On lattice factorization of symmetric-antisymmetric multifilter banks

We introduce a new structure for symmetric-antisymmetric multiwavelets (SAMWTs) and symmetric-antisymmetric multifilter banks (SAMFBs). First, by exploring the connection between SAMFBs and traditional (scalar) linear phase perfect reconstruction filter banks (LPPRFBs), we show that the implementation and design of an SAMFB can be converted into that of a LPPRFB. Then, based on the lattice factorization for LPPRFBs, we propose a fast, modular, minimal structure for SAMFBs. To demonstrate the effectiveness of the proposed lattice structure, a multiplierless SAMWT design example is presented along with its application in image coding.