Method for estimating the frequency of a time signal

Details Method for estimating the frequency of a time signal Method for estimating the frequency of a time signal

G - Physics

01

R

G01R 23/16 (2006.01)

Patent

CA 2319169

The invention relates to a method for estimating the frequency of a time signal by means of a discrete Fourrier transformation and interpolation between support points of the DFT spectrum. According to said method, the hamming window is used in a known manner for filtering and the interpolation is carried out according to a mathematically calculated solution. The method makes use of the fact that a function of the third degree which can serve as a correction distance has a clear solution within the definition range of the amount ratio between a secondary maximum and a primary maximum of the DFT spectrum. The correction distance is calculated according to this solution on the basis of the ratio of the secondary maximum and the primary maximum.

L'invention concerne un procédé permettant d'estimer la fréquence d'un signal horaire par transformation de Fourier discrète et interpolation entre des points d'appui du spectre de TFD. Il est prévu d'utiliser de manière connue en soi, la fenêtre de Hamming pour filtrer et de procéder à l'interpolation selon une solution résolue mathématiquement. A cet effet, ce procédé se fonde sur le fait qu'une fonction du troisième degré pouvant être établie pour l'écart de rectification, présente une solution résolue de manière univoque dans la plage de définition du rapport de valeur absolue entre le maximum secondaire et le maximum principal du spectre de TFD. Le calcul de l'écart de rectification s'effectue d'après cette solution sur la base du rapport du maximum secondaire et du maximum principal.

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