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. Front Matter....Pages i-xiii Multivariate Polynomial Fundamentals for Multidimensional Systems....Pages 1-36 Multivariate Polynomial Positivity (Nonnegativity) Tests....Pages 37-56 Multidimensional Sampling....Pages 57-80 Multidimensional Digital Filter Recursibility and Stability....Pages 81-125 2-D FIR Filters, Linear Prediction and 2-D IIR Filters....Pages 127-159 Wavelets and Filter Banks....Pages 161-188 Back Matter....Pages 189-192