Document Type
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BL
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Record Number
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970346
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Doc. No
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b724716
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Main Entry
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Oggier, Frédérique.
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Title & Author
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Algebraic number theory and code design for Rayleigh fading channels /\ Frédérique Oggier, Emanuele Viterbo.
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Publication Statement
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Hanover, MA :: Now,, ©2004.
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Series Statement
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Foundations and trends in communications and information theory,; v. 1, issue 3
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Page. NO
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1 online resource (vi, 88 pages) :: illustrations
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ISBN
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1933019557
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: 9781933019550
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Bibliographies/Indexes
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Includes bibliographical references.
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Contents
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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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Abstract
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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.
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Subject
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Lattice theory.
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Subject
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Radio-- Transmitters and transmission-- Fading.
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Subject
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Lattice theory.
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Subject
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Radio-- Transmitters and transmission-- Fading.
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Subject
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TECHNOLOGY ENGINEERING-- Mobile Wireless Communications.
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Subject
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TECHNOLOGY ENGINEERING-- Radio.
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Subject
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Lattice theory.
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Subject
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Radio-- Transmitters and transmission-- Fading.
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Subject
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Digital communication.
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Digital communication.
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Digital communication.
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Dewey Classification
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621.3845/6
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LC Classification
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TK5103.7.O44 2004eb
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NLM classification
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TN914. 3clc
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Added Entry
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Viterbo, Emanuele.
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