DocumentCode
1625157
Title
Fourier series expansion and DFT on a moving window
Author
Homssi, L. ; Despujols, A.
Author_Institution
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
fYear
1990
Firstpage
363
Abstract
The recursive calculation of Fourier series spectra and the discrete Fourier transform (DFT) on a moving window is investigated. The basic problem is to calculate the spectra coefficients on a one-step-shifted-to-the-right window using the old coefficient values. Several formulas are presented giving the adaptation law of the time-varying spectra. The development in Fourier series expansion can be extended to the case of orthogonal polynomial series
Keywords
computerised signal processing; fast Fourier transforms; series (mathematics); DFT; Fourier series expansion; Fourier series spectra; computerised signal processing; discrete Fourier transform; moving window; orthogonal polynomial series; recursive calculation; time-varying spectra; Calculus; Discrete Fourier transforms; Equations; Fourier series; Network address translation; Polynomials; Sampling methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Industrial Electronics Society, 1990. IECON '90., 16th Annual Conference of IEEE
Conference_Location
Pacific Grove, CA
Print_ISBN
0-87942-600-4
Type
conf
DOI
10.1109/IECON.1990.149166
Filename
149166
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