Evaluating the third and fourth derivatives of spectral data |
| |
Authors: | Yeow Y Leong Azali Safura Ow S Yen Wong May C L Leong Yee-Kwong |
| |
Institution: | a Department of Chemical and Biomolecular Engineering, The University of Melbourne, Vic. 3010, Australia b School of Engineering, James Cook University, Townsville, Qld 4811, Australia |
| |
Abstract: | The problem of differentiating spectral data to yield the third and fourth derivatives is converted into one of solving an integral equation of the first kind. This equation is solved by Tikhonov regularization. The method of General Cross Validation is used to guide the choice of the regularization parameter that keeps noise amplification under control. The performance of this route to third and fourth derivative spectra is demonstrated by applying it to a number of published spectra. A computational problem associated with General Cross Validation has been identified. |
| |
Keywords: | Spectral conversion Higher derivative spectra Ill-posed problem Integral equation Tikhonov regularization |
本文献已被 ScienceDirect PubMed 等数据库收录! |