Projective view at optimization problem for multiband filter

DOI10.1090/proc/15452zbMath1477.41007arXiv1912.00197OpenAlexW3124494879MaRDI QIDQ4990355

Andrei Borisovich Bogatyrev

Publication date: 28 May 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00197

zbMATH Keywords

alternationansatz methoduniform rational approximationequiripple propertyoptimization of electrical filtersStiefel class

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Optimality conditions for minimax problems (49K35) Circuits in qualitative investigation and simulation of models (94C60)

Cites Work

• On the numerical determination of the best approximations in the Chebyshev sense
• Analytical approach to multiband filter synthesis and comparison to other approaches
• Extremal Polynomials and Riemann Surfaces
• Chebyshev representation for rational functions
• Methods—Old and New—for Solving the Tchebycheff Approximation Problem
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