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
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;
Conference_Titel :
Industrial Electronics Society, 1990. IECON '90., 16th Annual Conference of IEEE
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-87942-600-4
DOI :
10.1109/IECON.1990.149166
