Analysis and Synthesis of Translinear Integrated Circuits

The objectives of this book are twofold. The first is to investigate the electrical and topological nature of translinear (TL) networks. A general method of analysis based on graph-theoretical and matrix concepts is developed. This leads to a study of the topological properties and classification of TL networks. Of particular interest is the relationship between network topology and the complexity of the associated algebraic network equations. The second objective is the development of a systematic procedure for the synthesis of TL circuits to implement prescribed linear and nonlinear signal processing functions. The synthesis method consists of three parts, viz. function approximation, function decomposition and network realisation techniques based on the results of the topological analysis. In addition, the errors introduced into practical TL circuits by the nonidealities of real transistors are investigated and optimisation techniques developed. The book is concluded by a fully worked design example to illustrate the proposed synthesis approach. The appendices provide various design aids as well as several useful TL basic circuits.
 
The objectives of this book are twofold. The first is to investigate the electrical and topological nature of translinear (TL) networks. A general method of analysis based on graph-theoretical and matrix concepts is developed. This leads to a study of the topological properties and classification of TL networks. Of particular interest is the relationship between network topology and the complexity of the associated algebraic network equations. The second objective is the development of a systematic procedure for the synthesis of TL circuits to implement prescribed linear and nonlinear signal processing functions. The synthesis method consists of three parts, viz. function approximation, function decomposition and network realisation techniques based on the results of the topological analysis. In addition, the errors introduced into practical TL circuits by the nonidealities of real transistors are investigated and optimisation techniques developed. The book is concluded by a fully worked design example to illustrate the proposed synthesis approach. The appendices provide various design aids as well as several useful TL basic circuits.