The obtaining of window function having useful spectral parameters by helping of uniform scattered genetic algorithms

Abstract

The window functions are two types as fixed and adjustable according to their parameters. In this study, a new approach for window functions which is preferred at many application areas has been improved. Kaiser and Ultraspherical windows are function having adjustable parameter feature and the using of uniform scattered Genetic Algorithm (GA) at design of useful window function containing together good properties of those windows was proposed. With proposed method, a new window function that has side-lobe roll-off ratio characteristic of Ultraspherical window and Kaiser window's main-lobe width and ripple ratio was obtained and the coefficient values of this window function was calculated by helping GA. At work, GAs having different initial population was used at calculation of spectral parameter values. The obtained results show that to get result, uniform scattered GA is more successful than having random produced population. In addition; it is shown that with regards to spectral parameters, the obtained results from improved window function provide better spectral behavior than the other window function at literature.