Best multiband filter problem

This mini-review examines the problems of geometric function theory that arise in the synthesis of electric filters, and in particular the work of A. A. Gonchar on the generalisation of Zolotarev’s third problem. The modern development of this topic is described, in particular the method of algebro-geometric Ansatz.

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Publication Details

Journal
Transactions of the Moscow Mathematical Society
Published
2024-09-16
DOI
https://doi.org/10.1090/mosc/343
Primary Topic
Digital Filter Design and Implementation
Type
article
Field-Weighted Citation Impact
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article

Best multiband filter problem

Андрей Борисович Богатырев
Transactions of the Moscow Mathematical Society
Digital Filter Design and Implementation
article

Best multiband filter problem

Андрей Борисович Богатырев
article en

Abstract

This mini-review examines the problems of geometric function theory that arise in the synthesis of electric filters, and in particular the work of A. A. Gonchar on the generalisation of Zolotarev’s third problem. The modern development of this topic is described, in particular the method of algebro-geometric Ansatz.

Transactions of the Moscow Mathematical Society
Russian Academy of Sciences (RU), Institute of Numerical Mathematics (RU)
Openalex Percentile: Top 83%
Digital Filter Design and Implementation
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Best multiband filter problem — Андрей Борисович Богатырев · Transactions of the Moscow Mathematical Society (2024) | TGRS Research Map | TGRS