ON THE REALIZABILITY OF BIORTHOGONAL, M-DIMENSIONAL 2-BAND FILTER BANKS

In this paper, we show an algebraic approach for the design of ladder structures for causal biorthogonal filter banks. The key ingredient of the approach is known in literature as Euclid's algorithm. Using this algorithm we derive some strong result on the design freedom for ladd er structures. In particular we show that the dimensionality of the pr oblem plays an important role. We end by with some conjectures concern ing the extensions to multichannel and noncausal filter banks.