Design and implementation of linear-phase 2-channel perfect reconstruction FIR filter banks with equiripple stopband

Abstract

This paper presents a design and implementation method for linear phase 2-channel perfect reconstruction FIR filter banks with arbitrary filter length. In this method, which we call the weighted Lagrange-Newton method, by introducing the least squares weighting function into Horng's method (Lagrange-Newton method), QMF (Quadrature Mirror Filters) with good stopband attenuation can be designed. Furthermore, we show the construction of a 2-channel perfect QMF that achieves perfect reconstruction in spite of coefficient quantization.