Group Lifting Structures for Multirate Filter Banks I: Uniqueness of Lifting Factorizations
Group Lifting Structures for Multirate Filter Banks I: Uniqueness of Lifting Factorizations
Group lifting structures are introduced to provide an algebraic framework for studying lifting factorizations of two-channel perfect reconstruction finite-impulse-response (FIR) filter banks. The lifting factorizations generated by a group lifting structure are characterized by Abelian groups of lower and upper triangular lifting matrices, an Abelian group of unimodular gain scaling …