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Abstract: We study the fractal behavior of the high frequency part of the Fourier spectrum of fractional Brownian motion (fBm) using multifractal analysis and show that it is not consistent with what is measured on real traffic traces. We propose two extensions of fBm which come closer to actual traffic traces in terms of their multifractal properties. (Update)

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@misc{ recherche-unknown,
  author = "Apport De Recherche",
  title = "unknown",
  url = "citeseer.ist.psu.edu/767416.html" }
Citations (may not include all citations):
692   the self-similar nature of Ethernet traffic - Leland, Taqqu et al. - 1994
454   Self-similarity through highvariability: Statistical analysi.. - Willinger, Taqqu et al. - 1995
220   A storage model with self-similar input - Norros - 1994
161   Empirically-derived analytic models of wide-area TCP connect.. - Paxson - 1994
124   Stable non-Gaussian random processes (context) - Samorodnitsky, Taqqu - 1994
110   The Geometry of Random Fields (context) - Adler - 1981
104   Wavelet analysis of long range dependent traffic - Abry, Veitch - 1996
70   Large deviations for a general class of random vectors (context) - Ellis - 1984
49   Broadband network teletraffic (context) - Roberts, Mocci et al. - 1996
44   Intermittent turbulence in self similar cascades : divergenc.. (context) - Mandelbrot - 1974
42   Ergodic Theorems (context) - Krengel - 1985
41   An improved multifractal formalism and self-similar measures - Riedi - 1995
23   the multifractal analysis of measures (context) - Brown, Michon et al. - 1992
22   TCP traffic is multifractal: a numerical study - Riedi, V'ehel - 1997
20   Self-similar random multifractals (context) - Arbeiter, Patzschke - 1996
20   Multifractal analysis of real ATM traffic: a first look (context) - Mannersalo, Norros - 1997
13   Multifractal formalism for functions (context) - Jaffard - 1993
11   Self-similarity in world wide web traffic (context) - Crovella, Bestavros - 1996
11   the inversion formula and discontinuous multifractals (context) - Mandelbrot, Riedi - 1997
9   Multifractional Brownian motion: Definition and preliminary .. - Peltier, V'ehel - 1995
8   Seven definitions of multifractal scaling exponents (context) - Riedi - 1997
7   Multifractal analysis of Choquet capacities: Preliminary res.. - V'ehel, Vojak - 1997
3   private communication (context) - Norros - 1997
3   the ergodicity of a certain stationary process (context) - Ito - 1944
2   Fractal approaches in signal processing (context) - V'ehel - 1995
1   private communication (context) - Clerot - 1997

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