A new method is introduced to obtain a strong signal by the interference of weak signals in noisy channels. The method is based on the interference of 1/f noise from parallel channels. One realization of stochastic interference is the auditory nervous system. Stochastic interference may have broad potential applications in information transmission by parallel noisy channels. The method of stoch...

This paper proposes a stochastic bounded stabilization method for a class of stochastic port-Hamiltonian systems. Both full-actuated and underactuated mechanical systems in the presence of noise are considered in this class. The proposed method gives conditions for the controller gain and design parameters under which the state remains bounded in probability. The bounded region and achieving pr...

It is well-known that natural surfaces can be very accurately described in terms of fractal geometry. In fact, natural surfaces exhibit statistical scale-invariance properties that are very well modeled by using the 2D fractional Brownian motion (fBm) stochastic process. Therefore, for all of the applications in which it is of interest to compute the electromagnetic scattering from natural surf...

In this paper a hybrid technique of Genetic Algorithm and Simulated Annealing (HGASA) is applied for Fractal Image Compression (FIC). With the help of this hybrid evolutionary algorithm effort is made to reduce the search complexity of matching between range block and domain block. The concept of Simulated Annealing (SA) is incorporated into Genetic Algorithm (GA) in order to avoid pre-mature c...

A Fractal Evolutionary Particle Swarm Optimization (FEPSO) is proposed based on the classical particle swarm optimization (PSO) algorithm. FEPSO applies the fractal Brownian motion model used to describe the irregular movement characteristics to simulate the optimization process varying in unknown mode, and include the implied trends to go to the global optimum. This will help the individual to...

Fractal image compression is promising both theoretically and practically. The encoding speed of the traditional full search method is a key factor rendering the fractal image compression unsuitable for real-time application. The primary objective of this paper is to investigate the comprehensive coverage of the principles and techniques of fractal image compression, and describes the implement...

We review the basics of fractal calculus, define Fourier transformation on thin Cantor-like sets and introduce versions Brownian motion fractional motion. Fractional is defined with use non-local derivatives. The Hurst exponent suggested, its relation order derivatives established. relate Gangal derivative a one-dimensional stochastic to after an averaging procedure over ensemble random realiza...