Average Bit Erasure Probability of Regular LDPC Code Ensembles under MAP Decoding over BEC

Authors:
Takayuki Itsui;Kenta Kasai;Ryoji Ikegaya;Tomoharu Shibuya;Kohichi Sakaniwa
Affiliations:
-;-;-;-;-
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2007

Citing 2
Cited 0

On the information function of an error-correcting code

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Extrinsic information transfer functions: model and erasure channel properties

IEEE Transactions on Information Theory

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Abstract

The average bit erasure probability of a binary linear code ensemble under maximum a-posteriori probability (MAP) decoding over binary erasure channel (BEC) can be calculated with the average support weight distribution of the ensemble via the EXIT function and the shortened information function. In this paper, we formulate the relationship between the average bit erasure probability under MAP decoding over BEC and the average support weight distribution for a binary linear code ensemble. Then, we formulate the average support weight distribution and the average bit erasure probability under MAP decoding over BEC for regular LDPC code ensembles.