Extrapolation for band-pass characteristics by using genetic algorithm on the DCT

Abstract

In this paper, we use the Fourier series algorithm in the design of filter. But we don't use the window functions. Instead, we use the genetic algorithm (GA) on the discrete cosine transform (DCT) of a given band-pass characteristics. This paper's method is useful on an ASIC equalizer (filter) design through the number of the coefficient is reduced. Indeed, an example shows that the proposed method can offer 1/2 decreased high order Fourier coefficients for a given band-pass characteristics. These coefficients are compressed in 1/2.