Author: Thorsten Sickenberger
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832519548
Category :
Languages : en
Pages : 162
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Book Description
The current technological progress in microelectronics is driven by the desire to decrease feature sizes, increase frequencies and the need for low supply voltages. Amongst other effects the signal-to-noise ratio decreases and the transient noise analysis becomes necessary in the simulation of electronic circuits. Taking the inner electronic noise into account by means of Gaussian white noise currents, mathematical modelling leads to stochastic differential algebraic equations (SDAEs) with a large number of small noise sources. The simulation of such systems requires an efficient numerical time integration by mean-square convergent numerical methods. In this thesis, adaptive linear multi-step Maruyama schemes to solve stochastic differential equations (SDEs) and SDAEs are developed. A reliable local error estimate for systems with small noise is provided and a strategy for controlling the step-size and the number of solution paths simultaneously in one approximation is presented. Numerical experiments on industrial relevant real-life applications illustrate the theoretical findings.
Author: Willi Jäger
Publisher: Springer Science & Business Media
ISBN: 3540772030
Category : Computers
Languages : en
Pages : 353
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Book Description
This book is about the results of a number of projects funded by the BMBF in the initiative "Mathematics for Innovations in Industry and Services". It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users. Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.
Author: Angelo Marcello Anile
Publisher: Springer Science & Business Media
ISBN: 3540328629
Category : Technology & Engineering
Languages : en
Pages : 460
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Book Description
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.
Author: Michael Breitner
Publisher: Springer Science & Business Media
ISBN: 3540742387
Category : Mathematics
Languages : en
Pages : 342
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Book Description
This book shows how modern Applied Mathematics influences everyday life. It features contributors from universities, research institutions and industry, who combine research and review papers to present a survey of current research. More than 20 contributions are divided into scales: nano, micro, macro, space and real life. In addition, coverage includes engaging and informative case studies as well as complex graphics and illustrations, many of them in color.
Author: Amit Mehrotra
Publisher: Springer Science & Business Media
ISBN: 9781402076572
Category : Computers
Languages : en
Pages : 204
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Book Description
Predicting noise in RF systems at the design stage is extremely important. This book concentrates on developing noise simulation techniques for RF circuits. The authors present a novel approach of performing noise analysis for RF circuits.
Author: Alex Goulet
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
"Noise analysis is a necessary but often lengthy part of the design process for microelectronics. Frequency domain noise analysis methods are ill-suited for simulating noise in nonlinear circuits with arbitrary large-signal waveforms, while time domain noise analysis methods typically suffer from long simulation times. A novel parallel non-Monte Carlo transient noise analysis method for general nonlinear analysis is presented. Non-Monte Carlo based transient noise methods avoid expensive and lengthy Monte Carlo iterations by describing the nonlinear system with a linear time-varying system that can be used to calculate the variance of the waveform at every time point. However, the main bottleneck in these methods is that the linear time-varying system is computationally expensive to solve when the circuit is large. To address this issue, the proposed method decouples the linear time-varying system into homogeneous and inhomogeneous systems that can be solved independently. The inhomogeneous system is solved in parallel by partitioning the time interval into independent subintervals, while the complexity of the homogeneous system can be decreased significantly due to the linearity of the equations"--
Author: Alper Demir
Publisher: Springer Science & Business Media
ISBN: 1461560632
Category : Technology & Engineering
Languages : en
Pages : 278
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Book Description
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.
Author: Andreas Süss
Publisher: CRC Press
ISBN: 131564388X
Category : Computers
Languages : en
Pages : 262
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Book Description
This work is dedicated to CMOS based imaging with the emphasis on the noise modeling, characterization and optimization in order to contribute to the design of high performance imagers in general and range imagers in particular. CMOS is known to be superior to CCD due to its flexibility in terms of integration capabilities, but typically has to be
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 486
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Book Description
Author: Michael Breuer
Publisher: Springer Science & Business Media
ISBN: 3642559190
Category : Computers
Languages : en
Pages : 420
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Book Description
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.
