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Wave Theory of Information

$99.99 (P)

  • Date Published: December 2017
  • availability: In stock
  • format: Hardback
  • isbn: 9781107022317

$ 99.99 (P)

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About the Authors
  • Understand the relationship between information theory and the physics of wave propagation with this expert guide. Balancing fundamental theory with engineering applications, it describes the mechanism and limits for the representation and communication of information using electromagnetic waves. Information-theoretic laws relating functional approximation and quantum uncertainty principles to entropy, capacity, mutual information, rate distortion, and degrees of freedom of band-limited radiation are derived and explained. Both stochastic and deterministic approaches are explored, and applications for sensing and signal reconstruction, wireless communication, and networks of multiple transmitters and receivers are reviewed. With end-of-chapter exercises and suggestions for further reading enabling in-depth understanding of key concepts, it is the ideal resource for researchers and graduate students in electrical engineering, physics and applied mathematics looking for a fresh perspective on classical information theory.

    • Relates information-theoretic laws to basic physical principles
    • Covers both theory and applications
    • Includes end-of-chapter exercises and suggestions for further reading
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    Reviews & endorsements

    'This is an excellent textbook that ties together information theory and wave theory in a very insightful and understandable way. It is of great value and highly recommended for students, researchers and practitioners. Professor Franceschetti brings a highly valuable textbook based on many years of teaching and research.' Charles Elachi, California Institute of Technology and Director Emeritus of the Jet Propulsion Laboratory at NASA

    'This book is about the physics of information and communication. It could be considered to be an exposition of Shannon information theory, where information is transmitted via electromagnetic waves. Surely Shannon would approve of it.' Sanjoy K. Mitter, Massachusetts Institute of Technology

    'Communication and information are inherently physical. Most of the literature, however, abstracts out the physics, treating them as mathematical or engineering disciplines. Although abstractions are necessary in the design of systems, much is lost in understanding the fundamental limits and how these disciplines fit together with the underlying physics. Franceschetti breaks the disciplinary boundaries, presenting communication and information as physical phenomena in a coherent, mathematically sophisticated, and lucid manner.' Abbas El Gamal, Stanford University, California

    'This is an ambitious and important book … exceedingly well written, and surprisingly thin, given the amount of material. The mathematics, supplemented by considerable intuitive explanation, is never overwhelming, and should be readily followed by the diligent reader. There are extensive references, and a useful summary at the end of each chapter, along with well-crafted exercises. Unquestionably this book will contribute hugely to [Professor] Franceschetti’s goal: ‘to break through the compartmentalized walls of several disciplines’ … any researcher who purports to work on the advancement of wireless communication theory should take time to study Wave Theory of Information.' Thomas L. Marzetta, IEEE Information Theory Society Newsletter

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    Product details

    • Date Published: December 2017
    • format: Hardback
    • isbn: 9781107022317
    • length: 472 pages
    • dimensions: 253 x 178 x 26 mm
    • weight: 1.09kg
    • contains: 174 b/w illus.
    • availability: In stock
  • Table of Contents

    1. Introduction
    2. Signals
    3. Functional approximation
    4. Electromagnetic propagation
    5. Deterministic representations
    6. Stochastic representations
    7. Communication technologies
    8. The space-wave number domain
    9. The time-frequency domain
    10. Multiple scattering theory
    11. Noise processes
    12. Information-theoretic quantities
    13. Universal information bounds
    Appendix A. Elements of functional analysis
    Appendix B. Vector calculus
    Appendix C. Methods for the asymptotic evaluation of integrals
    Appendix D. Stochastic integration
    Appendix E. Special functions
    Appendix F. Electromagnetic spectrum

  • Author

    Massimo Franceschetti, University of California, San Diego
    Massimo Franceschetti is a Professor in the Department of Electrical and Computer Engineering at the University of California, San Diego, and a Research Affiliate of the California Institute of Telecommunications and Information Technology. He is the co-author of Random Networks for Communication (Cambridge, 2008).

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