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.

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.

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.

This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related topics, held at the Department of Mathematics of the Ben-Gurion University of the Negev in June, 2005. The book will interest a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

The first book dedicated to this new and powerful computational method begins with a comprehensive description of MCTDH and its theoretical background. There then follows a discussion of recent extensions of MCTDH, such as the treatment of identical particles, leading to the MCTDHF and MCTDHB methods for fermions and bosons. The third section presents a wide spectrum of very different applications to reflect the large diversity of problems that can be tackled by MCTDH. The result is handbook and ready reference for theoretical chemists, physicists, chemists, graduate students, lecturers and software producers.

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.

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.