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Multidimensional Systems Theory and Applications by N.K. Bose Pdf
The Second Edition of this book includes an abundance of examples to illustrate advanced concepts and brings out in a text book setting the algorithms for bivariate polynomial matrix factorization results that form the basis of two-dimensional systems theory. Algorithms and their implementation using symbolic algebra are emphasized.
If your work involves signal processing, digital picture processing, circuits and systems, stability, system structural analysis, feedback control techniques, digital filter design, biomedical data processing, object recognition for robotics, or related topics, Multidimensional Systems is the only reference you need! Multidimensional Systems brings you a balanced, state-of-the-art presentation of the latest MDS concepts, methods, algorithms, and practical applications. Written by leading, international experts, the contributors not only provide essential review material in each chapter as well as up-to-date aspects of topics discussed, but also present fresh, original insights into their own experience with MDS. Moving smoothly from principles into applications, this single source covers such theoretical topics as structure and stability analysis, feedback control, finite-word-length effects, two-variable analog ladders, multidimensional signal modeling, two-dimensional digital filters, parameter and state identification, and multiprocessor configurations; applications include image processing, image transform coding, image restoration, and digital tomography. An ideal single source for electrical and electronics, industrial electronics, and computer engineers, the book is also important reading for systems scientists, mechanical engineers, and physicists and geophysicists. In addition, this volume offers graduate electrical engineering students, particularly those studying signal and image processing, a convenient, time-saving work on the techniques and applications of Multidimensional Systems. Book jacket.
Applied Multidimensional Systems Theory by Nirmal K. Bose Pdf
Revised and updated, this concise new edition of the pioneering book on multidimensional signal processing is ideal for a new generation of students. Multidimensional systems or m-D systems are the necessary mathematical background for modern digital image processing with applications in biomedicine, X-ray technology and satellite communications. Serving as a firm basis for graduate engineering students and researchers seeking applications in mathematical theories, this edition eschews detailed mathematical theory not useful to students. Presentation of the theory has been revised to make it more readable for students, and introduce some new topics that are emerging as multidimensional DSP topics in the interdisciplinary fields of image processing. New topics include Groebner bases, wavelets, and filter banks.
Multidimensional Signals, Circuits and Systems by Krzysztof Galkowski,Jeff David Wood Pdf
Although research on general multidimensional systems theory has been developing rapidly in recent years, this is the first research text to appear on the subject since the early 1980s. The text describes the current state of the art nD systems and sets out a number of open problems, and gives several different perspectives on the subject. It presents a number of different solutions to major theoretical problems as well as some interesting practical results. The book comprises of a selection of plenary and other lectures given at The First International Workshop on Multidimensional (nD) Systems (NDS-98) held in 1998 in Poland, and is written by leading world specialists in the field.
Mathematical Systems Theory in Biology, Communications, Computation and Finance by Joachim Rosenthal,David S. Gilliam Pdf
This volume contains survey and research articles by some of the leading researchers in mathematical systems theory - a vibrant research area in its own right. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists.
Multidimensional Chromatography by Hernan J. Cortes Pdf
This book summarizes all the important aspects of multidimensional separations, providing information on gas, liquid and thin-layer chromatography, as well as the techniques and applications of supercritical fluid chromatography in the multidimensional mode.
Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel,Alexandre Megretski Pdf
This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.
The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems by Bernardo Cockburn,Institute for Computer Applications in Science and Engineering Pdf
This is the fifth paper in a series in which we construct and study the so-called Range-Kutta Discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation laws. The algorithms are described and discussed, including algorithm formulation and practical implementation issues such as the numerical fluxes, quadrature rules, degrees of freedom, and the slope limiters, both in the triangular and the rectangular element cases. Numerical experiments for two dimensional Euler equations of compressible gas dynamics are presented that show the effect of the (formal) order of accuracy and the use of triangles or rectangles, on the quality of the approximation.
This book deals with the mathematical properties of dimensioned quantities, such as length, mass, voltage, and viscosity. Beginning with a careful examination of how one expresses the numerical results of a measurement and uses these results in subsequent manipulations, the author rigorously constructs the notion of dimensioned numbers and discusses their algebraic structure. The result is a unification of linear algebra and traditional dimensional analysis that can be extended from the scalars to which the traditional analysis is perforce restricted to multidimensional vectors of the sort frequently encountered in engineering, systems theory, economics, and other applications.
Numerical Approximation of Hyperbolic Systems of Conservation Laws by Edwige Godlewski,Pierre-Arnaud Raviart Pdf
This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the one-dimensional case by finite-difference con servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader's convenience, we shall resume in this Introduction the notions that are necessary for a self-sufficient understanding of this book -the main definitions of hyperbolicity, weak solutions, and entropy present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case.
Current Problems in Applied Mathematics and Computer Science and Systems by Anatoly Alikhanov,Pavel Lyakhov,Irina Samoylenko Pdf
This book is based on the best papers accepted for presentation during the International Conference on Actual Problems of Applied Mathematics and Computer Systems (APAMCS-2022), Russia. The book includes research materials on modern mathematical problems, solutions in the field of scientific computing, data analysis and modular computing. The scope of numerical methods in scientific computing presents original research, including mathematical models and software implementations, related to the following topics: numerical methods in scientific computing; solving optimization problems; methods for approximating functions, etc. The studies in data analysis and modular computing include contributions in the field of deep learning, neural networks, mathematical statistics, machine learning methods, residue number system and artificial intelligence. Finally, the book gives insights into the fundamental problems in mathematics education. The book intends for readership specializing in the field of scientific computing, parallel computing, computer technology, machine learning, information security and mathematical education.
Information Processing and Security Systems by Khalid Saeed,Jerzy Pejas Pdf
Information Processing and Security Systems is a collection of forty papers that were originally presented at an international multi-conference on Advanced Computer Systems (ACS) and Computer Information Systems and Industrial Management Applications (CISIM) held in Elk, Poland. This volume describes the latest developments in advanced computer systems and their applications within artificial intelligence, biometrics and information technology security. The volume also includes contributions on computational methods, algorithms and applications, computational science, education and industrial management applications.
Algebraic and Symbolic Computation Methods in Dynamical Systems by Alban Quadrat,Eva Zerz Pdf
This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.
Gröbner Bases in Control Theory and Signal Processing by Hyungju Park,Georg Regensburger Pdf
This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.