Intro; Foreword; Preface; Acknowledgements; Contents; Contributors; Part I. Pathological Elements in the Analysis and the Synthesis of Analog Circuits. 1. Symbolic Analysis and Synthesis of Analog Circuits Using Nullors and Pathological Mirror Elements; Abstract; 1.1. Introduction; 1.2. Symbolic Nodal Analysis of Circuits Modeled by Nullors and Mirrors; 1.3. Adjoint Transformations of Circuits Containing Nullors and Mirrors; 1.4. Synthesis of Nullators, Norators, Voltage Mirrors and Current Mirrors; 1.5. CMOS Implementation of Unity-Gain-Cells and Mixed-Mode Analog Circuits; 1.6. Conclusions; Acknowledgements.
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2. Generalized Parameter Extraction Method for Symbolic Analysis of Analog Circuits Containing Pathological Elements; 2.1. Introduction; 2.2. The Basics of GPEM; 2.2.1. Feussner's Formulae for Determinant Expansion of the Passive Circuit; 2.2.2. Extraction of Controlled Sources Parameters; 2.2.3. Degeneracy and Simplification of Circuits Containing Pathological Elements; 2.3. Symbolic Circuit Analysis by GPEM; 2.3.1. Symbolic Analysis of SISO Circuits; 2.3.2. Symbolic Circuit Analysis of MISO Circuits; 2.4. The Technique of Determinant Expansion of Pathological Element-Based Residual Circuits.
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2.4.1. Expansion of Determinants of Pathological Element-Based Residual Circuits; 2.4.2. The Algorithm of Determinant Expansion Directly from HOSC of Residual Circuits; 2.5. Circuit Decomposition in GPEM; 2.5.1. The Downward Analysis; 2.5.2. The Upward Hierarchical Analysis; 2.6. Conclusion; Acknowledgements; References -- 3. Two-Graph Based Semi-topological Analysis of Electronic Circuits with Nullors and Pathological Mirrors; Abstract; 3.1. Introduction; 3.2. Primitive Signal-Flow Graphs as a Base of Semi-topological Analysis of Electronic Circuits with Nullors and Mirrors; 3.3. Two-Graph Models of Nullors and Mirrors.
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3.3.1. Two-Graph Stamps of Nullators and Mirrors; 3.3.2. Examples; 3.3.2.1. The ICCII+-Base Inverting Low-Pass Filter; 3.3.2.2. The Filter with Second Generation Current Conveyor; 3.4. Conclusions; References -- 4. Circuit Analyses with Nullors; Abstract; 4.1. Introduction; 4.2. Nullor Equivalences; 4.3. Loop Current Method for Circuits with Nullors; 4.4. Nodal Analysis Method for Circuits with Nullors; 4.5. The Generalized Topological Formula for Transfer Function Generation by Two-Graph Tree Enumeration; 4.5.1. Introduction; 4.5.2. Controlled Source Modelling in the Two Graphs.
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4.5.3. Generalized Topological Formula for Network Function Generation; 4.5.4. Algorithm for Tree Enumeration in a Graph Represented on Levels; 4.5.5. Algorithm for Sequential Generation of the Sign Factor; 4.5.6. Automatic Generation of the Transfer Functions; 4.5.7. Description of the Software Application SATE-Symbolic Analisys by Trees Enumeration; 4.6. Examples; 4.7. Conclusions; References -- 5. Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph; Abstract; 5.1. Introduction; 5.2. Nullor-Modified Coates Flow Graph Symbolic Sensitivity Analysis Method.
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5.2.1. Composing of an Equivalent Nullor Model; 5.2.1.1. A Nullator or More Nullators Are Connected with the Source Node; 5.2.1.2. A Norator Is Connected Between Two Nullators in the Equivalent Nullor Model; 5.2.1.3. A Norator or More Norators Are Connected with the Source Node; 5.2.1.4. A Norator and a Nullator Are Connected with the Source Node; 5.2.1.5. Norators Have a Common Node in the Equivalent Nullor Model; 5.2.2. Determination of the Partial Transfer Functions and the First-, Second-Order and Multiparameter Symbolic Sensitivity by Nullor Model; 5.2.3. Examples; 5.3. SANMCFG Method Versus TI; 5.3.1. Comparison of Arithmetical Operations; 5.3.2. Comparison of Circuit Insights; 5.4. Conclusion; References.
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6. Synthesis of Electronic Circuits Structures on the Basis of Active Switches -- Part II. Pathological Elements in the Design of Analog Circuits. 7. Applications of the Voltage Mirror-Current Mirror in Realizing Active Building Blocks -- 8. Circuit Biasing Using Fixator-Norator Pairs--a Tutorial -- 9. Fixator-Norator Pair Based Design of Analog Circuits -- 10. Application of Fixator-Norator Pairs in Analog Circuit Design -- 11. Nullor-Based Negative-Feedback Memristive Amplifiers: Symbolic-Oriented Modelling and Design.
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SUMMARY OR ABSTRACT
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This book is a compilation and a collection of tutorials and recent advances in the use of nullors (combinations of nullators and norators) and pathological mirrors in analog circuit and system design. It highlights the basic theory, trends and challenges in the field, making it an excellent reference resource for researchers and designers working in the synthesis, analysis, and design of analog integrated circuits. With its tutorial character, it can also be used for teaching. Singular elements such as nullors and pathological mirrors can arguably be considered as universal blocks since they can represent all existing analog building blocks, and they allow complex integrated circuits to be designed simply and effectively. These pathological elements are now used in a wide range of applications in modern circuit/system theory, and also in design practice.