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Full 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.
Contents
1. Introduction.- 2. Overview on Multidimensional Signals.- Part I: Theory.- 3. Elements from One-Dimensional Signals and Systems.- 4. Multidimensional Signals.- 5. Discrete Multidimensional Systems.- 6. Continuous Multidimensional Systems.- Part II Applications.- 7. Electrical Transmission Lines.- 8. Particle Diffusion.- 9. Sound Synthesis.- 10. Sound Propagation.- 11. Mathematical Derivations.- Solutions to Problems.
