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In electronic circuit and system design, the word noise is used to refer to any undesired excitation on the system. In other contexts, noise is also used to refer to signals or excitations which exhibit chaotic or random behavior. The source of noise can be either internal or external to the system. For instance, the thermal and shot noise generated within integrated circuit devices are in ternal noise sources, and the noise picked up from the environment through electromagnetic interference is an external one. Electromagnetic interference can also occur between different components of the same system. In integrated circuits (Ies), signals in one part of the system can propagate to the other parts of the same system through electromagnetic coupling, power supply lines and the Ie substrate. For instance, in a mixed-signal Ie, the switching activity in the digital parts of the circuit can adversely affect the performance of the analog section of the circuit by traveling through the power supply lines and the substrate. Prediction of the effect of these noise sources on the performance of an electronic system is called noise analysis or noise simulation. A methodology for the noise analysis or simulation of an electronic system usually has the following four components: 2 NOISE IN NONLINEAR ELECTRONIC CIRCUITS • Mathematical representations or models for the noise sources. • Mathematical model or representation for the system that is under the in fluence of the noise sources.
Numerical simulation and modelling have been growing in importance and seeing steadily increasing practical application. The proliferation of applications and physical domains for which simulation technologies are now needed, compounded by generally increased complexity, has expanded the scope of numerical simulation and modelling within CAD and spurred new research directions. Numerical Simulation and Modelling of Electronic and Biochemical Systems provides an introduction to the fundamentals of numerical simulation, and to the basics of modelling electronic circuits and biochemical reactions. The emphasis is on capturing a minimal set of important concepts succinctly, but concretely enough that the reader will be left with an adequate foundation for further independent exploration. Starting from mathematical models of basic electronic elements, circuits are modelled as nonlinear differential-algebraic equation (DAE) systems. Two basic techniques - quiescent steady state and transient - for solving these differential equations systems are then developed. It is then shown how biochemical reactions can also be modelled deterministically as DAEs. Following this, frequency domain techniques for finding sinusoidal steady states of linear DAEs are developed, as are direct and adjoint techniques for computing parameter sensitivities and the effects of stationary random noise. For readers interested in a glimpse of topics beyond these basics, an introduction to nonlinear periodic steady state methods (harmonic balance and shooting) and the multitime partial differential equation formulation is provided. Also provided is an overview of model order reduction, an important topic of current research that has roots in numerical simulation algorithms. Finally, sample applications of nonlinear oscillator macromodels - in circuits (PLLs), biochemical reaction-diffusion systems and nanoelectronics - are presented.
In Douglas Adams' book 'Hitchhiker's Guide to the Galaxy', hyper-intelligent beings reached a point in their existence where they wanted to understand the purpose of their own existence and the universe. They built a supercomputer, called Deep Thought, and upon completion, they asked it for the answer to the ultimate question of life, the universe and everything else. The computer worked for several millennia on the answers to all these questions. When the day arrived for hyper-intelligent beings the to receive the answer, they were stunned, shocked and disappointed to hear that the answer was simply 42. The still open questions to scientists and engineers are typically much sim pler and consequently the answers are more reasonable. Furthermore, because human beings are too impatient and not ready to wait for such a long pe riod, high-performance computing techniques have been developed, leading to much faster answers. Based on these developments in the last two decades, scientific and engineering computing has evolved to a key technology which plays an important role in determining, or at least shaping, future research and development activities in many branches of industry. Development work has been going on all over the world resulting in numerical methods that are now available for simulations that were not foreseeable some years ago. However, these days the availability of supercomputers with Teraflop perfor mance supports extensive computations with technical relevance. A new age of engineering has started.
The third Conference on Mathematical Models and Numerical Simulation in Electronic Industry brought together researchers in mathematics, electrical engineering and scientists working in industry. The contributions to this volume try to bridge the gap between basic and applied mathematics, research in electrical engineering and the needs of industry.
This textbook teaches in one, coherent presentation the three distinct topics of analysis of electronic circuits, mathematical numerical algorithms and coding in a software such as MATLAB®. By combining the capabilities of circuit simulators and mathematical software, the author teaches key concepts of circuit analysis and algorithms, using a modern approach. The DC, Transient, AC, Noise and behavioral analyses are implemented in MATLAB to study the complete characteristics of a variety of electronic circuits, such as amplifiers, rectifiers, hysteresis circuits, harmonic traps and passes, polyphaser filters, directional couplers, electro-static discharge and piezoelectric crystals. This book teaches basic and advanced circuit analysis, by incorporating algorithms and simulations that teach readers how to develop their own simulators and fully characterize and design electronic circuits. Teaches students and practitioners DC, AC, Transient, Noise and Behavioral analyses using MATLAB; Shows readers how to create their own complete simulator in MATLAB by adding materials learned in all 6 chapters of the book; Balances theory, math and analysis; Introduces many examples such as noise minimization, parameter optimization, power splitters, harmonic traps and passes, directional couplers, polyphase filters and electro-static discharge that are hardly referenced in other textbooks; Teaches how to create the fundamental analysis functions such as linear and nonlinear equation solvers, determinant calculation, random number generation and Fast Fourier transformation rather than using the built-in native MATLAB codes.
In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.
Provides an overview of the physical basis of noise in semiconductor devices, and a detailed treatment of numerical noise simulation in small-signal conditions. It presents innovative developments in the noise simulation of semiconductor devices operating in large-signal quasi-periodic conditions.
This book presents the proceedings of the 4th International Workshop "Scientific Computing in Electrical Engineering", held in Eindhoven, The Netherlands, from June 23-28, 2002. This workshop followed three earlier workshops held in 1997 at the Darmstadt University of Technology, in 1998 at the Weierstrass Institute for Applied Analysis and Stochastics, and in 2000 at the University of Rostock. The main topics of SCEE-2002 were computational electrodynamics, circuit simulation and coupled problems. The objective of the workshop, which was mainly directed at mathematicians and electrical engineers, was to bring together scientists from universities and industry with the goal of intensive discussions about modelling and numerical simulation of electronic circuits and electromagnetic fields. A special feature was the "Industry Day", where distinguished speakers discussed the needs of industry in the field of computational electromagnetics and circuit simulation. The book contains papers of invited and contributed talks, as well as from poster presentations.
A practical, tutorial guide to the nonlinear methods and techniques needed to design real-world microwave circuits.
This book is a collection of papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sicily, in 2004. The series of SCEE conferences aims at addressing mathematical problems which have a relevancy to industry. The areas covered at SCEE-2004 were: Electromagnetism, Circuit Simulation, Coupled Problems and General mathematical and computational methods.