Wavelets and the lifting scheme

Research output: Contribution to book/anthology/report/conference proceedingEncyclopedia chapterResearchpeer-review

Abstract

The objective of this article is to give a concise introduction to the discrete wavelet transform (DWT) based on a technique called lifting. The lifting technique allows one to give an elementary, but rigorous, definition of the DWT, with modest requirements on the reader. A basic knowledge of linear algebra and signal processing will suffice. The lifting based definition is equivalent to the usual filer bank based definition of the DWT. The article does not discuss applications in any detail. The reader is referred to other articles in this collection.
Original languageEnglish
Title of host publicationComputational Complexity : Theory, Techniques, and Applications
EditorsRobert A. Meyers (Editor-in-Chief)
Number of pages25
PublisherSpringer
Publication date2012
Pages3316-3340
ISBN (Print)978-1-4614-1799-6
ISBN (Electronic)978-1-4614-1800-9
DOIs
Publication statusPublished - 2012

Fingerprint

Discrete wavelet transforms
Linear algebra
Signal processing

Cite this

la Cour-Harbo, A., & Jensen, A. (2012). Wavelets and the lifting scheme. In R. A. Meyers (Editor-in-Chief) (Ed.), Computational Complexity: Theory, Techniques, and Applications (pp. 3316-3340). Springer. https://doi.org/10.1007/978-1-4614-1800-9_206
la Cour-Harbo, Anders ; Jensen, Arne. / Wavelets and the lifting scheme. Computational Complexity: Theory, Techniques, and Applications. editor / Robert A. Meyers (Editor-in-Chief). Springer, 2012. pp. 3316-3340
@inbook{c886c4c268ec41a882b13694fcab90dc,
title = "Wavelets and the lifting scheme",
abstract = "The objective of this article is to give a concise introduction to the discrete wavelet transform (DWT) based on a technique called lifting. The lifting technique allows one to give an elementary, but rigorous, definition of the DWT, with modest requirements on the reader. A basic knowledge of linear algebra and signal processing will suffice. The lifting based definition is equivalent to the usual filer bank based definition of the DWT. The article does not discuss applications in any detail. The reader is referred to other articles in this collection.",
author = "{la Cour-Harbo}, Anders and Arne Jensen",
year = "2012",
doi = "10.1007/978-1-4614-1800-9_206",
language = "English",
isbn = "978-1-4614-1799-6",
pages = "3316--3340",
editor = "{Meyers (Editor-in-Chief)}, {Robert A.}",
booktitle = "Computational Complexity",
publisher = "Springer",
address = "Germany",

}

la Cour-Harbo, A & Jensen, A 2012, Wavelets and the lifting scheme. in RA Meyers (Editor-in-Chief) (ed.), Computational Complexity: Theory, Techniques, and Applications. Springer, pp. 3316-3340. https://doi.org/10.1007/978-1-4614-1800-9_206

Wavelets and the lifting scheme. / la Cour-Harbo, Anders; Jensen, Arne.

Computational Complexity: Theory, Techniques, and Applications. ed. / Robert A. Meyers (Editor-in-Chief). Springer, 2012. p. 3316-3340.

Research output: Contribution to book/anthology/report/conference proceedingEncyclopedia chapterResearchpeer-review

TY - ENCYC

T1 - Wavelets and the lifting scheme

AU - la Cour-Harbo, Anders

AU - Jensen, Arne

PY - 2012

Y1 - 2012

N2 - The objective of this article is to give a concise introduction to the discrete wavelet transform (DWT) based on a technique called lifting. The lifting technique allows one to give an elementary, but rigorous, definition of the DWT, with modest requirements on the reader. A basic knowledge of linear algebra and signal processing will suffice. The lifting based definition is equivalent to the usual filer bank based definition of the DWT. The article does not discuss applications in any detail. The reader is referred to other articles in this collection.

AB - The objective of this article is to give a concise introduction to the discrete wavelet transform (DWT) based on a technique called lifting. The lifting technique allows one to give an elementary, but rigorous, definition of the DWT, with modest requirements on the reader. A basic knowledge of linear algebra and signal processing will suffice. The lifting based definition is equivalent to the usual filer bank based definition of the DWT. The article does not discuss applications in any detail. The reader is referred to other articles in this collection.

U2 - 10.1007/978-1-4614-1800-9_206

DO - 10.1007/978-1-4614-1800-9_206

M3 - Encyclopedia chapter

SN - 978-1-4614-1799-6

SP - 3316

EP - 3340

BT - Computational Complexity

A2 - Meyers (Editor-in-Chief), Robert A.

PB - Springer

ER -

la Cour-Harbo A, Jensen A. Wavelets and the lifting scheme. In Meyers (Editor-in-Chief) RA, editor, Computational Complexity: Theory, Techniques, and Applications. Springer. 2012. p. 3316-3340 https://doi.org/10.1007/978-1-4614-1800-9_206