TY - GEN AB - 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. AU - Rabenstein, Rudolf. AU - Schäfer, Maximilian. CN - TK5102.5 CY - Cham : DA - 2023. DO - 10.1007/978-3-031-26514-3 DO - doi ID - 1472136 KW - Signal theory (Telecommunication) KW - System analysis. LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-26514-3 N2 - 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. PB - Springer International Publishing AG, PP - Cham : PY - 2023. SN - 9783031265143 SN - 3031265149 T1 - Multidimensional Signals and Systems :Theory and Foundations / TI - Multidimensional Signals and Systems :Theory and Foundations / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-26514-3 ER -