Wave Theory of Information

Understand the relationship between information theory and the physics of electromagnetic wave propagation with this expert guide.

Massimo Franceschetti (Author)

9781107022317, Cambridge University Press

Hardback, published 30 November 2017

472 pages, 174 b/w illus.
25.3 x 17.8 x 2.6 cm, 1.09 kg

'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

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.

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
References
Index.

Subject Areas: WAP [wireless technology TJKW], Physics [PH]