Multiscale nature of network traffic

P Abry, R Baraniuk, P Flandrin… - IEEE Signal …, 2002 - ieeexplore.ieee.org
The complexity and richness of telecommunications traffic is such that one may despair to
find any regularity or explanatory principles. Nonetheless, the discovery of scaling behavior …

Wavelets for the analysis, estimation, and synthesis of scaling data

P Abry, P Flandrin, MS Taqqu… - Self‐similar network …, 2000 - Wiley Online Library
The presence of scaling behavior in telecommunications traffic is striking not only in its
ubiquity, appearing in almost every kind of packet data, but also in the wide range of scales …

Scaling in internet traffic: a 14 year and 3 day longitudinal study, with multiscale analyses and random projections

R Fontugne, P Abry, K Fukuda, D Veitch… - IEEE/ACM …, 2017 - ieeexplore.ieee.org
In the mid 1990s, it was shown that the statistics of aggregated time series from Internet
traffic departed from those of traditional short range-dependent models, and were instead …

On the wavelet spectrum diagnostic for Hurst parameter estimation in the analysis of Internet traffic

S Stoev, MS Taqqu, C Park, JS Marron - Computer Networks, 2005 - Elsevier
The fluctuations of Internet traffic possess an intricate structure which cannot be simply
explained by long-range dependence and self-similarity. In this work, we explore the use of …

Modeling heterogeneous network traffic in wavelet domain

S Ma, C Ji - IEEE/ACM transactions on networking, 2001 - ieeexplore.ieee.org
Heterogeneous network traffic possesses diverse statistical properties which include
complex temporal correlation and non-Gaussian distributions. A challenge to modeling …

Wavelet analysis of long-range-dependent traffic

P Abry, D Veitch - IEEE transactions on information theory, 1998 - ieeexplore.ieee.org
A wavelet-based tool for the analysis of long-range dependence and a related semi-
parametric estimator of the Hurst parameter is introduced. The estimator is shown to be …

Dynamics of IP traffic: A study of the role of variability and the impact of control

A Feldmann, AC Gilbert, P Huang… - Proceedings of the …, 1999 - dl.acm.org
Using the ns-2-simulator to experiment with different aspects of user-or session-behaviors
and network configurations and focusing on the qualitative aspects of a wavelet-based …

Self-similarity in high-speed packet traffic: analysis and modeling of Ethernet traffic measurements

W Willinger, MS Taqqu, WE Leland, DV Wilson - Statistical science, 1995 - JSTOR
Traffic modeling of today's communication networks is a prime example of the role statistical
inference methods for stochastic processes play in such classical areas of applied …

The changing nature of network traffic: Scaling phenomena

A Feldmann, AC Gilbert, W Willinger… - ACM SIGCOMM Computer …, 1998 - dl.acm.org
In this paper, we report on some preliminary results from an in-depth, wavelet-based
analysis of a set of high-quality, packet-level traffic measurements, collected over the last 6-7 …

Cluster processes: a natural language for network traffic

N Hohn, D Veitch, P Abry - IEEE Transactions on Signal …, 2003 - ieeexplore.ieee.org
We introduce a new approach to the modeling of network traffic, consisting of a semi-
experimental methodology combining models with data and a class of point processes …