Peculiarity of some nonperiodical signals Fourier transform definition

Author

Filatov, A.V. ; Novitsky, S.P.

Author_Institution

Novosibirsk State Univ., Russia

fYear

1998

fDate

1998

Firstpage

240

Lastpage

245

Abstract

The special features of Fourier transform practical definition of nonperiodical signals independent of frequency band are considered. For Fourier transform definition of such signals represented by discrete samples, preliminary restoration of continuous signals by interpolation of the third or higher degrees Lagrange interpolational splines is described. With an example of interpolation polynomial Lagrange of the third degree, formulas for Fourier transform definition of a signal on a discrete grid of frequencies are shown. The errors of Fourier transform definition of an exponential signal represented by Lagrange interpolational splines of the second and higher degree are analyzed

Keywords

Fourier transforms; interpolation; measurement errors; signal processing; splines (mathematics); Fourier transform; Lagrange interpolational splines; errors; exponential signal; iscrete grid; nonperiodical signals; polynomial; signal; Discrete Fourier transforms; Discrete transforms; Frequency; Interpolation; Lagrangian functions; Least squares approximation; Polynomials; Sampling methods; Signal analysis; Signal restoration;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronic Instrument Engineering Proceedings, 1998. APEIE-98. Volume 1. 4th International Conference on Actual Problems of

Conference_Location

Novosibirsk

Print_ISBN

0-7803-4938-5

Type

conf

DOI

10.1109/APEIE.1998.768956

Filename

768956