Procedure for synthesizing a finite pulse response digital...

H - Electricity – 03 – H

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H03H 17/06 (2006.01)

Patent

CA 2207670

This invention concerns a procedure for synthesizing a finite pulse response digital filter including a phase for calculating the pulse response g(t) of an analog filter whose transfer function is defined by a bandwidth B, a duty cycle SF, and an attenuation level out of band A pre-determined, and a phase for extracting the coefficients of the digital filter by sampling of the said pulse response. According to the invention, the calculation phase consists in effecting development of the pulse response to a whole number M of Hermite functions pre-determined according to the said duty cycle SF, and the phase for extracting the coefficients comprises a sampling of the developed pulse response resulting from the calculation phase in a time window the duration of which depends on the said attenuation level out of band A, with a sampling pitch .DELTA.t determined by the said bandwidth B.

La présente invention concerne un procédé de synthèse d'un filtre numérique à réponse impulsionnelle finie comprenant une phase de calcul de la réponse impulsionnelle g(t) d'un filtre analogique dont la fonction de transfert est définie par une largeur de bande B, un facteur de forme SF, et un niveau d'atténuation hors bande A prédéterminés, et une phase d'extraction des coefficients du filtre numérique par échantillonnage de ladite réponse impulsionnelle. Selon l'invention, la phase de calcul consiste à effectuer un développement de la réponse impulsionnelle en un nombre entier M de fonctions de Hermite prédéterminé en fonction dudit facteur de forme SF, et la phase d'extraction des coefficients comporte un échantillonnage de la réponse impulsionnelle développée issue de la phase de calcul sur une fenêtre temporelle dont la durée est fonction dudit niveau d'atténuation hors bande A, avec un pas d'échantillonnage .DELTA.t fonction de ladite largeur de bande B.

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