Finite signal reconstruction from its Fourier´s spectrum

Author

Emets, Vladimir ; Marchywka, Vasyl ; Pavych, Nataliya

Author_Institution

Inst. of Inf., Tech. Univ. Lodz, Poland

fYear

2000

fDate

2000

Firstpage

124

Lastpage

130

Abstract

Regularization theory for the calculation of the Fourier transformations of continuous functions that vanish at infinity is considered. The procedure is based on use of the Gaussian means. It is shown that the Tikhonov regularization method of the first order gives a stabilizing multiplier in the form of rational functions. Regularization of the continuous and discrete and fast multidimensional Fourier transformations are considered as well. The analytical study and computational treatment of the problem are presented

Keywords

Fourier transform spectra; Gaussian processes; fast Fourier transforms; rational functions; signal reconstruction; Fourier spectrum; Fourier transformations; Gaussian means; continuous functions; fast multidimensional Fourier transformations; finite signal reconstruction; first order Tikhonov regularization method; rational functions; regularization theory; stabilizing multiplier; Bellows; Fourier transforms; Gaussian processes; H infinity control; Integral equations; Kernel; Multidimensional systems; Signal reconstruction; Software engineering; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2000. DIPED - 2000. Proceedings of the 5th International Seminar/Workshop on

Conference_Location

Tbilisi

Print_ISBN

966-02-1463-4

Type

conf

DOI

10.1109/DIPED.2000.890017

Filename

890017