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

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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