A Simplified Multifractal Model for Self-Similar Traffic Flows in High-Speed Computer Networks Revisited

TL;DR

This paper refines a simplified multifractal model to better explain self-similar traffic flows in high-speed networks, improving resolution and reducing variability in estimating the Hurst exponent.

Contribution

It introduces a modified multifractal model with enhanced stability and resolution, specifically tailored for analyzing self-similar traffic in high-speed networks.

Findings

The modified model reduces variability in singularity limits.

Wavelet analysis demonstrates higher resolution with the new formulation.

The approach better captures the locality phenomenon in traffic flows.

Abstract

In the context of the simulations carried out using a simplified multifractal model that is proposed to give an explanation to the locality phenomenon that appears in the estimation of the Hurst exponent in the second-order stationary series that represent the self-similar traffic flows in high-speed computer networks, its formulation is perfected to reduce the variability in the singularity limits and it is demonstrated through by its wavelet variant that this modification leads to a higher resolution in the interval of interest under study.