Zero-phase filter bank and wavelet code r matrices: Properties, triangular decompositions, and a fast algorithm (Q678236)

Unimodular polyphase matrices with the identity matrix for Smith canonical form and several matrix shift operators of different dimensions are introduced. It is shown that the ladder and block-triangular matrix decomposition makes the realization of the desirable class of DFB's with zero-phase filters more economical than either of the other classes. The computational efficiency of the ladder decomposition is examined and compared with the lattice decomposition.