Number Theory Meets Wireless Communications

1. Auflage 2020
ISBN: 978-3-030-61305-1
Verlag: Springer International Publishing

Buch, Englisch, 270 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 435 g

Reihe: Mathematical Engineering

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.

Zielgruppe

Research

Autoren/Hrsg.

Beresnevich, Victor

Velani, Sanju

Burr, Alister

Nazer, Bobak

Fachgebiete

• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Drahtlostechnologie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

1 Number Theory Meets Wireless Communications: an introduction for dummies like us.- 2 Characterizing the Performance of Wireless Communication Architectures via Basic Diophantine Approximation Bounds.- 3 On Fast-Decodable Algebraic Space-Time Codes.- 4 Random Algebraic Lattices and Codes for Wireless Communications.- 5 Algebraic Lattice Codes for Linear Fading Channels.- 6 Multilevel Lattices for Compute-and-Forward and Lattice Network Coding.- 7 Nested Linear/Lattice Codes Revisited