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Multidimensional Systems Theory

Multidimensional Systems Theory PDF Author: N.K. Bose
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 288

Book Description
Approach your problem from the right end It isn't that they can't see the solution. and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown The point of a Pin. The Hermit Clad in Crane Feathers in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addi tion to this there are such new emerging subdisciplines as "experimental mathematical", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order" , which are almost impossible to fit into the existing classification schemes.

Multidimensional Systems Theory

Multidimensional Systems Theory PDF Author: N.K. Bose
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 288

Book Description
Approach your problem from the right end It isn't that they can't see the solution. and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown The point of a Pin. The Hermit Clad in Crane Feathers in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addi tion to this there are such new emerging subdisciplines as "experimental mathematical", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order" , which are almost impossible to fit into the existing classification schemes.

Multidimensional Systems Theory and Applications

Multidimensional Systems Theory and Applications PDF Author: N.K. Bose
Publisher: Springer
ISBN: 9401702756
Category : Technology & Engineering
Languages : en
Pages : 282

Book Description
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.

Applied Multidimensional Systems Theory

Applied Multidimensional Systems Theory PDF Author: Nirmal K. Bose
Publisher: Springer
ISBN: 3319468251
Category : Technology & Engineering
Languages : en
Pages : 202

Book Description
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.

Applied Multidimensional Systems Theory

Applied Multidimensional Systems Theory PDF Author: N. K Bose
Publisher:
ISBN:
Category : System analysis
Languages : en
Pages : 411

Book Description


Multidimensional Systems

Multidimensional Systems PDF Author: Nirmal K. Bose
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 356

Book Description


Topics in Multidimensional Linear Systems Theory

Topics in Multidimensional Linear Systems Theory PDF Author: Eva Zerz
Publisher: Springer Science & Business Media
ISBN: 9781852333362
Category : Language Arts & Disciplines
Languages : en
Pages : 188

Book Description
The past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of an image. The behavioural approach introduced by J. C. Willems provides a particularly suitable framework for developing a linear systems theory in several variables. The book deals with the classical concepts of autonomy, controllability, observability, and stabilizability. All the tests and criteria given are constructive in the sense that algorithmic versions may be implemented in modern computer algebra systems, using Gröbner basis techniques. There is a close connection between multidimensional systems theory and robust control of one-dimensional systems with several uncertain parameters. The central link consists in the basic tool of linear fractional transformations. The book concludes with examples from the theory of electrical networks.

Multidimensional Signals and Systems

Multidimensional Signals and Systems PDF Author: Rudolf Rabenstein
Publisher: Springer Nature
ISBN: 3031265149
Category : Computers
Languages : en
Pages : 514

Book Description
This book covers the theory of multidimensional signals and systems and related practical aspects. It extends the properties and mathematical tools of one-dimensional signals and systems to multiple dimensions and covers relevant timeless topics including multidimensional transformations, multidimensional sampling as well as discrete multidimensional systems. A special emphasis is placed on physical systems described by partial differential equations, the construction of suitable integral transformations and the implementation of the corresponding discrete-time algorithms. To this end, signal spaces and functional transformations are introduced at a mathematical level provided by undergraduate programs in engineering and science. The presentation takes a comprehensive, illustrative and educational approach without reference to a particular application field. Instead, the book builds a solid theoretical concept of multidimensional signals and systems and shows the application to various problems relevant for practical scenarios.

Multidimensional Systems

Multidimensional Systems PDF Author: Nirmal K. Bose
Publisher: IEEE
ISBN: 9780879421090
Category : Mathematics
Languages : en
Pages : 295

Book Description


Multidimensional Analysis

Multidimensional Analysis PDF Author: George W. Hart
Publisher: Springer Science & Business Media
ISBN: 1461242088
Category : Mathematics
Languages : en
Pages : 242

Book Description
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.

Multidimensional Systems

Multidimensional Systems PDF Author: Tzafestas
Publisher: CRC Press
ISBN: 9780824773014
Category : Computers
Languages : en
Pages : 658

Book Description
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.