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Improving communication security by complicating chaotic process attractor using linear transform with mandelbrot kernel

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Abstract

Study results of dynamic and static characteristics of linearly transformed chaotic sequence are provided. Mandelbrot kernel values obtained when converting white Gaussian noise into fractal (colored) noise are used as the transform’s weight coefficients. Evolution of distribution density of generating chaotic sequence and its complication by attractors due to linear transform is shown. Numerical security analysis of the transformed chaotic sequence on transformation kernel parameters is conducted.

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Authors and Affiliations

  1. Kharkiv Air Force University, Kharkiv, Ukraine

    P. Yu. Kostenko, K. S. Vasiuta & S. N. Symonenko

Authors
  1. P. Yu. Kostenko
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  2. K. S. Vasiuta
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  3. S. N. Symonenko
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Additional information

Original Russian Text © P.Yu. Kostenko, K.S. Vasiuta, S.N. Symonenko, 2010, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2010, Vol. 53, No. 12, pp. 14–23.

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Kostenko, P.Y., Vasiuta, K.S. & Symonenko, S.N. Improving communication security by complicating chaotic process attractor using linear transform with mandelbrot kernel. Radioelectron.Commun.Syst. 53, 636–643 (2010). https://doi.org/10.3103/S0735272710120022

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  • DOI: https://doi.org/10.3103/S0735272710120022

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