College of Electronic and Information Engineering, Hebei University, Baoding, 071000, China

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Abstract—This paper introduces multifractal theory into the research of chaotic channels, and a novel model of chaotic channel is established from nonlinear science standpoint. By studying the relationship between multifractal dimensions and work environments, increments probability distribution, and statistical self-similarity of low power line communication (L-PLC) channel which is a typical chaotic channel, we find that multifractal dimensions are key parameters for describing the chaotic channel, and reveal the inherent relationship between the chaotic channel and Fractional Brownian Motion (FBM) model. Finally, the multifractal model of chaotic channel based on FBM theory is established and applied to reconstructing received signals accurately.

Index Terms—multifractal, chaos, modeling, Fractional Brownian Motion

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Cite: Zhenchao Wang and Pei Du, "Multifractal Analysis and Modeling of Chaotic Channels," Journal of Software vol. 7, no. 3, pp. 718-723, 2012.