Design and implementation of linear‐phase two‐channel perfect reconstruction finite impulse response filter banks with equiripple stopband

This paper presents a design and implementation method for the linear phase two‐channel perfect reconstruction finite impulse response (FIR) filter banks with arbitrary filter lengths. This method is labeled a weighted Lagrange‐Newton method; it is obtained by introducing the least squares weighting function into the Lagrange‐Newton method. Filter banks with good stopband attenuation (equiripple stopband) can be designed using this method. Furthermore, a new method is presented that makes the filter banks with a lattice structure using the property of a polyphase component matrix. the filter banks can achieve perfect reconstruction in spite of coefficient quantization.