Open AccessConstrained deconvolution by explicit correction of fourier components of the unknown distribution
Author(s) -
S. Jankov
Publication year - 1999
Publication title -
serbian astronomical journal/serbian astronomical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.196
H-Index - 16
eISSN - 1820-9289
pISSN - 1450-698X
DOI - 10.2298/saj9959031j
Subject(s) - deconvolution , extrapolation , physics , noise (video) , fourier transform , quadratic equation , distribution (mathematics) , fourier analysis , mathematics , spectrum (functional analysis) , mathematical analysis , algorithm , optics , computer science , quantum mechanics , geometry , artificial intelligence , image (mathematics)
The physical constraints were applied in the problem of deconvolution by explicitly correcting noise affected Fourier components of the unknown distribution. The method gives the constrained estimate optimal in the quadratic sense, i.e. the estimate closest to the exact solution in the Euclidean space of solutions. The properties of the method were theoretically examined and some practical applications in the astronomical spectroscopy have been effected. The method is compared with the similar Fourier spectrum extrapolation procedures; as a consequence application of the method is recommended particularly in the case of low signal-to-noise measurements