Provider: ingentaconnect
Database: ingentaconnect
Content: application/x-research-info-systems
TY - ABST
AU - Yeow, Y. Leong
AU - Leong, Y. K.
TI - A General Computational Method for Converting Normal Spectra into Derivative Spectra
JO - Applied Spectroscopy
PY - 2005-05-01T00:00:00///
VL - 59
IS - 5
SP - 584
EP - 592
KW - ILL-POSED PROBLEM
KW - SPECTRAL CONVERSION
KW - TIKHONOV REGULARIZATION
KW - INTEGRAL EQUATION
KW - DERIVATIVE SPECTRA
N2 - 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.
UR - http://www.ingentaconnect.com/content/sas/sas/2005/00000059/00000005/art00007
M3 - doi:10.1366/0003702053946056
UR - http://dx.doi.org/10.1366/0003702053946056
ER -