The fast wavelet transform on compact intervals as a tool in chemometrics .1. Mathematical background

被引：20

作者：

Depczynski, U

Jetter, K

Molt, K

Niemoller, A

机构：

[1] UNIV HOHENHEIM, INST ANGEW MATH & STAT, D-70593 STUTTGART, GERMANY

[2] GERHARD MERCATOR UNIV GH DUISBURG, FACHGEBIET INSTRUMENTELLE ANALYT FB 6, D-47048 DUISBURG, GERMANY

来源：

CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS | 1997年 / 39卷 / 01期

关键词：

wavelet transform; chemometrics;

D O I：

10.1016/S0169-7439(97)00068-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper gives an introduction to wavelets on the real line R 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. (C) 1997 Elsevier Science B.V.

引用

页码：19 / 27

页数：9

共 18 条

[1]

Chui C. K., 1992, An introduction to wavelets, V1

[2] ON TRIGONOMETRIC WAVELETS [J].

CHUI, CK ;

MHASKAR, HN .

CONSTRUCTIVE APPROXIMATION, 1993, 9 (2-3) :167-190

[3]

CHUI CK, 1992, INT S NUM M, V105, P53

[4]

Cohen A., 1993, Applied and Computational Harmonic Analysis, V1, P54, DOI 10.1006/acha.1993.1005

[5]

Daubechies I., 1992, CBMS NSF REGIONAL C, V61

[6]

DEPCZYNSKI U, 1996, STURM LIOUVILLE WAVE

[7]

DEPCZYNSKI U, 1996, ADV TOPICS MULTIVARI

[8]

DEPCZYNSKI U, 1995, THESIS U DUISBURG DU

[9]

FISCHER B, IN PRESS MATH COMP

[10]

Holschneider M., 1995, WAVELETS ANAL TOOL

← 1 2 →