Passive Macromodeling Of Interconnect Structures Using Loewner Matrix Interpolation

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Passive Macromodeling of Interconnect Structures Using LOEWNER Matrix Interpolation

Author : Muhammad Kabir
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Passive Macromodeling of Interconnect Structures Using LOEWNER Matrix Interpolation by : Muhammad Kabir

Download or read book Passive Macromodeling of Interconnect Structures Using LOEWNER Matrix Interpolation written by Muhammad Kabir and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Signal and power integrity have become a dominant performance limiting factor in the designof integrated circuits. This has led to the need for accurate time-domain models for signalinterconnects, power delivery networks, and other passive structures used for signal and powerdelivery. Such models are difficult to obtain using analytical physics based approaches. However,it is possible to characterize such structures by using measurement or full-wave simulationin order to obtain their sampled frequency-domain S - or Y-parameters. The objective of thisthesis is to develop a systematic and automated algorithm for obtaining a time-domain SPICEcompatiblemacromodel from measured or computed frequency-domain S - or Y-parameterdata. In particular, a set of tools based on Loewner Matrix (LM) interpolation are developedfor generating a macromodel, reducing its order and guaranteeing its accuracy and passivity.This is done for both S - and Y-parameter data. In addition, a modeling tool is developed togenerate a parametric macromodel based on LM interpolation. Furthermore, the proposed approachhas the advantage of improving the CPU cost of standard full-wave analysis methodsby taking advantage of the developed interpolation methods." --

Passivity Enforcement on Loewner Matrix Based Descriptor System

Author : Yi Qing Xiao
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Passivity Enforcement on Loewner Matrix Based Descriptor System by : Yi Qing Xiao

Download or read book Passivity Enforcement on Loewner Matrix Based Descriptor System written by Yi Qing Xiao and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Macromodeling of passive structures such as interconnect networks is a keybottleneck for signal and power integrity analysis. For many structures, a physics-basedmodel is difficult to obtain and numerical techniques such as Vector Fittingand Loewner Matrix interpolation are necessary to obtain a macromodel. However,these methods cannot guarantee a passive macromodel by construction. As a result, perturbation methods for passivity enforcement are necessary as a final macromodelingstep. In this thesis, we study passivity enforcement methods based on theperturbation of the Hamiltonian matrix and propose efficient techniques that aresuitable for Loewner Matrix-based macromodels." --

Passive Macromodeling

Author : Stefano Grivet-Talocia
Publisher : John Wiley & Sons
ISBN 13 : 1118094913
Total Pages : 912 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Passive Macromodeling by : Stefano Grivet-Talocia

Download or read book Passive Macromodeling written by Stefano Grivet-Talocia and published by John Wiley & Sons. This book was released on 2015-12-07 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an overview of state of the art passive macromodeling techniques with an emphasis on black-box approaches This book offers coverage of developments in linear macromodeling, with a focus on effective, proven methods. After starting with a definition of the fundamental properties that must characterize models of physical systems, the authors discuss several prominent passive macromodeling algorithms for lumped and distributed systems and compare them under accuracy, efficiency, and robustness standpoints. The book includes chapters with standard background material (such as linear time-invariant circuits and systems, basic discretization of field equations, state-space systems), as well as appendices collecting basic facts from linear algebra, optimization templates, and signals and transforms. The text also covers more technical and advanced topics, intended for the specialist, which may be skipped at first reading. Provides coverage of black-box passive macromodeling, an approach developed by the authors Elaborates on main concepts and results in a mathematically precise way using easy-to-understand language Illustrates macromodeling concepts through dedicated examples Includes a comprehensive set of end-of-chapter problems and exercises Passive Macromodeling: Theory and Applications serves as a reference for senior or graduate level courses in electrical engineering programs, and to engineers in the fields of numerical modeling, simulation, design, and optimization of electrical/electronic systems. Stefano Grivet-Talocia, PhD, is an Associate Professor of Circuit Theory at the Politecnico di Torino in Turin, Italy, and President of IdemWorks. Dr. Grivet-Talocia is author of over 150 technical papers published in international journals and conference proceedings. He invented several algorithms in the area of passive macromodeling, making them available through IdemWorks. Bjørn Gustavsen, PhD, is a Chief Research Scientist in Energy Systems at SINTEF Energy Research in Trondheim, Norway. More than ten years ago, Dr. Gustavsen developed the original version of the vector fitting method with Prof. Semlyen at the University of Toronto. The vector fitting method is one of the most widespread approaches for model extraction. Dr. Gustavsen is also an IEEE fellow.

System- and Data-Driven Methods and Algorithms

Author : Peter Benner
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110497719
Total Pages : 346 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis System- and Data-Driven Methods and Algorithms by : Peter Benner

Download or read book System- and Data-Driven Methods and Algorithms written by Peter Benner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Interpolatory Methods for Model Reduction

Author : A. C. Antoulas
Publisher : SIAM
ISBN 13 : 1611976081
Total Pages : 244 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Interpolatory Methods for Model Reduction by : A. C. Antoulas

Download or read book Interpolatory Methods for Model Reduction written by A. C. Antoulas and published by SIAM. This book was released on 2020-01-13 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks. This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.

Model Reduction for Circuit Simulation

Author : Peter Benner
Publisher : Springer Science & Business Media
ISBN 13 : 940070089X
Total Pages : 317 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Model Reduction for Circuit Simulation by : Peter Benner

Download or read book Model Reduction for Circuit Simulation written by Peter Benner and published by Springer Science & Business Media. This book was released on 2011-03-25 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation based on mathematical models plays a major role in computer aided design of integrated circuits (ICs). Decreasing structure sizes, increasing packing densities and driving frequencies require the use of refined mathematical models, and to take into account secondary, parasitic effects. This leads to very high dimensional problems which nowadays require simulation times too large for the short time-to-market demands in industry. Modern Model Order Reduction (MOR) techniques present a way out of this dilemma in providing surrogate models which keep the main characteristics of the device while requiring a significantly lower simulation time than the full model. With Model Reduction for Circuit Simulation we survey the state of the art in the challenging research field of MOR for ICs, and also address its future research directions. Special emphasis is taken on aspects stemming from miniturisations to the nano scale. Contributions cover complexity reduction using e.g., balanced truncation, Krylov-techniques or POD approaches. For semiconductor applications a focus is on generalising current techniques to differential-algebraic equations, on including design parameters, on preserving stability, and on including nonlinearity by means of piecewise linearisations along solution trajectories (TPWL) and interpolation techniques for nonlinear parts. Furthermore the influence of interconnects and power grids on the physical properties of the device is considered, and also top-down system design approaches in which detailed block descriptions are combined with behavioral models. Further topics consider MOR and the combination of approaches from optimisation and statistics, and the inclusion of PDE models with emphasis on MOR for the resulting partial differential algebraic systems. The methods which currently are being developed have also relevance in other application areas such as mechanical multibody systems, and systems arising in chemistry and to biology. The current number of books in the area of MOR for ICs is very limited, so that this volume helps to fill a gap in providing the state of the art material, and to stimulate further research in this area of MOR. Model Reduction for Circuit Simulation also reflects and documents the vivid interaction between three active research projects in this area, namely the EU-Marie Curie Action ToK project O-MOORE-NICE (members in Belgium, The Netherlands and Germany), the EU-Marie Curie Action RTN-project COMSON (members in The Netherlands, Italy, Germany, and Romania), and the German federal project System reduction in nano-electronics (SyreNe).

Reduced Order Methods for Modeling and Computational Reduction

Author : Alfio Quarteroni
Publisher : Springer
ISBN 13 : 3319020900
Total Pages : 338 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Reduced Order Methods for Modeling and Computational Reduction by : Alfio Quarteroni

Download or read book Reduced Order Methods for Modeling and Computational Reduction written by Alfio Quarteroni and published by Springer. This book was released on 2014-06-05 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects. This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems.

Model Order Reduction: Theory, Research Aspects and Applications

Author : Wilhelmus H. Schilders
Publisher : Springer Science & Business Media
ISBN 13 : 3540788417
Total Pages : 471 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Model Order Reduction: Theory, Research Aspects and Applications by : Wilhelmus H. Schilders

Download or read book Model Order Reduction: Theory, Research Aspects and Applications written by Wilhelmus H. Schilders and published by Springer Science & Business Media. This book was released on 2008-08-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea for this book originated during the workshop “Model order reduction, coupled problems and optimization” held at the Lorentz Center in Leiden from S- tember 19–23, 2005. During one of the discussion sessions, it became clear that a book describing the state of the art in model order reduction, starting from the very basics and containing an overview of all relevant techniques, would be of great use for students, young researchers starting in the ?eld, and experienced researchers. The observation that most of the theory on model order reduction is scattered over many good papers, making it dif?cult to ?nd a good starting point, was supported by most of the participants. Moreover, most of the speakers at the workshop were willing to contribute to the book that is now in front of you. The goal of this book, as de?ned during the discussion sessions at the workshop, is three-fold: ?rst, it should describe the basics of model order reduction. Second, both general and more specialized model order reduction techniques for linear and nonlinear systems should be covered, including the use of several related numerical techniques. Third, the use of model order reduction techniques in practical appli- tions and current research aspects should be discussed. We have organized the book according to these goals. In Part I, the rationale behind model order reduction is explained, and an overview of the most common methods is described.

Reduced Basis Methods for Partial Differential Equations

Author : Alfio Quarteroni
Publisher : Springer
ISBN 13 : 3319154311
Total Pages : 305 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Reduced Basis Methods for Partial Differential Equations by : Alfio Quarteroni

Download or read book Reduced Basis Methods for Partial Differential Equations written by Alfio Quarteroni and published by Springer. This book was released on 2015-08-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing. All these pseudocodes are in fact implemented in a MATLAB package that is freely available at https://github.com/redbkit

Approximation of Large-Scale Dynamical Systems

Author : Athanasios C. Antoulas
Publisher : SIAM
ISBN 13 : 0898716586
Total Pages : 489 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Approximation of Large-Scale Dynamical Systems by : Athanasios C. Antoulas

Download or read book Approximation of Large-Scale Dynamical Systems written by Athanasios C. Antoulas and published by SIAM. This book was released on 2009-06-25 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Realizability Theory for Continuous Linear Systems

Author : Armen H. Zemanian
Publisher : Courier Corporation
ISBN 13 : 9780486688237
Total Pages : 258 pages
Book Rating : 4.6/5 (882 download)

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Book Synopsis Realizability Theory for Continuous Linear Systems by : Armen H. Zemanian

Download or read book Realizability Theory for Continuous Linear Systems written by Armen H. Zemanian and published by Courier Corporation. This book was released on 1995-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise exposition of realizability theory as applied to continous linear systems, specifically to the operators generated by physical systems as mappings of stimuli into responses. Many problems included.

IC Interconnect Analysis

Author : Mustafa Celik
Publisher : Springer Science & Business Media
ISBN 13 : 1402070756
Total Pages : 316 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis IC Interconnect Analysis by : Mustafa Celik

Download or read book IC Interconnect Analysis written by Mustafa Celik and published by Springer Science & Business Media. This book was released on 2002-05-31 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes a variety of interconnect analysis techniques with different efficiency-accuracy tradeoffs. The authors survey very simple delay metrics that can be useful during the synthesis stage of IC design, higher order delay and signal integrity metrics suitable for physical design, and more accurate analysis methods appropriate for the final verification stages of chip design. The Elmore delay, asmptotic waveform evaluation, moment generation, passive reduced-order multiport models are covered. The final two chapters describe how to interface macromodels with circuit simulators and RC models with gate-delay models Annotation copyrighted by Book News, Inc., Portland, OR

Lumped and Distributed Passive Networks

Author : M. Ronald Wohlers
Publisher : Academic Press
ISBN 13 : 1483221245
Total Pages : 247 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Lumped and Distributed Passive Networks by : M. Ronald Wohlers

Download or read book Lumped and Distributed Passive Networks written by M. Ronald Wohlers and published by Academic Press. This book was released on 2013-10-22 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lumped and Distributed Passive Networks: A Generalized and Advanced Viewpoint considers the mathematical study of a subset of passive linear operators. This five-chapter focuses on the questions of analysis and representation of such operators and illustrates the results of these analyses by obtaining some of the limitations that are imposed on the performance of passive systems. The first two chapters deal with the structure of general linear passive operators. These chapters specifically look into the theory of distributions, called generalized functions. The third and fourth chapters illustrate the application of passive operator theory to rational (lumped) and irrational (distributed) systems. The fifth chapter discusses some applications of optimization theory to the study of networks.

Linear Parameter-Varying and Time-Delay Systems

Author : Corentin Briat
Publisher : Springer
ISBN 13 : 3662440504
Total Pages : 412 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Linear Parameter-Varying and Time-Delay Systems by : Corentin Briat

Download or read book Linear Parameter-Varying and Time-Delay Systems written by Corentin Briat and published by Springer. This book was released on 2014-09-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

Modeling and Simulation of High Speed VLSI Interconnects

Author : Michel S. Nakhla
Publisher : Springer Science & Business Media
ISBN 13 : 146152718X
Total Pages : 104 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Modeling and Simulation of High Speed VLSI Interconnects by : Michel S. Nakhla

Download or read book Modeling and Simulation of High Speed VLSI Interconnects written by Michel S. Nakhla and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Simulation of High Speed VLSI Interconnects brings together in one place important contributions and state-of-the-art research results in this rapidly advancing area. Modeling and Simulation of High Speed VLSI Interconnects serves as an excellent reference, providing insight into some of the most important issues in the field.

Maxwell’s Equations

Author : Ulrich Langer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110543613
Total Pages : 444 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Maxwell’s Equations by : Ulrich Langer

Download or read book Maxwell’s Equations written by Ulrich Langer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s equations, eddy current approximations, scattering and radiation problems, inverse problems, finite element methods, boundary element methods, and isogeometric analysis.

Active Subspaces

Author : Paul G. Constantine
Publisher : SIAM
ISBN 13 : 1611973864
Total Pages : 105 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Active Subspaces by : Paul G. Constantine

Download or read book Active Subspaces written by Paul G. Constantine and published by SIAM. This book was released on 2015-03-17 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists and engineers use computer simulations to study relationships between a model's input parameters and its outputs. However, thorough parameter studies are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable studies in these instances, the engineer may attempt to reduce the dimension of the model's input parameter space. Active subspaces are an emerging set of dimension reduction tools that identify important directions in the parameter space. This book describes techniques for discovering a model's active subspace and proposes methods for exploiting the reduced dimension to enable otherwise infeasible parameter studies. Readers will find new ideas for dimension reduction, easy-to-implement algorithms, and several examples of active subspaces in action.