A design method of multidimensional linear-phase paraunitary filter banks with a lattice structure

A lattice structure of multidimensional (MD) linear-phase paraunitary filter banks (LPPUFBs) is proposed, which makes it possible to design such filter banks in a systematic manner. The proposed structure can produce MD-LPPUFBs whose filters all have the region of support /spl Nscr/(M/spl Xi/), where M and /spl Xi/ are the decimation and an integer diagonal matrices, respectively, and /spl Nscr/ (/spl Nscr/) is the set of integer vectors in the fundamental parallelpiped of N. Since our proposed system structurally restricts both the paraunitary and linear-phase properties, an unconstrained optimization process can be used to design MD-LPPUFBs. Some design examples are included to show the significance.