Further results on self-similar network traffic modeling with scale-invariant systems

Raghuveer M. Rao; Seungsin Lee; Rajesh Narasimha; Soheil A. Dianat

doi:10.1117/12.438285

28 August 2001 Further results on self-similar network traffic modeling with scale-invariant systems

Raghuveer M. Rao, Seungsin Lee, Rajesh Narasimha, Soheil A. Dianat

Proceedings Volume 4395, Digital Wireless Communication III; (2001) https://doi.org/10.1117/12.438285
Event: Aerospace/Defense Sensing, Simulation, and Controls, 2001, Orlando, FL, United States

Abstract

Discrete-time linear systems that possess scale-invariance properties even in the presence of continuous dilation were proposed by Zhao and Rao. The paper presents results of subsequent investigation characterizing self-similarity properties of discrete-time signals synthesized by these systems. It is shown that white noise inputs to these linear scale invariant systems produce self-similar outputs regardless of the marginal distribution of the noise. We investigate this with different types of inputs and in most instances the outputs are fractional Gaussian and self-similar. This is confirmed by generating the fractional Gaussian noise from the fractional Brownian motion and comparing its characteristics with the system output. For heavy tailed input distributions, the output is also heavy-tailed and self-similar. It is also shown that it is possible to synthesize statistically self-similar signals whose self-similarity parameters are consistent with those observed in network traffic.

Citation Download Citation

Raghuveer M. Rao, Seungsin Lee, Rajesh Narasimha, and Soheil A. Dianat "Further results on self-similar network traffic modeling with scale-invariant systems", Proc. SPIE 4395, Digital Wireless Communication III, (28 August 2001); https://doi.org/10.1117/12.438285

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