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Analog filter pair design on the basis of a gyrator–capacitor prototype circuit
Author(s) -
Handkiewicz Andrzej,
Katarzyński Piotr,
Szczȩsny Szymon,
Wencel Jarosław,
Śniatała Paweł
Publication year - 2012
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.741
Subject(s) - gyrator , filter (signal processing) , computer science , filter design , capacitor , electronic engineering , active filter , redundancy (engineering) , equivalent circuit , sensitivity (control systems) , nonlinear system , network synthesis filters , control theory (sociology) , algorithm , engineering , electrical engineering , voltage , physics , control (management) , quantum mechanics , artificial intelligence , computer vision , operating system
SUMMARY The paper presents an algorithmic approach to a low‐sensitivity design strategy for analog filter pairs based on a gyrator–capacitor prototype circuit. The general structure of the prototype circuit is proposed. It assumed that the generic structure of the prototype circuit can evolve, with the use of additional gyrators, into a circuit with increased redundancy. It is shown that symbolic analysis of the prototype circuit, used to formulate a set of nonlinear algebraic equations, is necessary to achieve a sufficiently high algorithm operation speed. To find a solution to this specific system of nonlinear algebraic equations, different numerical methods are compared. The modified Hooke and Jeeves algorithm is found to be the most effective. The elaborated algorithms and programs are illustrated with the seventh‐order filter pair example. The obtained filter is better than the filter obtained using LC ladder structures with respect to chip area and power consumption, and these improvements are obtained without loss of sensitivity properties. Copyright © 2010 John Wiley & Sons, Ltd.