110_1_ActiveGyrator_Orchard&Willson - Clearly if...

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Clearly, if the perturbing link had not been added immediately after the initial link, or indeed if the initial link had been originally added as a new tree branch, the results would be the same. As a consequence, a perturbing scalar multiple of a link can be added using the standard formula of eqn. 1 and the extra common factor is then removed by division. It has been shown that the common factors that arise out of adding perturbing links can be identified, and therefore removed. The removal of the common factor is trivial if the perturbing elements are resistive, inductive, or capacitive 2-terminal or 4-terminal elements. Hence the perturbation technique using Kron's link-at-a-time approach will be highly effective, and it is feasible to attempt s plane optimisation by this technique. R. K. JARROTT 17th May 1974 60 Buckley Crescent Fairview Park South Australia 5126 References 1 DOWNS, T.: 'Symbolic evaluation of transmittances from the noda admittance matrix', Electron. Lett., 1969, 5, pp. 379-380 2 BARHAM, R. A.: 'A network analysis method with reduced storage requirements'. Proceedings of 13th national IREE electronics con- vention, Melbourne, Australia, 1971, pp. 22-23 3 BRANIN, F. H., JUN.: 'The relation between Kron's method and the classical methods of network analysis'. IRE Wescon Convention Record, 1959, Pt. 2, pp. 3-28 NEW ACTIVE-GYRATOR CIRCUIT Indexing terms: Active networks, Gyrators Ideal passive gyrators can be made using two operational amplifiers, and it has been proved that they cannot be made with only one amplifier. However, this latter proof led to the discovery that an ideal active gyrator can be made with only one amplifier. A circuit for doing this is presented here, and its behaviour when used in an inductance-simulating mode is analysed. The gyrator is now well established as an element in the design of inductorless networks, being used, together with a capacitor, primarily in an inductance-simulating mode, either directly 1 * 2 or indirectly. 3 The practical nonreciprocal components that are presently available for making a gyrator are either transis- tors or, more conveniently, complete transistor amplifiers of which, for this purpose, the operational amplifier is the most commonly used form. Over the past few years, several ideal* gyrator circuits have been described in the literature, all being variants of the original Riordan circuit 4 and using two such amplifiers in conjunction with a few resistors. In contrast to this, no one has described an ideal gyrator circuit using only one amplifier, although a few nonideal 1-amplifier circuits have been published. 5
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This note was uploaded on 07/06/2011 for the course EE 110 taught by Professor Gupta during the Winter '08 term at UCLA.

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110_1_ActiveGyrator_Orchard&Willson - Clearly if...

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