Lattice Structure for Regular Paraunitary Linear-Phase Filterbanks and M-Band Orthogonal Symmetric Wavelets

Orthogonal M-channel uniform linear-phase lter banks (GenLOT) can be designed and implemented using lattice structure. This paper discusses the conditions of the lattice structures that yield regular GenLOTs. For one regularity, the relations among the plane rotation angles in the lattice structure will be derived, and can be used to design regular GenLOTs. Since the conditions for higher degree of regularity are much more complex, in the paper, we shall study these conditions for two regularities. Some examples of lter bank designs are presented, and applied to image coding. The simulation results show that lter bank with higher degree of regularity provides smoother reconstruction images.