Foundations and trends in communications and information theory,
Volume Designation
v. 1, issue 3
ISSN of Series
1567-2328 ;
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Abstract -- 1. Introduction -- 2. The communication problem -- 3. Some lattice theory -- 4. The sphere decoder -- 5. First concepts in algebraic number theory -- 6. Ideal lattices -- 7. Rotated Zn lattices codes -- 8. Other applications and conclusions -- References.
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SUMMARY OR ABSTRACT
Text of Note
Algebraic number theory is having an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems. Extended work has been done on single antenna fading channels, and algebraic lattice codes have been proven to be an effective tool. The general framework has been settled in the last ten years and many explicit code constructions based on algebraic number theory are now available. The aim of this work is to provide both an overview on algebraic lattice code designs for Rayleigh fading channels, as well as a tutorial introduction to algebraic number theory. The basic facts of this mathematical field will be illustrated by many examples and by the use of a computer algebra freeware in order to make it more accessible to a large audience.
OTHER EDITION IN ANOTHER MEDIUM
Title
Algebraic number theory and code design for Rayleigh fading channels.
International Standard Book Number
1933019077
TITLE USED AS SUBJECT
Digital communication.
Digital communication.
Digital communication.
TOPICAL NAME USED AS SUBJECT
Lattice theory.
Radio-- Transmitters and transmission-- Fading.
Lattice theory.
Lattice theory.
Radio-- Transmitters and transmission-- Fading.
Radio-- Transmitters and transmission-- Fading.
TECHNOLOGY & ENGINEERING-- Mobile & Wireless Communications.