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Active network analysis. Feedback amplifier theory (Q2826590)

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scientific article; zbMATH DE number 6640012
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English
Active network analysis. Feedback amplifier theory
scientific article; zbMATH DE number 6640012

    Statements

    17 October 2016
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    electric and electronic circuits
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    active networks
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    feedback amplifiers
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    network analysis
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    Active network analysis. Feedback amplifier theory (English)
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    The book under review has been written aiming at offering the interested reader a systematic and detailed treatment of active networks with special focus on feedback amplifier design. It has been intended to cover fundamental principles of circuit and feedback theory valid independently on new devices or technologies.NEWLINENEWLINENEWLINEThe book is structured on 11 Chapters each ending with a summary, problems and bibliography followed by three Appendices and symbol and subject indices.NEWLINENEWLINENEWLINEThe first three chapters deal with the general theory of network analysis. Thus, the first Chapter entitled Characterization of Networks tackle aspects like linearity/nonlinearity, time invariance, passivity/activity, matrix characterization of \(n\)-ports etc. The next chapter presents the concept of indefinite-admittance matrix. Methods for writing the indefinite-admittance matrix, terminal contraction and suppression, interrelationships of transistor models, first- and second-order cofactors, network functions, constrained active networks and Norton's generalized theorem are presented. The third chapter is entitled ``Active Two-Port Networks'' contains presentation of two-port parameters, power gains, sensitivity, U-functions, potential instability/absolute stability and optimum terminations for absolute stability of two-ports.NEWLINENEWLINENEWLINEThe next four chapters deal with the theory of feedback amplifiers. Thus, Chapter 4, Theory of Feedback amplifiers I, deals with the ideal feedback model, feedback amplifier configurations, general feedback theory and network functions and feedback while Chapter 4, Theory of Feedback amplifiers II, presents sensitivity functions and feedback, the return difference and two-port functions, return difference and null return difference with respect to two elements, extension of the feedback concept, general return and null return differences, relative sensitivity and feedback, signal flow formulation of feedback theory, measurement of the return difference and considerations on its invariance. Chapter 6 approaches the stability problem of feedback amplifiers. Single loop feedback amplifiers, various stability criteria (Routh, Hurwitz, Lienard-Chipart), Nyquist criterion with applications to single loop feedback amplifiers, root-locus method, root sensitivity and Bode formulas and design theory are discussed. Next chapter, number 7, entitled Multiple-Loop Feedback Amplifiers deals presents the concept of matrix signal-flow graphs, the multiple-loop feedback amplifier theory, extensions to feedback matrices, hybrid-matrix formulation of multi-loop feedback theory, computation of feedback matrices and the sensitivity matrix for multiparameter sensitivity.NEWLINENEWLINENEWLINEChapter 8 deals with the state-space analysis and feedback theory. State equations and normal form, graph matrices for Kirchhoff's law, trees and fundamental cut-sets and circuits, a systematic procedure for writing the state equations, state equations for degenerate circuits, for single loop and multiple loop feedback are presented.NEWLINENEWLINE NEWLINEChapter 9 is about topological analysis of active networks. Concepts like natural frequencies, digraphs associated to active circuits, order of complexity and unique solvability as well as topological analysis of active networks are discussed.NEWLINENEWLINENEWLINEChapter 10 is entitled ``Generalized Network Matrices and Their Cofactors''. The chapter begins with the presentation of network determinants, generalized cofactors and network matrix determinants, continues with discussing the general null difference, relations between loop and cut-set formulations, the primary system of equations and ends with derivation of topological formulas and evaluation of feedback matrices in multiple loop feedback amplifiers.NEWLINENEWLINE NEWLINEThe last chapter, The indefinite-Impedance Matrix Formulation and Feedback Amplifier Theory, introduces the indefinite impedance matrix with extension to nonplanar graphs, presents an extension of a dual theorem on summation of return difference and ends with a discussion of dual topological theorems of linear active networks and the loop-impedance matrix formulation.NEWLINENEWLINEThe book is written in a rigorous, systematic and clear manner with a remarkable concern for illustration of concepts through examples. It contains not only basic principles but also research results of the author and his coworkers. It can be useful to readers interested in profoundly understanding the basic principles of circuit theory and feedback amplifiers.
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