Towards optimal implementation of a class of quadrature mirror filter using genetic algorithms

This paper considers theoretical issues regarding reconstruction errors and conditions for perfect reconstruction (PR) of the input signal for a 2-channel multirate quadrature mirror filter (QMF) bank. The main emphasis is on the application of genetic algorithms in the optimisation process of a new design technique for a perfect reconstruction QMF bank using infinite impulse response (IIR) filters. This design is based on using a transformation of variables technique. The genetic algorithm (GA) optimisation is used for the initial design of the QMF bank and for the IIR filters using finite word length (FWL) coefficients. The optimised results are then explored to be applied towards a real time digital signal processing implementation.