A quantitative evaluation of various iterative deconvolution algorithms

Author

Crilly, Paul Benjamin

Author_Institution

Dept. of Electr. & Comput. Eng., Tennessee Univ., Knoxville, TN, USA

Volume

40

Issue

3

fYear

1991

fDate

6/1/1991 12:00:00 AM

Firstpage

558

Lastpage

562

Abstract

Various iterative deconvolution algorithms are evaluated that are commonly used to restore degraded chromatographic or spectroscopic peak data. The evaluation criteria include RMS errors, relative errors in peak areas, peak area variances, and rate of convergence. The iterative algorithms to be evaluated include Van Cittert´s method, Van Cittert´s method with constraint operators, relaxation based methods, and Gold´s ratio method. The discussion also includes some enhancements that will improve the algorithms´ convergence properties

Keywords

convergence of numerical methods; error analysis; iterative methods; Gold´s ratio method; RMS errors; Van Cittert´s method; chromatography; constraint operators; evaluation criteria; iterative deconvolution algorithms; peak area variances; rate of convergence; relative errors; relaxation based methods; spectroscopic peak data; Convergence; Convolution; Deconvolution; Degradation; Distortion measurement; Fourier transforms; Instruments; Iterative algorithms; Iterative methods; Spectroscopy;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.87019

Filename

87019