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The fast wavelet transform on compact intervals as a tool in chemometrics. I. Mathematical background

✍ Scribed by U. Depczynski; K. Jetter; K. Molt; A. Niemöller

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 644 KB
Volume: 39
Category: Article
ISSN: 0169-7439
DOI: 10.1016/s0169-7439(97)00068-3

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✦ Synopsis

This paper gives an introduction to wavelets on the real line [w and on compact intervals. Fast decomposition and reconstruction algorithms are presented in detail, including pseudocodes. The time frequency localization properties of wavelets are demonstrated on a numerical example related to spectrometry. 0 1997 Elsevier Science B.V.

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This paper addresses a commonly observed problem with applying wavelet transforms WT to signals from laboratory measurements. These are the boundary effects which occur when analyzing finitely supported signals. The usual methods of how to avoid these kind of artefacts are discussed, and a solution