References

[Abr97] Abry, P. (1997), Ondelettes et turbulence. Multirésolutions, algorithmes de décomposition, invariance d'échelles, Diderot Editeur, Paris.

[Abr03] Abry, P., P. Flandrin, M.S. Taqqu, D. Veitch (2003), "Self-similarity and long-range dependence through the wavelet lens," Theory and applications of long-range dependence, Birkhäuser, pp. 527–556.

[Ant94] Antoniadis, A. (1994), "Smoothing noisy data with coiflets," Statistica Sinica 4 (2), pp. 651–678.

[AntO95] Antoniadis, A., G. Oppenheim, Eds. (1995), Wavelets and statistics, Lecture Notes in Statistics 103, Springer Verlag.

[AntP98] Antoniadis A., D.T. Pham (1998), "Wavelet regression for random or irregular design," Comp. Stat. and Data Analysis, 28, pp. 353–369.

[AntG99] Antoniadis, A., G. Gregoire (1999), "Density and Hazard rate estimation for right-censored data using wavelet methods," J. R. Statist. Soc. B, 61, 1, pp. 63–84.

[ArnABEM95] Arneodo, A., F. Argoul, E. Bacry, J. Elezgaray, J.F. Muzy (1995), Ondelettes, multifractales et turbulence, Diderot Editeur, Paris.

[Bak95] Bakshi, B. (1998), "Multiscale PCA with application to MSPC monitoring," AIChE J. 44, pp. 1596–1610.

[BarJM03] Bardet, J.-M., G. Lang, G. Oppenheim, A. Philippe, S. Stoev, M.S. Taqqu (2003), "Generators of long-range dependence processes: a survey" Theory and applications of long-range dependence, Birkhäuser Boston, pp. 579–623.

[BirM97] Birgé, L., P. Massart (1997), "From model selection to adaptive estimation," in D. Pollard (ed.), Festchrift for L. Le Cam, Springer, pp. 55–88.

[Bri95] Brislawn, C.M. (1995), "Fingerprints to digital," Notices of the AMS. Vol. 42, pp. 1278–1283.

[Bur96] Burke Hubbard, B. (1996), The world according to wavelets, AK Peters, Wellesley. The French original version is titled Ondes et Ondelettes. La saga d'un outil mathématique, Pour la Science, (1995).

[Chr06] Christophe, E., C. Mailhes, P. Duhamel (2006), "Adaptation of zerotrees using signed binary digit representations for 3 dimensional image coding," EURASIP Journal on Image and Video Processing, 2007, to appear in the special issue on Wavelets in Source Coding, Communications, and Networks, Paper ID 54679.

[Chu92a] Chui, C.K. (1992a), Wavelets: a tutorial in theory and applications, Academic Press.

[Chu92b] Chui, C.K. (1992b), An introduction to wavelets, Academic Press.

[Coh92] Cohen, A. (1992), "Ondelettes, analyses multirésolution et traitement numérique du signal," Ph.D. thesis, University of Paris IX, Dauphine.

[Coh95] Cohen, A. (1995), Wavelets and multiscale signal processing, Chapman and Hall.

[CohDF92] Cohen, A., I. Daubechies, J.C. Feauveau (1992), "Biorthogonal basis of compactly supported wavelets," Comm. Pure Appli. Math. , vol. 45, pp. 485–560.

[CohDJV93] Cohen, A., I. Daubechies, B. Jawerth, P. Vial (1993), "Multiresolution analysis, wavelets and fast wavelet transform on an interval," CRAS Paris, Ser. A, t. 316, pp. 417–421.

[CoiD95] Coifman, R.R., D.L. Donoho (1995), "Translation invariant de-noising," Lecture Notes in Statistics, 103, pp. 125–150.

[CoiMW92] Coifman, R.R., Y. Meyer, M.V. Wickerhauser (1992), "Wavelet analysis and signal processing," in Wavelets and their applications, M.B. Ruskai et al. (Eds.), pp. 153–178, Jones and Bartlett.

[CoiW92] Coifman, R.R., M.V Wickerhauser (1992), "Entropy-based algorithms for best basis selection," IEEE Trans. on Inf. Theory, vol. 38, 2, pp. 713–718.

[Dau92] Daubechies, I. (1992), Ten lectures on wavelets, SIAM.

[DevJL92] DeVore, R.A., B. Jawerth, B.J. Lucier (1992), "Image compression through wavelet transform coding," IEEE Trans. on Inf. Theory, vol. 38, 2, pp. 719–746.

[Don93] Donoho, D.L. (1993), "Progress in wavelet analysis and WVD: a ten minute tour," in Progress in wavelet analysis and applications, Y. Meyer, S. Roques, pp. 109–128. Frontières Ed.

[Don95] Donoho, D.L. (1995), "De-Noising by soft-thresholding," IEEE Trans. on Inf. Theory, vol. 41, 3, pp. 613–627.

[DonJ94a] Donoho, D.L., I.M. Johnstone (1994),"Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, pp. 425–455.

[DonJ94b] Donoho, D.L., I.M. Johnstone (1994), "Ideal de-noising in an orthonormal basis chosen from a library of bases," CRAS Paris, Ser I, t. 319, pp. 1317–1322.

[DonJKP95] Donoho, D.L., I.M. Johnstone, G. Kerkyacharian, D. Picard (1995), "Wavelet shrinkage: asymptopia," Jour. Roy. Stat. Soc., series B, vol. 57, no. 2, pp. 301–369.

[DonJKP96] Donoho, D.L., I.M. Johnstone, G. Kerkyacharian, D. Picard (1996), "Density estimation by wavelet thesholding," Annals of Stat., 24, pp. 508–539.

[Fla92] Flandrin, P. (1992), "Wavelet analysis and synthesis of fractional Brownian motion," IEEE Trans. on Inf. Th., 38, pp. 910–917.

[HalPKP97] Hall, P., S. Penev, G. Kerkyacharian, D. Picard (1997), "Numerical performance of block thresholded wavelet estimators," Stat. and Computing, 7, pp. 115–124.

[HarKPT98] Hardle, W., G. Kerkyacharian, D. Picard, A. Tsybakov (1998), Wavelets, approximation and statistical applications, Lecture Notes in Statistics, 129, Springer Verlag.

[Ist94] Istas, J., G. Lang (1994), "Quadratic variations and estimation of the local Hölder index of a Gaussian process," Ann. Inst. Poincaré, 33, pp. 407–436.

[KahL95] Kahane, J.P., P.G Lemarié (1995), Fourier series and wavelets, Gordon and Research Publishers, Studies in the Development of Modern Mathematics, vol 3.

[Kai94] Kaiser, G. (1994), A friendly guide to wavelets, Birkhäuser.

[Lav99] Lavielle, M. (1999), "Detection of multiple changes in a sequence of dependent variables," Stoch. Proc. and their Applications, 83, 2, pp. 79–102.

[Lem90] Lemarié, P.G., Ed., (1990), Les ondelettes en 1989, Lecture Notes in Mathematics, Springer Verlag.

[Mal89] Mallat, S. (1989), "A theory for multiresolution signal decomposition: the wavelet representation," IEEE Pattern Anal. and Machine Intell., vol. 11, no. 7, pp. 674–693.

[Mal98] Mallat, S. (1998), A wavelet tour of signal processing, Academic Press.

[Mey90] Meyer, Y. (1990), Ondelettes et opéateurs, Tome 1, Hermann Ed. (English translation: Wavelets and operators), Cambridge Univ. Press, 1993.

[Mey93] Meyer, Y. (1993), Les ondelettes. Algorithmes et applications, Colin Ed., Paris, 2nd edition. (English translation: Wavelets: algorithms and applications, SIAM).

[MeyR93] Meyer, Y., S. Roques, Eds. (1993), Progress in wavelet analysis and applications, Frontières Ed.

[MisMOP93a] Misiti, M., Y. Misiti, G. Oppenheim, J.M. Poggi (1993a), "Analyse de signaux classiques par décomposition en ondelettes," Revue de Statistique Appliquée, vol. XLI, no. 4, pp. 5–32.

[MisMOP93b] Misiti, M., Y. Misiti, G. Oppenheim, J.M. Poggi (1993b), "Ondelettes en statistique et traitement du signal," Revue de Statistique Appliquée, vol. XLI, no. 4, pp. 33–43.

[MisMOP94] Misiti, M., Y. Misiti, G. Oppenheim, J.M. Poggi (1994), "Décomposition en ondelettes et méthodes comparatives: étude d'une courbe de charge électrique," Revue de Statistique Appliquée, vol. XLII, no. 2, pp. 57–77.

[MisMOP03] Misiti, M., Y. Misiti, G. Oppenheim, J.-M. Poggi (2003), "Les ondelettes et leurs applications," Hermes.

[MisMOP07] Misiti, M., Y. Misiti, G. Oppenheim, J.-M. Poggi (2007), Wavelets and their applications, ISTE DSP Series.

[NasS95] Nason, G.P., B.W. Silverman (1995), "The stationary wavelet transform and some statistical applications," Lecture Notes in Statistics, 103, pp. 281–299.

[Ogd97] Ogden, R.T. (1997), Essential wavelets for statistical applications and data analysis, Birkhäuser.

[PesKC96] Pesquet, J.C., H. Krim, H. Carfatan (1996), "Time-invariant orthonormal wavelet representations," IEEE Trans. Sign. Proc., vol. 44, 8, pp. 1964–1970.

[Sai96] Said A., W.A. Pearlman (1996), "A new, fast, and efficient image codec based on set partitioning in hierarchical trees," IEEE Trans. on Circuits and Systems for Video Technology, Vol. 6, No. 3, pp. 243–250.

[Sha93] Shapiro J.M. (1993), "Embedded image coding using zerotrees of wavelet coefficients," IEEE Trans. Signal Proc., Vol. 41, No. 12, pp. 3445–3462.

[StrN96] Strang, G., T. Nguyen (1996), Wavelets and filter banks, Wellesley-Cambridge Press.

[Swe98] Sweldens, W. (1998), "The Lifting Scheme: a Construction of Second Generation of Wavelets," SIAM J. Math. Anal., 29 (2), pp. 511–546.

[Teo98] Teolis, A. (1998), Computational signal processing with wavelets, Birkhäuser.

[VetK95] Vetterli, M., J. Kovacevic (1995), Wavelets and subband coding, Prentice Hall.

[Wal99] Walker, J.S. (1999), "Wavelet-Based Image Compression," University of Wisconsin, Eau Claire, Wisconsin, USA, , Sub-chapter of CRC Press book: Transform and Data Compression. A Primer on Wavelets and Their Scientific Applications. A second edition is published in 2008.

[Wic91] Wickerhauser, M.V. (1991), "INRIA lectures on wavelet packet algorithms," Proceedings ondelettes et paquets d'ondes, 17–21 June, Rocquencourt France, pp. 31–99.

[Wic91] Wickerhauser, M.V. (1991), "INRIA lectures on wavelet packet algorithms," Proceedings ondelettes et paquets d'ondes, 17–21 June, Rocquencourt France, pp. 31–99.

[Wic94] Wickerhauser, M.V. (1994), Adapted wavelet analysis from theory to software algorithms, A.K. Peters.

[Zee98] Zeeuw, P.M. (1998), "Wavelet and image fusion," CWI, Amsterdam, March 1998, http:/www.cwi.nl/~pauldz/

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