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This comprehensive new book helps fortify your understanding of the most popular time- and frequency-domain techniques used to analyze nonlinear microwave circuits - and shows you how to get better performance from these techniques using circuit-analysis software. This is the only book to detail the use of semi-analytic and numerical physical models in nonlinear circuit analysis, and to discuss the two uses of physical models in nonlinear CAD. Armed with the information presented, you can attain a more reliable yield analysis of nonlinear MMICs and also: Utilize robust algorithms that help you analyze highly nonlinear circuits while maintaining good convergence properties; Make better use of commercial nonlinear circuit simulators and develop your own custom-made simulators from scratch; Employ step-by-step methods to integrate circuit equations and improve the convergence of harmonic-balance. Supported by 330 equations, practical examples, and ready-made samples of computer code written in C, this book is an invaluable reference for microwave engineers, researchers, developers, and graduate students.
Table Of Contents
1.Introduction: Frequency Generation in Nonlinear Circuits. Nonlinear Microwave Circuits. Relationships Between Fourier Coefficients and Power. Numerical Analysis of Nonlinear Circuits - A Simple Example. 2. Equivalent-Circuit Models: Nonlinear Circuit Elements. Microwave Diodes. Microwave MESFETs. Parameter Determination. Limitations of Equivalent-Circuit Models. 3. Physical Models: MMIC Technology and Physical Models. Physical Modeling of GaAs MESFETs. Microwave Nonlinear Circuit Analysis Based on Physical Models. Device Equations. An Analytic GaAs MESFET Physical Model. A Numerical MESFET Physical Model. Equivalent-Circuit Model Generation. Final Remarks. 4. Formulation of the Circuit Equations: Resistive Circuits. Graphs and Kirchhoff's Laws in Matrix Form. Tableau Analysis. Nodal Analysis. Modified Nodal Analysis (MNA). General Formulation of the Circuit Equations. 5. Algorithms for Solving Systems of Nonlinear Algebraic Equations: Introductory Concepts. Newton's Method. Quasi-Newton or Modification Methods. Continuation Methods. Solution of Systems of Linear Algebraic Equations. Newton's Method Discrete Equivalent Circuit. 6. Time-Domain Methods - Integration of the Circuit Equations: Transmission Line Models in the Time Domain. Circuit Equations in the Time Domain. Numerical Integration of Ordinary Differential Equations. Models for Nonlinear Capacitors and Inductors. Resistive Associated Discrete Circuit Models. Step-Size Control. The Shooting Method. Final Remarks. 7. Frequency-Domain Methods - the Harmonic Balance: Equations for Linear Circuits in the Frequency Domain. Spectrum Truncation. Generalized Discrete Fourier Transform. Fourier Transform Implementation.Introduction to Harmonic Balance in Circuit Analysis. General Formulation of Harmonic Balance for Circuit Analysis. Jacobian Computation. Autonomous Circuit Analysis. Other Frequency-Domain Methods. Final Remarks. 8. Some Aspects of Software Implementation: Circuit Description. Implementation of Nonlinear Functions in Semiconductor Equivalent-Circuit Models. Implementation of Physical Models in Circuit Simulators. Newton's Method Damping Factor. An Algorithm Based on a Quasi-Newton Method. 9. Some Examples of Nonlinear Circuit Analysis: Van der Pol Oscillator. Schottky Diode Equivalent-Circuit Model. MESFET Physical Model. Appendices
Paulo Jose Cunha Rodrigues