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All-pole equiripple approximations to arbitrary functions of frequency. (English) Zbl 1077.94003

The author determines a rational all-pole equiripple approximation to any arbitrary magnitude response in the frequency domain. This technique accommodates real and complex singularities. The method allows the designer to specify simultaneously both the ripple factor and the frequency range over which the approximation is to hold. The technique is illustrated by an application in telecommunications.

MSC:

94A05 Communication theory
41A20 Approximation by rational functions
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References:

[1] Baez-Lopez, D. and Jimenez-Fernandez, V. (2000), ”Modified Chebyshev filter design”,IEEE Proceedings of the 2000 Canadian Conference on Electrical and Computer Engineering, Vol. 2, pp. 642-6. · doi:10.1109/CCECE.2000.849544
[2] DOI: 10.1080/00207218708939189 · doi:10.1080/00207218708939189
[3] DOI: 10.1109/22.588597 · doi:10.1109/22.588597
[4] Macchiarella, G. (1995), ”An effective technique for the synthesis of an equiripple low pass prototype filter with asymmetric frequency response and arbitrary transfer function zeros”,25th European Microwave Conference (Bologna). · doi:10.1109/EUMA.1995.337055
[5] Milosavljevic, Z.D. and Gmitrovic, M.V. (1997), ”A class of generalized Chebyshev low-pass prototype filter design”,AEU – International Journal of Electronics and Communications, Vol. 51, pp. 311-4.
[6] Remez, E. (1934), ”Sur le calcul effectif des polynomes d’approximation de Tchebychef”,Compt. Rend. Acad. Sci.(Paris), Vol. 199, pp. 337-40.
[7] DOI: 10.1049/ip-cds:19941106 · doi:10.1049/ip-cds:19941106
[8] DOI: 10.1049/el:19770411 · doi:10.1049/el:19770411
[9] DOI: 10.1080/00207217808900927 · doi:10.1080/00207217808900927
[10] DOI: 10.1080/00207217908901022 · doi:10.1080/00207217908901022
[11] DOI: 10.1080/00207219308907092 · doi:10.1080/00207219308907092
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