Digital filter and method of design

Details Digital filter and method of design Digital filter and method of design

H - Electricity

03

H

H03H 17/06 (2006.01)

Patent

CA 2064252

A digital filter is designed by characterizing a desired filter passband in the frequency domain, transforming this representation into the time domain, selecting weighting coefficients at periodically spaced intervals from this transformed function, and weighting the coefficients with a Gaussian windowing function. This function may take the form: e-¦(2n-N)/A¦P, where A = N(-In.epsilon.)-1/P; .epsilon. < 1, .epsilon. = Window value desired at n=O and n=N (reduction ratio); N = (number of F.I.R. taps) - 1; and P = an arbitrary power.

On a conçu un filtre numérique par caractérisation d'une bande passante voulue du filtre dans le domaine des fréquences, par transformation de cette représentation dans le domaine temps, par sélection des coefficients de pondération à des intervalles espacés périodiquement à partir de cette fonction transformée, et par pondération des coefficients à l'aide d'une fonction de fenêtrage de Gauss. Cette fonction peut prendre la forme: e-](2n-N)/A]P, dans laquelle A = N(-lnepsilon-1/P; epsilon < 1, epsilon = valeur de fenêtre voulue pour n=0 et n=N (rapport de réduction); N = (nombre de prises F.I.R.) - 1; et P = une puissance arbitraire.

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