Integral equation of convolution type: a new algorithm for analytical deconvolver computing

✍ Scribed by V.G. Voinov; V.E. Dorof́eyev

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 404 KB
• Volume: 81
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(94)90083-3

✦ Synopsis

A new procedure of calculation of an inverse filter (deconvolver), which gives an exact solution of an integral equation of convolution type, is suggested. The procedure is based upon the analytical determination of the deconvolver by the apparatus function. As a result the accuracy of the solution through the deconvolver does not depend upon the number of points over which apparatus function is sampled. The method suggested allows one to perform the deconvolution even when it is impossible to do by ordinary approaches such as iterative methods and algorithms based on the Fourier transformation. Series of illustrative examples using computer simulation for different analytical functions are included.

for the Maxwellian type apparatus function [13],