Published In
Review of Scientific Instruments
Document Type
Article
Publication Date
2-2008
Subjects
Cavity-ringdown spectroscopy, Regression analysis, Fourier transformations, Exponential functions
Abstract
Several computational methods are presented for the rapid extraction of decay time constants from discrete exponential data. Two methods are found to be comparably fast and highly accurate. They are corrected successive integration and a method involving the Fourier transform (FT) of the data and the application of an expression that does not assume continuous data. FT methods in the literature are found to introduce significant systematic error owing to the assumption that data are continuous. Corrected successive integration methods in the literature are correct, but we offer a more direct way of applying them which we call linear regression of the sum. We recommend the use of the latter over FT-based methods, as the FT methods are more affected by noise in the original data.
Persistent Identifier
http://archives.pdx.edu/ds/psu/15190
Citation Details
Everest, M. A., & Atkinson, D. B. (2008). Discrete sums for the rapid determination of exponential decay constants. Review Of Scientific Instruments, 79(2), 023108.
Description
This is the publisher's final PDF. Article appears in Review of Scientific Instruments (http://scitation.aip.org/content/aip/journal/rsi) and is copyrighted 2008 by the American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
The article is available online at: http://dx.doi.org/10.1063/1.2839918