Design of Analog Circuits through Symbolic Analysis

Analysis and Synthesis of Electronic Circuits by the Two-Graph Method

Author(s): Marian Pierzchała and Benedykt Rodanski

Pp: 147-172 (26)

DOI: 10.2174/978160805095611201010147

* (Excluding Mailing and Handling)

Abstract

The general two-graph framework of a fully symbolic and semi-symbolic analysis environment for linear, time-invariant circuits is presented. A classical twograph approach for RLC-gm circuits as well as its extension for circuits containing nonadmittance elements is discussed. A brief introduction to approximate symbolic analysis, using the two-graph method, is included. In this chapter we also present a method of synthesis of active RC circuits on the basis of the two-graph method. The nullor approach is used to synthesize the RC network which has the voltage and the current graphs equivalent to the two-graph of the prototype LC network.


Keywords: Symbolic analysis, two-graph method, symbolic network functions, synthesis of RC active circuits, circuits with nullors, current conveyors, floating nullors, RC active filters with losses, loop matrix, cutest matrix, product matrix

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