Signal representation and segmentation based on multifractal stationarity

Signal Processing

Volumn 82, Issue 12, 2002, Pages 2015-2024

  Daoudi, Khalid ^a   Véhel, Jacques Lévy ^b  

^a LORIA   (France)

^b INRIA ROCQUENCOURT   (France)

Author keywords

Multifractal formalism; Multifractal signal analysis; Multifractal stationarity; Self similar functions; Wavelet analysis; Weakly self affine functions

Indexed keywords

APPROXIMATION THEORY; INTERNET; MATHEMATICAL MODELS; TELECOMMUNICATION TRAFFIC;

SIGNAL REPRESENTATION;

SIGNAL THEORY;

EID: 0036887822     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(02)00198-6     Document Type: Article

References (8)

1. M.F. Barnsley, Fractals Everywhere, AK Peters, New York, 1993.
2. K. Daoudi, Généralisations des IFS: applications au traitement du signal, Ph.D. Thesis, University Paris, 9, 1996, http://www.loria.fr/equipes/parole.
3. Daoudi K., Lévy Véhel J., Meyer Y. Construction of continuous functions with prescribed local regularity. Constr. Approx. 14:1998;349-385.
4. Jaffard S. Multifractal formalism functions, parts 1 and 2. SIAM J. Math. Anal. 28(4):1997;944-970.
5. W. Leland, M. Taqqu, W. Willinger, D. Wilson, On the self-similar nature of ethernet traffic, IEEE Trans. Networking 2 (February 1994) 1-15.
6. J. Lévy Véhel. Weakly Self Affine Functions and Applications in Signal Processing. CUADERNOS del Instituto de Matematica "Beppo Levi", 30, ISSN 03260690, 2001.
7. J. Lévy Véhel, K. Daoudi. Generalized IFS for Signal Processing. IEEE DSP Workshop, Loen, Norway, Sept. 1996.
8. Lévy Véhel J., Riedi R. Fractional Brownian motion and data traffic modeling: the other end of the spectrum. Lévy Véhel J., Lutton E., Tricot C. Fractals in Engineering. 1997;Springer, Berlin.