Multidimensional Signals and Systems: Theory and Foundations

This book covers the theory of multidimensional signals and systems, extending the properties and tools of one-dimensional signals and systems to multiple dimensions. It emphasizes physical systems described by partial differential equations, signal spaces, and functional transformations, with a comprehensive and educational approach.

Format: Hardback
Length: 509 pages
Publication date: 04 May 2023
Publisher: Springer International Publishing AG

This comprehensive book delves into the realm of multidimensional signals and systems, encompassing both theoretical foundations and practical applications. It expands the properties and mathematical tools inherited from one-dimensional signals and systems to encompass multiple dimensions, covering a wide range of timeless topics such as multidimensional transformations, multidimensional sampling, and discrete multidimensional systems. A significant emphasis is placed on physical systems modeled by partial differential equations, the development of suitable integral transformations, and the implementation of corresponding discrete-time algorithms. To achieve this, signal spaces and functional transformations are introduced at a mathematical level, typically taught in undergraduate engineering and science programs.

The presentation of the material adopts a comprehensive, illustrative, and educational approach, devoid of specific references to any particular application domain. Instead, the book aims to establish a robust theoretical framework for multidimensional signals and systems and demonstrate its practical relevance across various real-world problems. By presenting a balanced blend of theory and application, this book serves as an invaluable resource for students, researchers, and practitioners seeking to gain a deeper understanding of multidimensional signal processing and its applications in diverse fields.

Dimension: 235 x 155 (mm)
ISBN-13: 9783031265136
Edition number: 1st ed. 2023