Wave Theory of Information 1st Edition by Massimo Franceschetti (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐When I was studying for my Master’s Degree at MIT, I took courses both on electromagnetics and on communication theory. This was different from many of my comrades, who concentrated on one or the other. I was trying to meld the ideas behind both in my mind. I was far from the best student, and I did not succeed in this melding. This book claims to do what I could not; combine communication as described by Shannon’s theory of information, and the propagation of electromagnetic waves as described by Maxwell’s theory of electromagnetism. The book claims to show that Shannon’s information-theoretic limits are expressions of the laws of physics.I am not aware of any other literature which combines these. They are treated individually in numerous sources. As I wrote above, I was far from the best graduate student at MIT. I can read this book and understand somewhat the topics being discussed. I am not a capable of determining if the results are valid are not. I would leave that to those who possessed the same wisdom as my professors.If its results are valid, I would say this is a very important book. Just as Maxwell’s A Treatise of Electricity & Magnetism combined results from Faraday, Ampere, etc. into a single coherent theory, this book combines results from Maxwell, Shannon, Einstein, and the quantum mechanics into a coherent theory. The comparison to Maxwell’s work is not a happenstance nor is it done lightly. From my narrow view of the subject matter itself and what has previously been done in these areas; I would put this book at the same level of importance as Maxwell’s. I would leave it to those with more wisdom than me to determine if this commendation is justified. If so: Wow!

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