Multidimensional Signals and Systems
by Rudolf Rabenstein, Maximilian Schäfer
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.
Hardcover
Brand New
Publisher 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 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.
Table of 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.
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