Duration and Bandwidth Limiting: Prolate Functions, Sampling, and Applications

ISBN-13: 9780817683061 / Angielski / Twarda / 2011 / 258 str.

Jeffrey A. Hogan; Joseph D. Lakey

Opis

Increasingly important in the field of communications, the study of time and band limiting is crucial for the modeling and analysis of multiband signals. This concise but comprehensive monograph is the first to be devoted specifically to this subdiscipline, providing a thorough investigation of its theory and applications. Through cutting-edge numerical methods, it develops the tools for applications not only to communications engineering, but also to optical engineering, geosciences, planetary sciences, and biomedicine. §With broad coverage and a careful balance between rigor and readability, Duration and Bandwidth Limiting is a particularly original and valuable resource both for mathematicians interested in the field and for professional engineers with an interest in theory. While its main target audience is practicing scientists, the book may also serve as useful supplemental reading material for mathematically-based graduate courses in communications and signal processing.

Recenzje

From the reviews:

"One can learn much from this volume without a lot of outside background reading. ... There is plenty of value for those interested in time series analysis and signal processing. ... In summary, this book can be recommended ... to mathematicians for the beauty of its topics, to time series and signal processing mavens as a source book of practical tools, and lastly to the numerical analyst intrigued by the new subdomain of spectral methods where prolate functions are trying to expel Legendre polynomials." (John P. Boyd, SIAM Review, Vol. 55 (3), 2013)

"This book is primarily a mathematical monograph and applied in nature, special emphasis is on mathematical methods. ... The goal of this book is to maintain the focus on the central concepts of time- and band-limiting. ... Although the main target audience of this book is professional engineers, it may also be used as reading material for graduate courses in communication engineering. A well written book." (Prabhat Kumar Mahanti, Zentralblatt MATH, Vol. 1236, 2012)

"The subject of this book is of great interest to both electrical engineers and mathematicians. ... The book under review discusses different aspects of the problem of optimizing the time duration and bandwidth of finite energy signals. ... To the best of my knowledge, there are only a handful of books in the literature covering similar topics, but the book under review presents them from a different perspective, and as a result it is a new contribution to the field." (Ahmed I. Zayed, Mathematical Reviews, Issue 2012 m)

Spis treści

Preface.- Chapter 1: The Bell Labs Theory.- Chapter 2: Numerical Aspects of Time- and Bandlimiting.- Chapter 3: Thomson's Multitaper Method and Applications to Channel Modeling.- Chapter 4: Time- and Bandlimiting of Multiband Signals.- Chapter 5: Sampling of Bandlimited and Multiband Signals.- Chapter 6: Time-localized Sampling Approximations.- Appendix: Notation and Mathematical Prerequisites.- References.- Index.

O autorze

Jeffrey A. Hogan received his Ph.D. from the University of South Wales and is currently a Senior Lecturer in Mathematics at the University of Newcastle. He has worked as a fellow or professor at over a dozen institutions in Australia and Europe, and has served as a referee for numerous prestigious mathematical journals. A recipient of an Australian Postgraduate Research Award from 1985-1989, Dr. Hogan has published 28 articles and coauthored two books, the most recent of which, Time--Frequency and Time--Scale Methods, was a joint project with his current collaborator, Joseph Lakey.

Joseph D. Lakey currently serves as Head of the Mathematical Sciences Department at New Mexico State University (NMSU). He received his Ph.D. in mathematics from the University of Maryland under a dissertation fellowship, after which he served as a professor or fellow at numerous universities throughout America. Dr. Lakey received the 2005 Outstanding Faculty Award for the Arts & Sciences at NMSU, has provided extensive research support to seminars and conferences over the past decade, and, along with his 2005 collaboration with Dr. Hogan, has published over 40 journal articles in the past few decades.

Blurb

Channel modeling and analysis of multiband signals are becoming increasingly important in the field of communications, and the study of time and band limiting is a crucial component of these processes. This concise but comprehensive monograph is the first to be devoted specifically to this study, providing a thorough investigation of its theory and applications. Via state-of-the-art numerical methods, it develops the tools for applications not only to communications engineering, but also to optical engineering, geosciences, planetary sciences, and biomedicine. 

Duration and Bandwidth Limiting begins with a discussion of the Bell Labs theory, both discrete and continuous, and goes on to address various related numerical and analytical techniques. It introduces a number of problems relevant to finite signal processing, and finally builds a theoretical framework for the sampling of time- and band-limited signals. Throughout, the book contains extensive supplemental material, giving greater depth on these subtopics to those who desire it.

With an unprecedented breadth of coverage and a careful balance between rigor and readability, Duration and Bandwidth Limiting is a particularly convenient resource both for mathematicians interested in the field and for professional engineers with an interest in theory. While its main target audience is practicing scientists, the book may also serve as useful supplemental reading material for mathematically-based graduate courses in communications and signal processing.