Improved crossover filters and method

H - Electricity – 04 – R

Patent

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H04R 3/14 (2006.01)

Patent

CA 2382512

An improved filter system is disclosed including a low pass filter having a response which rolls off towards a crossover frequency and a high pass filter having a complementary response which rolls off towards the crossover frequency. The responses are arranged such that the combined response of the filters is substantially constant in amplitude at least in the region of the crossover frequency. The response of the low pass filter is defined by a low pass complex transfer function having a first numerator and a first denominator. The response of the high pass filter is defined by a high pass complex transfer function having a second numerator and a second denominator. The desired response is obtained when the second denominator is substantially the same as the first denominator and the sum of the first and second numerators has substantially the same squared modulus as the first or second denominator.

L'invention concerne un système de filtre amélioré comprenant un filtre passe-bas dont une réponse se déroule vers une fréquence de coupure, et un filtre passe-haut dont une réponse complémentaire se déroule vers la fréquence de coupure. Ces réponses sont aménagées de façon que la réponse combinée des filtres soit sensiblement constante au niveau de l'amplitude au moins dans la région de la fréquence de coupure. La réponse du filtre passe-bas est définie par une fonction de transfert complexe passe-bas ayant un premier numérateur et un premier dénominateur. La réponse du filtre passe-haut est définie par une fonction de transfert complexe passe-haut ayant un second numérateur et un second dénominateur. La réponse voulue s'obtient lorsque le second dénominateur correspond sensiblement au premier dénominateur, la somme des premier et second numérateurs ayant sensiblement le même carré de module que le premier ou second dénominateur.

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