28 August 2001 Further results on self-similar network traffic modeling with scale-invariant systems
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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.
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Raghuveer M. Rao, Seungsin Lee, Rajesh Narasimha, 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); doi: 10.1117/12.438285; https://doi.org/10.1117/12.438285
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