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Plenary Lecture

Determination of the First-Order Sensitivity Index of State-Space Synthesized Translinear Filters

Professor Georgi A. Nenov
Higher School of Transport “Todor Kableshkov”
Sofia, BULGARIA
E-mail: gnenov1@gmail.com

Abstract: Analysis and synthesis of translinear circuits is an actual and promising topic in the circuit theory. This can be explained by the various applications of practical importance where the translinear circuits allow to obtain low-power, low-voltage supplied and small size devices for analog signal processing. The action of the translinear devices is based on the static or dynamic translinear principle and usually uses the exponential relationship between collector current and base-emiter voltage of the bipolar transistor. A wide field where the translinear circuits find an application is the synthesis of so named log-domain filters. Despite they are internally nonlinear devices log-domain filters have a behavior of externally linear circuits with a good frequency selectivity. A variety of methods for synthesis of such kind of filters are proposed during last two decades. Some of them use suitable transformations of the signal-flow graph representations of the passive or active RC-filters, whereas others search a decision by using a modeling the set the corresponding state-space equations with translinear integrators. One exist methods with a direct replacement of elements in active RC-realizations by translinear blocks also. An interesting and original approach to the synthesis of a wide class log-domain filters was proposed by Frey where it is shown the transformation of the passive prototype state-space equation into a corresponding translinear circuit nodal equation set. An important parameter connected with the practical value of the synthesized structures is their sensitivity. Whereas the sensitivity for passive, active RC-, switched-capacitor filters is an object of a great number of investigations, this matter does not studied enough in translinear filter area. For the most of tranlinear realizations the use of DC current sources is a typical peculiarity and the change of the supplied by them currents influences the circuit characteristics. In the proposed paper a matrix approach to the determination of sensitivity index of the translinear circuits, obtained according the method in [1] is described. On the base of a passive prototype state-space equations and their transformed form some expressions for the square sum of the transfer function sensitivities with respect to the current source values is obtained. The results for the directed realization and for the realization after the equivalently transforming state-space equations are compared on the base of an example.

Brief biography of the speaker: Georgi A. Nenov graduated from Technical University, Sofia, Bulgaria in 1962. He worked as an Assistant Professor in Technical University, Varna, Bulgaria (1963-1966), as a Scientific Researcher in Institute of Instrument Design in Sofia (1966-1974) and in Institute of Technical Cybernetics, Bulgarian Academy of Sciences in Sofia (1974-1980), as an Associate Professor in University “Prof. Dr Assen Zlatarov”, Bourgas, Bulgaria (1980-1988) and as an Associate Professor (1988-1995) and Professor (1995) in Higher School of Transport “Todor Kableshkov, Sofia. Prof Nenov defend in 1973 a PhD dissertation on active circuit synthesis and in 1991 a Dr.Sc dissertation on analysis and synthesis of SC-networks. He is a Senior Member of IEEE and a member of Bulgarian Scientific Found. The research interests of Prof. Nenov are in the field of electrical network analysis and synthesis, network sensitivity and neural networks. He is an author and co-author of about 120 journal and conference papers, 3 books and 1 invited book chapter.

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