Multidimensional linear-phase perfect reconstruction filter banks with higher order feasible building blocks

In this paper, we propose multidimensional (MD) linear-phase perfect reconstruction filter banks (LPPRFBs) with higher order feasible (HOF) building blocks. Since existing HOF building blocks are only applicable for one-dimensional LPPRFBs, we generalize them to MD LPPRFBs. The generalized structure can design MD LP-PRFBs with HOF building blocks for both even and odd number of channels. The proposed MD-LPPRFBs realize large filter sizes with fewer number of building blocks than the traditional order-1 structures.