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The Causal Complementation Algorithm for Lifting Factorization of Perfect Reconstruction Multirate Filter Banks

The Causal Complementation Algorithm for Lifting Factorization of Perfect Reconstruction Multirate Filter Banks

An intrinsically causal approach to lifting factorization, called the Causal Complementation Algorithm, is developed for arbitrary two-channel perfect reconstruction FIR filter banks. This addresses an engineering shortcoming of the inherently noncausal strategy of Daubechies and Sweldens for factoring discrete wavelet transforms, which was based on the Extended Euclidean Algorithm for …