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Multifractal characteristics of the Internet traffic have been discovered anddiscussed in several research papers so far. However, the origin of thisphenomenon is still not fully understood. It has been proven that thecongestion control mechanism of the Internet transport protocol, i.e., themechanism of TCP Reno can generate multifractal traffic properties.Nonetheless, TCP Reno does not exist in today's network any longer,surprisingly traffic multifractality has still been observed. In this paper wegive the theoretical proof that TCP CUBIC, which is the default TCP version inthe Linux world, can generate multifractal traffic. We give the multifractalspectrum of TCP CUBIC traffic and compare it with the multifractal spectrum ofTCP Reno traffic. Moreover, we present the multifractal spectrum for a moregeneral model, where TCP CUBIC and TCP Reno are special cases. Our results alsoshow that TCP CUBIC produces less bursty traffic than TCP Reno.

Large Deviation Multifractal Analysis of a Process Modeling TCP CUBIC