Applied Multidimensional Systems Theory

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.

Serves as a short textbook for the latest generation of graduate students and researchers in multidimensional systems theory, such as signal processing applications Concise treatment of a dense subject Written by the world-renowned expert in multidimensional signals and systems theory, and founder of the Multidimensional Systems and Signal Processing journal

Autorentext
Dr. Nirmal K. Bose was a world-renowned expert whose important contributions in signals and systems theory lie in unifying and presenting a broad range of problems from engineering to applied mathematics under the common umbrella of multidimensional signals and systems. Professor Bose served as Singer Professor of Signal Processing, the HRB Systems Professor, and later as university Endowed Fetter professor, at Pennsylvania State University from 1986 until his death in 2009.Professor Bose authored, coauthored or edited fifteen books, including authoring Applied Multidimensional Systems Theory, Digital Filters, and edited Multidimensional Systems Theory and Applications. In 1990 he founded the journal Multidimensional Systems and Signal Processing, for which he was Editor-in-Chief for nineteen years.

Inhalt
Multivariate Polynomial Fundamentals for Multidimensional Systems.- Multivariate Polynomial Positivity (Nonnegativity) Tests.- Multidimensional Sampling.- Multidimensional Digital Filter Recursibility and Stability.- 2-D Fir Filters, Linear Prediction adn 2-D IIR Filters.- Wavelets and Filter Banks.