Design of Analog Circuits through Symbolic Analysis

Symbolic Analysis of Analog Circuits by Flow-Graphs

Author(s): Mourad Fakhfakh, Irina Asenova and Mourad Loulou

Pp: 115-146 (32)

DOI: 10.2174/978160805095611201010115

* (Excluding Mailing and Handling)


This chapter details the use of Coates flow-graphs for the analysis of analog circuits. Basic concepts of the association of graphs to algebraic equations are presented. Solving the flow-graph by topological methods is detailed. Application to the computation of symbolic transfer functions of analog circuits is highlighted. In addition, application to the generation of flow-graph stamps for some circuits, such as, controlled sources, MOS transistors, current conveyors, is also presented, and some application examples for computing transfer function of current conveyor based filters are proposed. Further, first-order symbolic sensitivity analysis of nullor based networks is described. Generation of partial symbolic transfer functions, using modified Coates flow-graphs, is detailed. Examples illustrating the proposed method are presented.

Keywords: Coates flow-graphs, modified coates flow-graphs, symbolic analysis, nullors, flow-graph stamps, symbolic sensitivity analysis, controlled sources, MOS transistors, current conveyors, DVCCII, FDCCII.

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