Convergence of numerical methods
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Back to Top2016 IEEE 55th IEEE Conference on Decision and Control (CDC)
The CDC is recognized as the premier scientific and engineering conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, automatic control, and related areas.
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Back to TopAntennas and Propagation, IEEE Transactions on
Experimental and theoretical advances in antennas including design and development, and in the propagation of electromagnetic waves including scattering, diffraction and interaction with continuous media; and applications pertinent to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques.
Circuits and Systems I: Regular Papers, IEEE Transactions on
Part I will now contain regular papers focusing on all matters related to fundamental theory, applications, analog and digital signal processing. Part II will report on the latest significant results across all of these topic areas.
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Signalprocessing aspects of image processing, imaging systems, and image scanning, display, and printing. Includes theory, algorithms, and architectures for image coding, filtering, enhancement, restoration, segmentation, and motion estimation; image formation in tomography, radar, sonar, geophysics, astronomy, microscopy, and crystallography; image scanning, digital halftoning and display, andcolor reproduction.
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The fundamental nature of the communication process; storage, transmission and utilization of information; coding and decoding of digital and analog communication transmissions; study of random interference and informationbearing signals; and the development of informationtheoretic techniques in diverse areas, including data communication and recording systems, communication networks, cryptography, detection systems, pattern recognition, learning, and automata.
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Microwave theory, techniques, and applications as they relate to components, devices, circuits, and systems involving the generation, transmission, and detection of microwaves.
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Back to TopFiniteElement Analysis for a RollingRotor Electrical Machine
Antero Arkkio; Adam Biernat; Bogdan Bucki; Grzegorz Kaminski; Asko Niemenmaa; Andrzej Smak; Pawel Staszewski IEEE Transactions on Magnetics, 2010
A method for finiteelement analysis of a rollingrotor electrical machine was developed. The conventional movingband technique for modeling motion was replaced by an element structure of radial bands in the air gap. This finite element scheme allows a large distortion of the elements at the contact point of stator and rotor without suffering of problems in the convergence of numerical ...
A subspace blind adaptive multiuser detection scheme over multipath channel using Kalman filter
Hongwei Zhou; Wai Lok Woo; B. Sharif Vehicular Technology Conference, 2004. VTC2004Fall. 2004 IEEE 60th, 2004
Blind multiuser detection in CDMA systems is considered in this paper. A new blind adaptive multiuser detection scheme, based on a hybrid of Kalman filter and subspace estimation, is proposed. It is shown that the detector can be expressed as an anchored signal in the signal subspace and the coefficients can be estimated by the Kalman filter using only the ...
Physical and CAD models for the implantedchannel VLSI MOSFET
G. T. Wright IEEE Transactions on Electron Devices, 1987
A new approach is described for the modeling of practical MOS transistors that have nonuniform substrate doping profiles. The threshold characteristic is used to provide an accurate measure of body charge and thereby to give operating point dependences of the threshold voltage, body effect, mobility, and weakinversion conduction. The results are incorporated into a simple and flexible CAD model suitable ...
Heeduck Chae; Hanseung Lee; Yonghoon Kim; Sangwook Nam 2007 IEEE Antennas and Propagation Society International Symposium, 2007
There has been much interest in accurate and fast numerical analysis of 1D periodic planar structures. Recently the efficient method to obtain 1D periodic Green's functions in planar structure was proposed (Baccarelli et al., 2006). Here we propose the efficient method for the evaluation of impedance matrix in applying the method of moment.
A Collinear Scaling Algorithm with Adaptive Trust Region for Unconstrained Optimization
Yang Yang 2009 Second International Conference on Information and Computing Science, 2009
This paper is concerned with a collinear scaling algorithm based on adaptive trust region for unconstrained optimization. Under certain mild conditions, we establish the global convergence result of the proposed method. We can accomplish our algorithm with the simpler symmetricrank1 qusiNewton updating formula. Numerical results show that the new method is efficient.
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FiniteElement Analysis for a RollingRotor Electrical Machine
Antero Arkkio; Adam Biernat; Bogdan Bucki; Grzegorz Kaminski; Asko Niemenmaa; Andrzej Smak; Pawel Staszewski IEEE Transactions on Magnetics, 2010
A method for finiteelement analysis of a rollingrotor electrical machine was developed. The conventional movingband technique for modeling motion was replaced by an element structure of radial bands in the air gap. This finite element scheme allows a large distortion of the elements at the contact point of stator and rotor without suffering of problems in the convergence of numerical ...
A subspace blind adaptive multiuser detection scheme over multipath channel using Kalman filter
Hongwei Zhou; Wai Lok Woo; B. Sharif Vehicular Technology Conference, 2004. VTC2004Fall. 2004 IEEE 60th, 2004
Blind multiuser detection in CDMA systems is considered in this paper. A new blind adaptive multiuser detection scheme, based on a hybrid of Kalman filter and subspace estimation, is proposed. It is shown that the detector can be expressed as an anchored signal in the signal subspace and the coefficients can be estimated by the Kalman filter using only the ...
Physical and CAD models for the implantedchannel VLSI MOSFET
G. T. Wright IEEE Transactions on Electron Devices, 1987
A new approach is described for the modeling of practical MOS transistors that have nonuniform substrate doping profiles. The threshold characteristic is used to provide an accurate measure of body charge and thereby to give operating point dependences of the threshold voltage, body effect, mobility, and weakinversion conduction. The results are incorporated into a simple and flexible CAD model suitable ...
Heeduck Chae; Hanseung Lee; Yonghoon Kim; Sangwook Nam 2007 IEEE Antennas and Propagation Society International Symposium, 2007
There has been much interest in accurate and fast numerical analysis of 1D periodic planar structures. Recently the efficient method to obtain 1D periodic Green's functions in planar structure was proposed (Baccarelli et al., 2006). Here we propose the efficient method for the evaluation of impedance matrix in applying the method of moment.
A Collinear Scaling Algorithm with Adaptive Trust Region for Unconstrained Optimization
Yang Yang 2009 Second International Conference on Information and Computing Science, 2009
This paper is concerned with a collinear scaling algorithm based on adaptive trust region for unconstrained optimization. Under certain mild conditions, we establish the global convergence result of the proposed method. We can accomplish our algorithm with the simpler symmetricrank1 qusiNewton updating formula. Numerical results show that the new method is efficient.
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A rectangle is a large numerical array of counts or of scores, the rows corresponding to positions on one wheel, the columns corresponding to positions on another, and the cells corresponding to all places in the cipher sharing positions of the two wheels in question. The first rectangle ever done for wheelbreaking purposes. The first 10,000 letters of a message were used and the result of the convergence enabled the rest of the message to be set convincingly at a slide. This enabled the worker to feel that things were going well, and can be regarded as a form of significance test. This chapter on rectangling describes making and entering rectangles, crude convergence, starts for converging rectangles, rectangle significance tests, conditional rectangle, theory of convergence, theory of significance tests and other theory of rectangles.

Appendix B: SourceField Relationships for Cylinders Illuminated by an Obliquely Incident Field
Computational Methods for Electromagnetics is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finiteelement procedures. In addition, readers will gain a thorough understanding of numerical solution procedures. Topics covered include: Two and threedimensional integral equation/methodofmoments formulations Openregion finiteelement formulations based on the scalar and vector Helmholtz equations Finite difference timedomain methods Direct and iterative algorithms for the solutions of linear systems Error analysis and the convergence behavior of numerical results Radiation boundary conditions Acceleration methods for periodic Green's functions Vector finite elements Detail is provided to enable the reader to implement concepts in software and, in addition, a collection of related computer programs are available via the Internet. Computational Methods for Electromagnetics is designed for graduatelevel classroom use or selfstudy, and every chapter includes problems. It will also be of particular interest to engineers working in the aerospace, defense, telecommunications, wireless, electromagnetic compatibility, and electronic packaging industries.

Appendix C: Modal Expansion in a Cavity
Electrical Engineering/Electromagnetics Singular Electromagnetic Fields and Sources A volume in the IEEE Series on Electromagnetic Wave Theory Donald D. Dudley, Series Editor 'I will cherish my copy of this gem.'James R. Wait This is a companion volume to the many available graduate textbooks on electromagnetic theory. It is devoted to a study of the infinities in electromagnetic fields and in their sources. Three types of singularities are investigated: (1) Those associated with strongly concentrated sources of charge and current, the relevant densities are expressed in terms of delta functions and derivatives. (2) Those associated with the fields resulting from strongly concentrated sources. (3) Those which occur at sharp edges and vertices of cones and sectors. The approach is both theoretical and numerical. The information presented, far from being purely formal, is of importance for practical work. It can be used, for example, to accelerate significantly the convergence of a numerical algorithm. The book is written for electrical engineers and applied physicists who have an interest in the general topic of 'Maxwell's equations' and more particularly for those who are engaged in the actual solution of electromagnetic problems. The mathematical level of the text is that of the 'applied' mathematician. An introductory chapter on 'Distribution Theory' has been written in that spirit. Also in the series. Mathematical Foundations for Electromagnetic Theory Donald D. Dudley, University of Arizona, Tucson 1994 Hardcover 256 pp Methods for Electromagnetic Field Analysis Ismo V. Lindell, Helsinki University of Technology 1992 Hardcover 320 pp The Transmission Line Modeling Method: TLM Christos Christopoulos, University of Nottingham 1995 Hardcover 232 pp

A finite difference (FD) method for rapid and accurate evaluation of capacitance matrices of interconnect configurations is described in this work. The method utilizes the newly developed _Perfectly Matching Layer_ technique for mesh truncation, specially adapted to the static case in conjunction with a mixed boundary condition, referred to herein as the ?>technique. Applications of the proposed approach to the modeling of complex structures, comprising multiple metal layers, crossovers, vias and bends embedded in a layered dielectric medium, are illustrated in this chapter. The technique has been combined with the domain decomposition approach to compute the capacitance matrices of complex interconnect configurations in an efficient manner. Both the overlapping and nonoverlapping domain types of approaches are employed to model the interconnects, and convergence and efficiency issues of the proposed algorithms are examined. A novel approach for efficient truncation of a class of large interconnects called the wraparound scheme, is introduced in this work. Several numerical examples that illustrate the efficiency and flexibility of the approaches, described above, are included.

Electrical Engineering/Electromagnetics Singular Electromagnetic Fields and Sources A volume in the IEEE Series on Electromagnetic Wave Theory Donald D. Dudley, Series Editor 'I will cherish my copy of this gem.'James R. Wait This is a companion volume to the many available graduate textbooks on electromagnetic theory. It is devoted to a study of the infinities in electromagnetic fields and in their sources. Three types of singularities are investigated: (1) Those associated with strongly concentrated sources of charge and current, the relevant densities are expressed in terms of delta functions and derivatives. (2) Those associated with the fields resulting from strongly concentrated sources. (3) Those which occur at sharp edges and vertices of cones and sectors. The approach is both theoretical and numerical. The information presented, far from being purely formal, is of importance for practical work. It can be used, for example, to accelerate significantly the convergence of a numerical algorithm. The book is written for electrical engineers and applied physicists who have an interest in the general topic of 'Maxwell's equations' and more particularly for those who are engaged in the actual solution of electromagnetic problems. The mathematical level of the text is that of the 'applied' mathematician. An introductory chapter on 'Distribution Theory' has been written in that spirit. Also in the series. Mathematical Foundations for Electromagnetic Theory Donald D. Dudley, University of Arizona, Tucson 1994 Hardcover 256 pp Methods for Electromagnetic Field Analysis Ismo V. Lindell, Helsinki University of Technology 1992 Hardcover 320 pp The Transmission Line Modeling Method: TLM Christos Christopoulos, University of Nottingham 1995 Hardcover 232 pp

Adaptive filters play an important role in the fields related to digital signal processing and communication, such as system identification, noise cancellation, channel equalization, and beamforming. In practical applications, the computational complexity of an adaptive filter is an important consideration. The Least Mean Square (LMS) algorithm is widely used because of its low computational complexity ($O(N)$) and simplicity in implementation. The least squares algorithms, such as Recursive Least Squares (RLS), Conjugate Gradient (CG), and Euclidean Direction Search (EDS), can converge faster and have lower steadystate mean square error (MSE) than LMS. However, their high computational complexity ($O(N^2)$) makes them unsuitable for many realtime applications. A wellknown approach to controlling computational complexity is applying partial update (PU) method to adaptive filters. A partial update method can reduce the adaptive algorithm complexity by updating part of the weight vec or instead of the entire vector or by updating part of the time. In the literature, there are only a few analyses of these partial update adaptive filter algorithms. Most analyses are based on partial update LMS and its variants. Only a few papers have addressed partial update RLS and Affine Projection (AP). Therefore, analyses for PU least squares adaptive filter algorithms are necessary and meaningful. This monograph mostly focuses on the analyses of the partial update leastsquares adaptive filter algorithms. Basic partial update methods are applied to adaptive filter algorithms including Least Squares CMA (LSCMA), EDS, and CG. The PU methods are also applied to CMA12 and NCMA to compare with the performance of the LSCMA. Mathematical derivation and performance analysis are provided including convergence condition, steadystate mean and meansquare performance for a timeinvariant system. The steadystate mean and meansquare performance are also presented for a timevarying syste . Computational complexity is calculated for each adaptive filter algorithm. Numerical examples are shown to compare the computational complexity of the PU adaptive filters with the fullupdate filters. Computer simulation examples, including system identification and channel equalization, are used to demonstrate the mathematical analysis and show the performance of PU adaptive filter algorithms. They also show the convergence performance of PU adaptive filters. The performance is compared between the original adaptive filter algorithms and different partialupdate methods. The performance is also compared among similar PU leastsquares adaptive filter algorithms, such as PU RLS, PU CG, and PU EDS. In addition to the generic applications of system identification and channel equalization, two special applications of using partial update adaptive filters are also presented. One application uses PU adaptive filters to detect Global System for Mobile Communication (GSM) signals in a local GSM system using the Open Base Transceiver Station (OpenBTS) and Asterisk Private Branch Exchange (PBX). The other application uses PU adaptive filters to do image compression in a system combining hyperspectral image compression and classification.

Computational Methods for Electromagnetics is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finiteelement procedures. In addition, readers will gain a thorough understanding of numerical solution procedures. Topics covered include: Two and threedimensional integral equation/methodofmoments formulations Openregion finiteelement formulations based on the scalar and vector Helmholtz equations Finite difference timedomain methods Direct and iterative algorithms for the solutions of linear systems Error analysis and the convergence behavior of numerical results Radiation boundary conditions Acceleration methods for periodic Green's functions Vector finite elements Detail is provided to enable the reader to implement concepts in software and, in addition, a collection of related computer programs are available via the Internet. Computational Methods for Electromagnetics is designed for graduatelevel classroom use or selfstudy, and every chapter includes problems. It will also be of particular interest to engineers working in the aerospace, defense, telecommunications, wireless, electromagnetic compatibility, and electronic packaging industries.

The Discretization Process: Basis/Testing Functions and Convergence
This chapter contains sections titled: Inner Product Space The Method of Moments Examples of Subsectional Basis Functions Interpolation Error Dispersion Analysis Differentiability Constraints on Basis and Testing Functions Eigenvalue Projection Theory Classification of Operators for Several Canonical Equations Convergence Arguments Based on Galerkin's Method Convergence Arguments Based on Degenerate Kernel Analogs Convergence Arguments Based on Projection Operators The Stationary Character of Functionals Evaluated Using Numerical Solutions Summary This chapter contains sections titled: References Problems

Appendix D: Modal Expansion in a Waveguide
Electrical Engineering/Electromagnetics Singular Electromagnetic Fields and Sources A volume in the IEEE Series on Electromagnetic Wave Theory Donald D. Dudley, Series Editor 'I will cherish my copy of this gem.'James R. Wait This is a companion volume to the many available graduate textbooks on electromagnetic theory. It is devoted to a study of the infinities in electromagnetic fields and in their sources. Three types of singularities are investigated: (1) Those associated with strongly concentrated sources of charge and current, the relevant densities are expressed in terms of delta functions and derivatives. (2) Those associated with the fields resulting from strongly concentrated sources. (3) Those which occur at sharp edges and vertices of cones and sectors. The approach is both theoretical and numerical. The information presented, far from being purely formal, is of importance for practical work. It can be used, for example, to accelerate significantly the convergence of a numerical algorithm. The book is written for electrical engineers and applied physicists who have an interest in the general topic of 'Maxwell's equations' and more particularly for those who are engaged in the actual solution of electromagnetic problems. The mathematical level of the text is that of the 'applied' mathematician. An introductory chapter on 'Distribution Theory' has been written in that spirit. Also in the series. Mathematical Foundations for Electromagnetic Theory Donald D. Dudley, University of Arizona, Tucson 1994 Hardcover 256 pp Methods for Electromagnetic Field Analysis Ismo V. Lindell, Helsinki University of Technology 1992 Hardcover 320 pp The Transmission Line Modeling Method: TLM Christos Christopoulos, University of Nottingham 1995 Hardcover 232 pp

Electrical Engineering/Electromagnetics Singular Electromagnetic Fields and Sources A volume in the IEEE Series on Electromagnetic Wave Theory Donald D. Dudley, Series Editor 'I will cherish my copy of this gem.'James R. Wait This is a companion volume to the many available graduate textbooks on electromagnetic theory. It is devoted to a study of the infinities in electromagnetic fields and in their sources. Three types of singularities are investigated: (1) Those associated with strongly concentrated sources of charge and current, the relevant densities are expressed in terms of delta functions and derivatives. (2) Those associated with the fields resulting from strongly concentrated sources. (3) Those which occur at sharp edges and vertices of cones and sectors. The approach is both theoretical and numerical. The information presented, far from being purely formal, is of importance for practical work. It can be used, for example, to accelerate significantly the convergence of a numerical algorithm. The book is written for electrical engineers and applied physicists who have an interest in the general topic of 'Maxwell's equations' and more particularly for those who are engaged in the actual solution of electromagnetic problems. The mathematical level of the text is that of the 'applied' mathematician. An introductory chapter on 'Distribution Theory' has been written in that spirit. Also in the series. Mathematical Foundations for Electromagnetic Theory Donald D. Dudley, University of Arizona, Tucson 1994 Hardcover 256 pp Methods for Electromagnetic Field Analysis Ismo V. Lindell, Helsinki University of Technology 1992 Hardcover 320 pp The Transmission Line Modeling Method: TLM Christos Christopoulos, University of Nottingham 1995 Hardcover 232 pp
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