@article{1472136, recid = {1472136}, author = {Rabenstein, Rudolf. and Schäfer, Maximilian.}, title = {Multidimensional Signals and Systems : Theory and Foundations /}, publisher = {Springer International Publishing AG,}, address = {Cham :}, pages = {1 online resource (xv, 507 pages).}, year = {2023}, abstract = {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.}, url = {http://library.usi.edu/record/1472136}, doi = {https://doi.org/10.1007/978-3-031-26514-3}, }