@inbook{ae1ab4145b404454ac2df080f4b01edf,
title = "Wavelet transforms by nearest neighbor lifting",
abstract = "We show that any discrete wavelet transform (DWT) using finite impulse response (FIR) filters may be factored into lifting steps that use only nearest neighbor array elements. We then discuss the advantages and disadvantages of imposing this additional requirement.",
keywords = "Condition number, Euclid{\textquoteright}s algorithm, Laurent polynomial, Partial division, Polyphase matrix, Shift matrix, Symmetric division, Symmetric extension lifting step, Z transform",
author = "Wei Zhu and Wickerhauser, \{M. Victor\}",
note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media New York 2013.",
year = "2013",
doi = "10.1007/978-0-8176-8379-5\_9",
language = "English",
series = "Applied and Numerical Harmonic Analysis",
publisher = "Springer International Publishing",
number = "9780817683788",
pages = "173--192",
booktitle = "Applied and Numerical Harmonic Analysis",
edition = "9780817683788",
}