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Abstract: . This paper is essentially tutorial in nature. We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple filtering steps, which we call lifting steps but that are also known as ladder structures. This decomposition corresponds to a factorization of the polyphase matrix of the wavelet or subband filters into elementary matrices. That such a factorization is possible is well-known to algebraists (and expressed... (Update)
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BibTeX entry: (Update)
I. Daubechies and W. Sweldens, "Factoring wavelet transforms into lifting steps." preprint, 1996. http://citeseer.ist.psu.edu/article/daubechies96factoring.html More
@techreport{ daubechies96factoring,
author = "Ingrid Daubechies and Wim Sweldens",
title = "Factoring Wavelet Transforms into Lifting Steps",
year = "1996",
url = "citeseer.ist.psu.edu/article/daubechies96factoring.html" }
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