Lattice structure for multifilters derived from complex-valued scalar filter banks
Kurt A. Johnson, Truong Q. Nguyen · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996
Multiwavelet-based filter banks, unlike filter banks based on scalar wavelets, are able to provide simultaneously orthogonality, linear phase, and short support. However, a general lattice structure for multifilters, analogous to that available for scalar filter banks has yet to be determined.. Such lattice structures have considerable advantages for both theory and design. This paper derives a complete and minimal lattice structure for a class of 2- wavelet multifilters which are based on complex-valued orthogonal scalar filter banks. An example derived from the Daubechies D6 wavelet is presented, along with considerations of how requiring symmetry and higher approximation order restricts the lattice coefficients.