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AWGN Coding Theorems from Ensemble Weight Enumerators

Divsalar, D. and Dolinar, S. and Jin, H. and McEliece, R. (2000) AWGN Coding Theorems from Ensemble Weight Enumerators. In: 2000 IEEE International Symposium on Information Theory. IEEE , Piscataway, N.J., p. 459. ISBN 0-7803-5858-9. http://resolver.caltech.edu/CaltechAUTHORS:20111128-074933357

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Abstract

We develop AWGN coding theorems for ensembles of codes for which we can calculate, or at least closely estimate, the ensemble weight enumerator. As a rule, for such an ensemble we can find a threshold c such that if E_b/N_0>c, then the ensemble maximum-likelihood error probability approaches zero. This threshold is always better, and usually much better, than can be obtained from the union bound. The role of low-weight code words is the key.


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http://dx.doi.org/10.1109/ISIT.2000.866757DOIUNSPECIFIED
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Additional Information:© 2000 IEEE. Date of Current Version: 06 August 2002. The work of these authors was supported the National Aeronautics and Space Administration. The work of these authors was supported by NSF grant no. CCR-9804793, and grants form Sony and Qualcomm.
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INSPEC Accession Number6794322
Record Number:CaltechAUTHORS:20111128-074933357
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111128-074933357
Official Citation:Divsalar, D.; Dolinar, S.; Jin, H.; McEliece, R.; , "AWGN coding theorems from ensemble weight enumerators," Information Theory, 2000. Proceedings. IEEE International Symposium on , vol., no., pp.459, 2000 doi: 10.1109/ISIT.2000.866757 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=866757&isnumber=18755
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27957
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:28 Nov 2011 16:17
Last Modified:23 Aug 2016 10:07

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