Wavelet leader based multifractal analysis

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn IV, Issue , 2005, Pages

  Lashermes, Bruno ^a   Jaffard, Stéphane ^b   Abry, Patrice ^a  

^a CNRS   (France)

^b UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; OSCILLATIONS; RANDOM PROCESSES; SPECTRUM ANALYSIS; WAVELET TRANSFORMS;

CHIRP-TYPE SINGULARITIES; MATLAB ROUTINES; WAVELET COEFFICIENT;

FRACTALS;

EID: 33646791557     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2005.1415970     Document Type: Conference Paper

References (13)

1. B. B. Mandelbrot, "Intermittent turbulence in self similar cascades: Divergence of high moments and dimension of the carrier," J. Fluid. Mech., vol. 62, pp. 331, 1974.
2. G. Parisi and U. Frisch, "On the singularity structure of fully developed turbulence, appendix to fully developed turbulence and intermittency by U. Frisch," in Proc. Int. Summer school Phys. Enrico Fermi, North Holland, 1985.
3. A.M. Yaglom, "Effect of fluctuations in energy dissipation rate on the form of turbulence characteristics in the inertial subrange," Dokl. Akad. Nauk. SSR, vol. 166, pp. 49-52, 1966.
4. S. Jaffard, "Multifractal formalism for functions," S.I.A.M. J. Math. Anal., vol. 28(4), pp. 944-998, 1997.
5. R. H. Riedi, "Multifractal processes," in: "Theory and applications of long range dependence ", eds. Doukhan, Oppenheim and Taqqu, pp. 625-716, 2003.
6. A. Arneodo, E. Bacry, and J.F. Muzy, "The thermodynamics of fractals revisited with wavelets," Physica A, vol. 213, pp. 232-275, 1995.
7. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, CA, 1998.
8. S. Jaffard, "Exposants de holder en des points donnés et coefficients d'ondelettes," C. R. Acad. Sci. Sér. I Math., vol. 308, pp. 79-81, 1989.
9. S. Jaffard, "Wavelet tecnhiques in multifractal analysis," to appear in: "Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot", eds. M. Lapidus et M. van Frankenhuysen, Proc. of Symp. in Pure Mathematics, 2004.
10. A. Arneodo, E. Bacry, S. Jaffard, and J.F. Muzy, "Oscillating singularities on cantor sets: a grand-canonical multifractal formalism," J. Stat. Phys., vol. 87(1-2), pp. 179-209, 1997.
11. B. Lashermes, P. Abry, and P. Chainais, "New insights on the estimation of scaling exponents," Int. J. of Wavelets, Multiresolution and Information Processing, to appear, 2004.
12. B. Lashermes, P. Abry, and P. Chainais, "Scaling exponents estimation for multiscaling processes," in ICASSP 2004, Montréal, Canada, 2004.
13. J.-M. Aubry and S. Jaffard, "Random wavelet series," Comm. Math. Phys., vol. 227, pp. 483-514, 2002.