## Number Theory Meets Wireless CommunicationsVictor Beresnevich, Alister Burr, Bobak Nazer, Sanju Velani 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

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 |

### Other editions - View all

Number Theory Meets Wireless Communications Victor Beresnevich,Alister Burr,Bobak Nazer,Sanju Velani No preview available - 2022 |

Number Theory Meets Wireless Communications Victor Beresnevich,Alister Burr,Bobak Nazer,Sanju Velani No preview available - 2021 |