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Published June 2000 | public
Book Section - Chapter

AWGN Coding Theorems from Ensemble Weight Enumerators

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.

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.

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023