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020 _a9783030613037
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024 7 _a10.1007/978-3-030-61303-7
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_2bicssc
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245 1 0 _aNumber Theory Meets Wireless Communications
_h[electronic resource] /
_cedited by Victor Beresnevich, Alister Burr, Bobak Nazer, Sanju Velani.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aXIV, 270 p. 28 illus., 16 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
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338 _aonline resource
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347 _atext file
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490 1 _aMathematical Engineering,
_x2192-4740
505 0 _a1 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.
520 _aThis 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.
650 0 _aTelecommunication.
_910437
650 0 _aNumber theory.
_913208
650 0 _aCoding theory.
_94154
650 0 _aInformation theory.
_914256
650 0 _aAlgebra.
_921222
650 1 4 _aCommunications Engineering, Networks.
_931570
650 2 4 _aNumber Theory.
_913208
650 2 4 _aCoding and Information Theory.
_948435
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
_932387
700 1 _aBeresnevich, Victor.
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700 1 _aBurr, Alister.
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700 1 _aNazer, Bobak.
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700 1 _aVelani, Sanju.
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830 0 _aMathematical Engineering,
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856 4 0 _uhttps://doi.org/10.1007/978-3-030-61303-7
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