Applied Multidimensional Systems Theory

1. Front Matter

   Pages i-xiii

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2. Multivariate Polynomial Fundamentals for Multidimensional Systems

   • Nirmal K. Bose

   Pages 1-36

3. Multivariate Polynomial Positivity (Nonnegativity) Tests

   • Nirmal K. Bose

   Pages 37-56

4. Multidimensional Sampling

   • Nirmal K. Bose

   Pages 57-80

5. Multidimensional Digital Filter Recursibility and Stability

   • Nirmal K. Bose

   Pages 81-125

6. 2-D FIR Filters, Linear Prediction and 2-D IIR Filters

   • Nirmal K. Bose

   Pages 127-159

7. Wavelets and Filter Banks

   • Nirmal K. Bose

   Pages 161-188

8. Back Matter

   Pages 189-192

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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 systems theory
• Control systems
• Digital filters
• Multivariate polynomial
• Wavelets and filter banks
• Multidimensional sampling
• Signal processing

“At each chapter there are a set of very interesting exercises, with reference to the presented theory. In conclusion, the present book can be considered as a classical one … .” (Dumitru Stanomir, zbMATH 1378.93001, 2018)

• Electrical Engineering Department, Pennsylvania State University, State College, USA

  Nirmal K. Bose

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.  

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