Number Theory Meets Wireless Communications

Front Cover
Victor Beresnevich, Alister Burr, Bobak Nazer, Sanju Velani
Springer Nature, Jan 8, 2021 - Technology & Engineering - 270 pages
This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research.

The contributions of this volume stem from the Workshop on Interactions between Number Theory and Wireless Communication held at the University of York in 2016. The chapters, written by leading experts in their respective fields, provide direct overviews of highly exciting current research developments. The topics discussed include metric Diophantine approximation, geometry of numbers, homogeneous dynamics, algebraic lattices and codes, network and channel coding, and interference alignment.

The book is edited by experts working in number theory and communication theory. It thus provides unique insight into key concepts, cutting-edge results, and modern techniques that play an essential role in contemporary research. Great effort has been made to present the material in a manner that is accessible to new researchers, including PhD students. The book will also be essential reading for established researchers working in number theory or wireless communications looking to broaden their outlook and contribute to this emerging interdisciplinary area.

 

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Contents

An Introduction for Dummies Like Us
1
2 Characterizing the Performance of Wireless Communication Architectures via Basic Diophantine Approximation Bounds
68
3 On FastDecodable Algebraic SpaceTime Codes
99
4 Random Algebraic Lattices and Codes for WirelessCommunications
143
5 Algebraic Lattice Codes for Linear Fading Channels
178
6 Multilevel Lattices for ComputeandForward and Lattice Network Coding
201
7 Nested LinearLattice Codes Revisited
241
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