An Algorithm for Finding Approximate Symbolic Pole/Zero Expressions

Alexandru Gabriel Gheorghe () and Florin Constantinescu
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Alexandru Gabriel Gheorghe: Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania
Florin Constantinescu: Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania

Mathematics, 2025, vol. 13, issue 20, 1-18

Abstract: The approximate pole/zero expressions are computed starting from the state or the “state-like” matrix. The attempts of open-circuit and short-circuit replacement of circuit elements are combined with those to cut row and column groups of the state matrix for poles or the “state-like” matrix for zeros, and with LR iterations. The expressions of all poles and zeros of a wide-band amplifier and an RLC band-stop filter are computed, obtaining significantly better results than those given by the best approach available, implemented in the Analog Insydes package.

Keywords: pole/zero computation; approximate symbolic expressions; state matrix; LR iterations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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