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Number Theory Meets Wireless Communications

  • Book
  • © 2020

Overview

Editors:
  1. Victor Beresnevich

    1. Department of Mathematics, University of York, York, UK

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    You can also search for this editor in PubMed   Google Scholar

  2. Alister Burr

    1. Department of Electronic Engineering, University of York, York, UK

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    You can also search for this editor in PubMed   Google Scholar

  3. Bobak Nazer

    1. Department of Electrical and Computer Engineering, Boston University, Boston, USA

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    You can also search for this editor in PubMed   Google Scholar

  4. Sanju Velani

    1. Department of Mathematics, University of York, York, UK

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  • Written and edited by experts from number theory and communications
  • Breaks down the superficial "language barrier'' between the two disciplines
  • Includes background material as well as recent advances

Part of the book series: Mathematical Engineering (MATHENGIN)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Number Theory Meets Wireless Communications: An Introduction for Dummies Like Us

    • Victor Beresnevich, Sanju Velani
    Pages 1-67

  3. Characterizing the Performance of Wireless Communication Architectures via Basic Diophantine Approximation Bounds

    • Bobak Nazer, Or Ordentlich
    Pages 69-98

  4. On Fast-Decodable Algebraic Space–Time Codes

    • Amaro Barreal, Camilla Hollanti
    Pages 99-141

  5. Random Algebraic Lattices and Codes for Wireless Communications

    • Antonio Campello, Cong Ling
    Pages 143-177

  6. Algebraic Lattice Codes for Linear Fading Channels

    • Roope Vehkalahti, Laura Luzzi
    Pages 179-200

  7. Multilevel Lattices for Compute-and-Forward and Lattice Network Coding

    • Yi Wang, Yu-Chih Huang, Alister G. Burr, Krishna R. Narayanan
    Pages 201-240

  8. Nested Linear/Lattice Codes Revisited

    • Renming Qi, Chen Feng
    Pages 241-270
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About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of York, York, UK

    Victor Beresnevich, Sanju Velani

  • Department of Electronic Engineering, University of York, York, UK

    Alister Burr

  • Department of Electrical and Computer Engineering, Boston University, Boston, USA

    Bobak Nazer

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