Wave Theory of Information

Massimo Franceschetti

• Publisher: Cambridge University Press
• Year: 2017
• Print ISBN:
  9781107022317
• eBook ISBN:
  9781108547918
• Topic: Technology & Engineering
• Subtopic: Mobile & Wireless Communications
• Index: Technology & Engineering

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.

Table of contents

• Cover
• Half-title
• Reviews
• Title page
• Copyright information
• About the Cover
• Dedication
• Table of contents
• Preface
• Notation
• 1 Introduction
• 2 Signals
• 3 Functional Approximation
• 4 Electromagnetic Propagation
• 5 Deterministic Representations
• 6 Stochastic Representations
• 7 Communication Technologies
• 8 The Space–Wavenumber Domain
• 9 The Time–Frequency Domain
• 10 Multiple Scattering Theory
• 11 Noise Processes
• 12 Information-Theoretic Quantities
• 13 Universal Entropy Bounds
• Appendix A: Elements of Functional Analysis
• Appendix B: Vector Calculus
• Appendix C: Methods for Asymptotic Evaluation of Integrals
• Appendix D: Stochastic Integration
• Appendix E: Special Functions
• Appendix F: Electromagnetic Spectrum
• Bibliography
• Index