : https://hal.archives-ouvertes.fr/hal-00241849

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

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

J. Shen and G. Strang, Asymptotics of Daubechies Filters, Scaling Functions, and Wavelets, Applied and Computational Harmonic Analysis, vol.5, issue.3, pp.312-331, 1998.
DOI : 10.1006/acha.1997.0234

H. O. Kim, R. Y. Kim, and J. S. Ku, On asymptotic behavior of Battle???Lemari?? scaling functions and wavelets, Applied Mathematics Letters, vol.20, issue.4, pp.376-381, 2007.
DOI : 10.1016/j.aml.2006.04.021

A. Aldroubi, M. Unser, and M. Eden, Cardinal spline filters: Stability and convergence to the ideal sinc interpolator, Signal Process, pp.127-138, 1992.
DOI : 10.1016/0165-1684(92)90030-Z

M. V. Wickerhauser, Adapted Wavelet Analysis from Theory to Software, 1994.

G. Battle, A block spin construction of Ondelettes. Part i: Lemari?? Functions, Comm. Math. Phys, vol.110, issue.4, pp.601-615, 1987.
DOI : 10.1515/9781400827268.245

P. G. Lemarié, Ondelettes localisation exponentielle, J. Math. Pures Appl, vol.9, issue.67, pp.227-236, 1988.

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

P. D. Welch, The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms, IEEE Transactions on Audio and Electroacoustics, vol.15, issue.2, p.7073, 1967.
DOI : 10.1109/TAU.1967.1161901

H. Jokinen, J. Ollilab, and O. Aumalaa, On windowing effects in estimating averaged periodograms of noisy signals, Measurement, vol.28, issue.3, pp.197-207, 2000.
DOI : 10.1016/S0263-2241(00)00013-0

G. W. Wornell and A. V. Oppenheim, Estimation of fractal signals from noisy measurements using wavelets, IEEE Transactions on Signal Processing, vol.40, issue.3, pp.611-623, 1992.
DOI : 10.1109/78.120804

L. M. Kaplan and C. J. Kuo, Fractal estimation from noisy data via discrete fractional Gaussian noise (DFGN) and the Haar basis, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3554-3562, 1993.
DOI : 10.1109/78.258096

B. Ninness, Estimation of 1/f noise, IEEE Transactions on Information Theory, vol.44, issue.1, pp.32-46, 1998.
DOI : 10.1109/18.650986

B. Bahr and C. G. Esseen, Inequalities for the rth moment of a sum of random variables, Ann. Math. Statist, vol.1, issue.36, pp.299-303, 1965.