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Network Traffic Modeling using a Multifractal Wavelet Model

By Rudolf H. Riedi, Matthew Crouse, Vinay Joseph Ribeiro and Richard G. BaraniukRudolf H. Riedi, Matthew Crouse, Vinay Joseph Ribeiro and Richard G. Baraniuk

Abstract

Conference PaperIn this paper, we describe a new multiscale model for characterizing positive-valued and long-range dependent data. The model uses the Haar wavelet transform and puts a constraint on the wavelet coefficients to guarantee positivity, which results in a swift O(N) algorithm to synthesize N-point data sets. We elucidate our model's ability to capture the covariance structure of real data, study its multifractal properties, and derive a scheme for matching it to real data observations. We demonstrate the model's utility by applying it to network traffic synthesis. The flexibility and accuracy of the model and fitting procedure result in a close match to the real data statistics (variance-time plots) and queuing behavior

Topics: networks, multifractals, traffic, wavelets, Wavelet based Signal/Image Processing, Multiscale Methods, Signal Processing for Networking, Multifractals, networks, multifractals, traffic, wavelets
Year: 2006
DOI identifier: 10.1007/978-3-0348-8266-8_54
OAI identifier: oai:scholarship.rice.edu:1911/20273
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