Abstract

The set of functions that can be deconvoluted is extended. An explicit form of the deconvolution operator is obtained by generalization of the operator of even derivation. The advantages of the deconvolution to derivation, when the former is used for resolution enhancement, are given analytically.

Deconvolution by derivative operation

J. Y. Dong
J. Opt. Soc. Am. B 5(12) 2548-2551 (1988)

Derivative Spectroscopy

Frederic R. Stauffer and Hajime Sakai
Appl. Opt. 7(1) 61-65 (1968)

Fourier Transform versus Grating Spectroscopy

H. A. Gebbie
Appl. Opt. 8(3) 501-504 (1969)

Frequency-wavelet domain deconvolution for terahertz reflection imaging and spectroscopy

Yang Chen, Shengyang Huang, and Emma Pickwell-MacPherson
Opt. Express 18(2) 1177-1190 (2010)

Cramer–Rao bound and phase-diversity blind deconvolution performance versus diversity polynomials

Jean J. Dolne and Harold B. Schall
Appl. Opt. 44(29) 6220-6227 (2005)