Wavelet transform: A method for derivative calculation in analytical chemistry

被引：66

作者：

Leung, AKM

Chau, FT ^{[1
]}

Gao, JB

机构：

[1] Hong Kong Polytech Univ, Union Lab Asymmetr Synth, Kowloon, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Biol & Chem Technol, Kowloon, Peoples R China

[3] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

来源：

ANALYTICAL CHEMISTRY | 1998年 / 70卷 / 24期

关键词：

D O I：

10.1021/ac9803737

中图分类号：

O65 [分析化学];

学科分类号：

070302 ; 081704 ;

摘要：

A novel method based on wavelet transform is proposed in this work for approximate derivative calculation. An approximate first derivative of an analytical signal can be expressed as the difference between the two scale coefficients C-1, which were generated from any two Daubechies wavelet functions. The optimal results for both synthetic and experimental data were obtained with the use of the Daubechies wavelet functions D-8 and D-18. Our work demonstrated that the new method can enhance the signal-to-noise ratio at higher order derivative calculation and retain all major properties of the conventional methods.

引用

页码：5222 / 5229

页数：8

共 33 条

[1]

ADAMS MJ, 1995, CHEMOMETRICS ANAL SP, P54

[2]

[Anonymous], 1992, INTRO WAVELETS

[3]

[Anonymous], 1993, Ten Lectures of Wavelets

[4] Step by step filter - An approach for noise reduction in the derivative UV-visible spectra [J].