References :: Advanced Concepts (Wavelet Toolbox)

Wavelet Toolbox

References

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[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.

[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.

[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.

[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).

[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, Birkhauser.

[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 opérateurs, 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.

[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, Birkhauser.

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

[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, Birkhauser.

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

[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/

Wavelet Packets for Compression and De-Noising Adding Your Own Wavelets