Frequency Transformations in Two-Band Wavelet IIR Filter Banks

We consider an extension of the ordinary dyadic wavelet transform implemented by iteration of the two-band orthogonal rational filter banks on the lowpass branch that provides a flexible orthogonal tiling of the time-frequency plane. We design the rational two-band orthogonal IIR filter banks starting from the fifth order halfband filter bank with desired regularity order and generate pertaining wavelet and scaling functions. The implementation is based on the lattice wave digital filter structures. We show the appropriate time-frequency plane tiling