Wavelet transform applications in analytical chemistry

被引：70

作者：

Ehrentreich, F ^{[1
]}

机构：

[1] Univ Cologne, Inst Biochem, D-50674 Cologne, Germany

来源：

ANALYTICAL AND BIOANALYTICAL CHEMISTRY | 2002年 / 372卷 / 01期

关键词：

wavelet transform; wavelet packet transform; Raman spectroscopy; spike recognition; infra-red spectroscopy; spectra comparison;

D O I：

10.1007/s00216-001-1119-4

中图分类号：

Q5 [生物化学];

学科分类号：

071010 ; 081704 ;

摘要：

The wavelet transform has been established with the Fourier transform as a data-processing method in analytical chemistry. The main fields of application in analytical chemistry are related to denoising, compression, variable reduction, and signal suppression. Analytical applications were selected showing prospects and limitations of the wavelet transform. An important aspect consists in showing the advantage of wavelet transform over Fourier transform with respect to dual localization of a signal in both the original and the transformed domain enabling principal new application fields in comparison with Fourier transform.

引用

页码：115 / 121

页数：7

共 36 条

[1] Variable selection in wavelet regression models [J].

Alsberg, BK ;

Woodward, AM ;

Winson, MK ;

Rowland, JJ ;

Kell, DB .

ANALYTICA CHIMICA ACTA, 1998, 368 (1-2) :29-44

[2] An introduction to wavelet transforms for chemometricians: A time-frequency approach [J].

Alsberg, BK ;

Woodward, AM ;

Kell, DB .

CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1997, 37 (02) :215-239

[3]

[Anonymous], WAVELETS CHEM DATA H

[4] Application of wavelet transforms to experimental spectra: Smoothing, denoising, and data set compression [J].

Barclay, VJ ;

Bonner, RF ;

Hamilton, IP .

ANALYTICAL CHEMISTRY, 1997, 69 (01) :78-90

[5] THE WAVELET TRANSFORM FOR PREPROCESSING IR-SPECTRA IN THE IDENTIFICATION OF MONOSUBSTITUTED AND DISUBSTITUTED BENZENES [J].

BOS, M ;

VRIELINK, JAM .

CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1994, 23 (01) :115-122

[6] Different discrete wavelet transforms applied to denoising analytical data [J].

Cai, CS ;

Harrington, PD .

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1998, 38 (06) :1161-1170

[7] Compression of infrared spectral data using the fast wavelet transform method [J].

Chau, FT ;

Gao, JB ;

Shih, TM ;

Wang, J .

APPLIED SPECTROSCOPY, 1997, 51 (05) :649-659

[8]

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

[9] ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].

DAUBECHIES, I .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996

[10]

Daubechies I., 1993, Ten Lectures of Wavelets, V28, P350

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