Complex Exponential Modulated Quadrature Filter Bank Design Based on Chaos Game Optimization Algorithm

Abstract

The design approach presented in this paper uses a new metaheuristic method Chaos Game Optimization (CGO) to design a 2-channel quadrature mirror filter (QMF) banks. For this study, finite impulse response (FIR) low-pass prototype filter coefficients are optimized to minimize the cost function. The cost function is formulated as the sum of four terms: the square sum of the errors between this estimated frequency response and the ideal filter response, passband ripple, stopband ripple, and stopband edge frequency error. These parameters are important components of FIR filter prototype design that are often used alone in many studies. To obtain a QMF bank prototype filter, prototype filter modulated with an appropriate complex exponential signal. The produced design results of the proposed method like performance parameters, frequency responses of prototype filters and QMF bank results are presented and compared with earlier reported results. The results show that the presented study has significant improvement in the performance parameters of QMF banks and prototype filter.