A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
On the self-similar nature of Ethernet traffic
SIGCOMM '93 Conference proceedings on Communications architectures, protocols and applications
Wavelets and subband coding
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Essential wavelets for statistical applications and data analysis
Essential wavelets for statistical applications and data analysis
On estimating the intensity of long-range dependence in finite and infinite variance time series
A practical guide to heavy tails
Meaningful MRA intitialization for discrete time series
Signal Processing - Special issue on current topics in adaptive filtering for hands-free acoustic communication and beyond
Estimation of the self-similarity parameter in linear fractional stable motion
Signal Processing - Signal processing with heavy-tailed models
Does fractal scaling at the IP level depend on TCP flow arrival processes?
Proceedings of the 2nd ACM SIGCOMM Workshop on Internet measurment
Long-range dependence in a changing internet traffic mix
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Long range dependent trafic
Cluster processes: a natural language for network traffic
IEEE Transactions on Signal Processing
Wavelet analysis of long-range-dependent traffic
IEEE Transactions on Information Theory
A wavelet-based joint estimator of the parameters of long-range dependence
IEEE Transactions on Information Theory
Statistical study of the wavelet analysis of fractional Brownian motion
IEEE Transactions on Information Theory
ACM SIGCOMM Computer Communication Review
Experimental validation of the ON-OFF packet-level model for IP traffic
Computer Communications
Analysis of multi-player online game traffic based on self-similarity
NetGames '06 Proceedings of 5th ACM SIGCOMM workshop on Network and system support for games
Visualization and inference based on wavelet coefficients, SiZer and SiNos
Computational Statistics & Data Analysis
Network traffic analysis using singular value decomposition and multiscale transforms
Information Sciences: an International Journal
Rate-interval curves - A tool for the analysis and monitoring of network traffic
Performance Evaluation
Self-similarity and long-range dependence in teletraffic
MUSP'09 Proceedings of the 9th WSEAS international conference on Multimedia systems & signal processing
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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 the wavelet spectrum, whose slope is commonly used to estimate the Hurst parameter of long-range dependence. We show that much more than simple slope estimates are needed for detecting important traffic features. In particular, the multi-scale nature of the traffic does not admit simple description of the type attempted by the Hurst parameter.By using simulated examples, we demonstrate the causes of a number of interesting effects in the wavelet spectrum of the data. This analysis leads us to a better understanding of several challenging phenomena observed in real network traffic. Although the wavelet analysis is robust to many smooth trends, high-frequency oscillations and non-stationarities such as abrupt changes in the mean have an important effect. In particular, the breaks and level-shifts in the local mean of the traffic rate can lead one to overestimate the Hurst parameter of the time series. Novel statistical techniques are required to address such issues in practice.