Method for producing digital nyquist filters with null...

H - Electricity – 03 – H

Patent

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H03H 17/02 (2006.01)

Patent

CA 2335729

The invention concerns a method for producing a Nyquist digital filter with null interference between symbols, designed to process a physical signal transmitted between a transmitter and a receiver via a transmission channel, said filter being a symmetrical filter P(z) = F?2¿(z) of order N using an oversampling factor M=4, and forming an adapted pair comprising a transmitting filter and a receiving filter, the polyphase decomposition of F(z) being written: F(z) = F¿0?(z?4¿) + z?-1¿F¿1?(z?4¿) + z?-2¿F¿2?(z?4¿) + z?-3¿F¿3?(z?4¿). The invention is characterised in that N is different from 4n, n being an integer, and: If N=4n+1, F¿1?(z)F¿1?(z) + z?-1¿F¿2?(z)F¿2?(z) = .gamma.z?-n¿; If N=4+2, 2F¿0?(z)F¿0?(z) + F?2¿¿1? (z) + z?-1¿F?2¿¿3?(z) = .gamma.z?-n¿; If N=4n+3, F¿0?(z)F¿0?(z) + F¿1?(z)F¿1?(z) = .gamma.z?-n¿, F being the mirror symmetry of F and .gamma. being a non null constant.

L'invention concerne un procédé de réalisation d'un filtre numérique de Nyquist à interférences nulles entre symboles, destiné à traiter un signal physique transmis entre un émetteur et un récepteur via un canal de transmission, ledit filtre étant un filtre symétrique P(z)=F?2¿(z) d'ordre N mettant en oeuvre un facteur de suréchantillonnage M=4, et formant une paire adaptée comprenant un filtre d'émission et un filtre de réception, la décomposition polyphase de F(z) s'écrivant: F(z)=F¿0?(z?4¿)+z?-1¿F¿1?(z?4¿)+z?-2¿F¿2?(z?4¿)+z?-3¿F¿3?(z?4¿) caractérisé en ce que N est différent de 4n, n entier, et en ce que: Si N=4n+1, F¿1?(z)F¿1?(z)+z?-1¿F¿2?(z)F¿2?(z)=.gamma.z?-n¿; Si N=4n+2, 2F¿0?(z)F¿0?(z)+F?2¿¿1?(z)+z?-1¿F?2¿¿3?(z).gamma.z?-n¿; Si N=4n+3, F¿0?(z)F¿0?(z)+F¿1?(z)F¿1?(z)=.gamma.z?-n¿. F étant la symétrie miroir de F et .gamma. étant une constante non nulle.

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