Recent Progress in Optimization of Multiband Electrical Filters
Abstract
The best uniform rational approximation of the \emph{sign} function on two intervals was explicitly found by Russian mathematician E.I. Zolotar\"ev in 1877. The progress in math eventually led to the progress in technology: half a century later German electrical engineer and physicist W.Cauer has invented low- and high-pass electrical filters known today as elliptic or Cauer-Zolotar\"ev filters and possessing the unbeatable quality. We discuss a recently developed approach for the solution of optimization problem naturally arising in the synthesis of multi-band (analogue, digital or microwave) electrical filters. The approach is based on techniques from algebraic geometry and generalizes the effective representation of Zolotar\"ev fraction.
Cite
@article{arxiv.1806.05020,
title = {Recent Progress in Optimization of Multiband Electrical Filters},
author = {Andrei Bogatyrëv},
journal= {arXiv preprint arXiv:1806.05020},
year = {2018}
}
Comments
6 figures, 11 pages