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Algebraic number theory and code design for Rayleigh fading channels

Oggier, F. and Viterbo, E. (2004) Algebraic number theory and code design for Rayleigh fading channels. Foundations and Trends in Communications and Information Theory, 1 (3). pp. 333-415. ISSN 1567-2328. doi:10.1561/0100000003.

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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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Oggier, F.0000-0003-3141-3118
Additional Information:© 2004 F. Oggier and E. Viterbo This work was partly supported by CERCOM and FIRB-PRIMO.
Issue or Number:3
Record Number:CaltechAUTHORS:FOftcit04
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9467
Deposited On:23 Jan 2008
Last Modified:08 Nov 2021 20:59

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