Sampling: Theory and Applications: A Centennial Celebration of Claude Shannon

This volume presents state-of-the-art advances and trends in sampling theory and related areas,with chapters written by prominent experts. It also celebrates Claude Shannons 100th birthday and covers topics such as compressed sensing, non-uniform and wave sampling, A-to-D conversion, finite rate of innovation, time-frequency analysis, operator theory, and mobile sampling issues.

Format: Paperback / softback
Length: 197 pages
Publication date: 21 May 2021
Publisher: Springer Nature Switzerland AG

This volume presents a collection of chapters based on talks delivered at the eleventh international Sampling Theory and Applications conference, held in 2015 at American University in Washington, D.C. The papers showcased cutting-edge advancements and emerging trends in sampling theory and its interdisciplinary applications, including signal and image processing. Renowned mathematicians, applied scientists, and engineers with expertise in sampling theory contributed to the writing of these chapters. Additionally, the book commemorates Claude Shannons 100th birthday, with an introductory essay that emphasizes Shannons profound influence on the field. The topics covered in this comprehensive volume encompass both theoretical foundations and practical applications, such as:
Compressed sensing: This chapter explores the concept of compressing signals or images using sampling techniques, resulting in reduced data storage and transmission requirements. It discusses various compression algorithms and their performance in various applications.
Non-uniform and wave sampling: This chapter examines the design of sampling schemes for non-uniform or wave-like signals, such as audio or seismic data. It discusses the advantages and disadvantages of different sampling strategies and their impact on signal reconstruction and analysis.
A-to-D conversion: This chapter discusses the conversion of analog signals to digital form for various applications, including data storage, processing, and transmission. It explores different analog-to-digital conversion techniques, such as analog-to-digital converters (ADCs) and digital-to-analog converters (DACs).
Finite rate of innovation: This chapter explores the theory of finite rate of innovation, which is fundamental in signal processing and communications. It discusses the principles of data compression, source coding, and channel coding, and their applications in communication systems.
Time-frequency analysis: This chapter discusses the analysis of signals or images in the time and frequency domains. It explores techniques such as Fourier transform, wavelets, and time-frequency dictionaries, and their applications in signal processing, image analysis, and medical imaging.
Operator theory: This chapter discusses the theory of operators and their applications in sampling theory and related areas. It explores the properties of operators, such as convolution, correlation, and differentiation, and their use in signal processing, image processing, and control systems.
Mobile sampling issues: This chapter addresses the challenges and considerations associated with mobile sampling, particularly in wireless communication systems. It discusses the design of mobile sampling systems, the effects of mobility on signal quality, and the use of adaptive sampling techniques to mitigate the impact of mobility.
Sampling: Theory and Applications is an essential resource for mathematicians, engineers, and applied scientists engaged in research and development in sampling theory or its interdisciplinary applications. The book provides a comprehensive overview of the latest advancements, trends, and challenges in the field, and serves as a valuable reference for both academicians and practitioners.

Weight: 454g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030362935
Edition number: 1st ed. 2020