Improved Chaos Optimization Method in the Fractional Fourier Transform

Abstract

In order to overcome the inefficiency shortcoming of traditional step-based searching method for extremum seeking in two-dimensional fractional Fourier domain, the chaos optimization method is introduced and applied successfully in fractional Fourier transform. To accelerate the convergence further, two improved chaos optimization methods are proposed. The performances of the proposed optimization methods are verified by comparing with step-based method and other intelligent optimization methods such as genetic algorithms, continuous ant colony algorithm and particle swarm optimization based on simulation. Results show that the second presented chaos optimization algorithm is more preferable considering computation efficiency, precision and resolution.