This paper considers theoretical issues concerning 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 optimisation of a new design of a perfect reconstruction QMF bank using infinite impulse response (IIR) filters based on 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 coefficients. The optimised results are then applied to a real time digital signal processing kit. Finally, some test results for data compression achievable using different values of encoded bits are included.

optimization, quadrature mirror filter bank, genetic algorithms, IIR filters, multirate filter bank, real-time implementation, pulse code modulation, polyphase decomposition