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

Pavlo Yu. Kostenko; Kostiantyn S. Vasiuta; S. N. Symonenko

doi:10.3103/S0735272710120022

Authors

Pavlo Yu. Kostenko Ivan Kozhedub Kharkiv National Air Force University, Ukraine https://orcid.org/0000-0002-3382-0684
Kostiantyn S. Vasiuta Ivan Kozhedub Kharkiv National Air Force University, Ukraine https://orcid.org/0000-0002-1978-3717
S. N. Symonenko Kharkiv Air Force University, Ukraine

DOI:

https://doi.org/10.3103/S0735272710120022

Keywords:

reserve of a signal, chaotic process, linear transformation, kernel Мandelbrot, BDS statistic

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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