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1.ÆÚ¿¯Ãû£ºAnalytical Sciences
2009, 25(11), 1339
Yuanlu LI
Fractional-order Differentiation of the Gaussian Function for Processing Overlapped Peaks

2.ÆÚ¿¯Ãû£ºAnal Bioanal Chem (2009) 394:637¨C645
Yuanlu LI
Using the Tsallis distribution and the fractional differentiation to resolve the overlapping bands
DOI 10.1007/s00216-009-2705-0
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Accession number:  20091912071643

Title:  Using the Tsallis distribution and the fractional differentiation to resolve the overlapping bands

Authors:  Li, Yuanlu1  

Author affiliation:  1  College of Information and Control, Nanjing University of Information Science and Technology, Nanjing 210044, China


Corresponding author:  Li, Y. (yuanlu_li@yahoo.com.cn)  

Source title:  Analytical and Bioanalytical Chemistry

Abbreviated source title:  Anal. Bioanal. Chem.

Volume:  394

Issue:  2

Issue date:  May 2009

Publication year:  2009

Pages:  637-645

Language:  English

ISSN:  16182642

E-ISSN:  16182650

CODEN:  ABCNBP

Document type:  Journal article (JA)

Publisher:  Springer Verlag, Tiergartenstrasse 17, Heidelberg, D-69121, Germany

Abstract:  Using the Tsallis distribution, which facilitates the generalization of well-known distributions such as Gaussian and Lorentzian by varying a non-extensivity parameter q as a model of the individual band to correctly assign overlapping bands and the fractional differentiation as mathematical tool to help to determine the spectral parameters of the individual band, a new resolution method for the overlapping bands is presented. According to variation of the maximum and the zero-crossing of the Tsallis distribution at different differential order, two types of parameter estimators are obtained, which are utilized to calculate the parameters of position, height, and width of Tsallis distribution. To verify the suggested method, separation of several kinds of overlapping bands simulated by computer and the experimental infrared spectrum of 1,2-bromofluoroethane have been performed and discussed. © 2009 Springer-Verlag.

Number of references:  21

Main heading:  Parameter estimation

Controlled terms:  Infrared spectroscopy

Uncontrolled terms:  Fractional differentiation  -  Gaussian  -  Infrared spectrum  -  Mathematical tools  -  Non-extensivity  -  Overlapping bands  -  Parameter estimators  -  Resolution methods  -  Spectral parameters  -  Tsallis distribution   -  Zero crossings

Classification code:  731.1 Control Systems  -  741.1 Light/Optics  -  931.2 Physical Properties of Gases, Liquids and Solids  -  941.4 Optical Variables Measurements

DOI:  10.1007/s00216-009-2705-0

Database:  Compendex

   Compilation and indexing terms, © 2009 Elsevier Inc.

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