A general computational method for converting normal spectra into derivative spectra

Yeow, Y Leong, and Leong, Yee-Kwong (2005) A general computational method for converting normal spectra into derivative spectra. Applied Spectroscopy, 59 (5). pp. 584-592.

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Abstract

The mathematical problem of converting a normal spectrum into the corresponding first- and second-derivative spectra is formulated as an integral equation of the first kind. Tikhonov regularization is then applied to solve the spectral conversion problem. The end result is a set of linear algebraic equations that takes in as input the original spectrum and produces as output the second-derivative spectrum, which is then integrated to yield the first-derivative spectrum. Noise amplification is kept under control by adjusting the regularization parameter (guided by generalized cross-validation) in the algebraic equations. The performance of this procedure is demonstrated by applying it to different types of spectral data taken from the literature.

Item ID: 5776
Item Type: Article (Refereed Research - C1)
Keywords: derivative spectra; ill-posed problem; integral equation; spectral conversion; tikhonov regularization
ISSN: 1943-3530
Date Deposited: 22 Dec 2009 03:12
FoR Codes: 09 ENGINEERING > 0904 Chemical Engineering > 090499 Chemical Engineering not elsewhere classified @ 60%
03 CHEMICAL SCIENCES > 0306 Physical Chemistry (incl Structural) > 030606 Structural Chemistry and Spectroscopy @ 40%
SEO Codes: 86 MANUFACTURING > 8606 Industrial Chemicals and Related Products > 860699 Industrial Chemicals and Related Products not elsewhere classified @ 100%
Citation Count from Web of Science Web of Science 7
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