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 publicationEncyclopedia of Complexity and Systems Science
EditorsRobert A. Meyers (Editor-in-Chief)
Number of pages25
PublisherSpringer
Publication date2009
Pages10007-10031
ISBN (Print)9780387758886
Publication statusPublished - 2009

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Discrete wavelet transforms
Linear algebra
Signal processing

Cite this

la Cour-Harbo, A., & Jensen, A. (2009). Wavelets and the lifting scheme. In R. A. Meyers (Editor-in-Chief) (Ed.), Encyclopedia of Complexity and Systems Science (pp. 10007-10031). Springer.
la Cour-Harbo, Anders ; Jensen, Arne. / Wavelets and the lifting scheme. Encyclopedia of Complexity and Systems Science. editor / Robert A. Meyers (Editor-in-Chief). Springer, 2009. pp. 10007-10031
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la Cour-Harbo, A & Jensen, A 2009, Wavelets and the lifting scheme. in RA Meyers (Editor-in-Chief) (ed.), Encyclopedia of Complexity and Systems Science. Springer, pp. 10007-10031.

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

Encyclopedia of Complexity and Systems Science. ed. / Robert A. Meyers (Editor-in-Chief). Springer, 2009. p. 10007-10031.

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

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la Cour-Harbo A, Jensen A. Wavelets and the lifting scheme. In Meyers (Editor-in-Chief) RA, editor, Encyclopedia of Complexity and Systems Science. Springer. 2009. p. 10007-10031