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The benefit of thresholding in LP decoding of LDPC codes

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3 Author(s)
Feldman, J. ; Dept. of Ind. Eng. & Oper. Res., Columbia Univ., New York, NY ; Koetter, R. ; Vontobel, P.O.

Consider data transmission over a binary-input additive white Gaussian noise channel using a binary low-density parity-check code. We ask the following question: Given a decoder that takes log-likelihood ratios as input, does it help to modify the log-likelihood ratios before decoding? If we use an optimal decoder then it is clear that modifying the log-likelihoods cannot possibly help the decoder's performance, and so the answer is "no." However, for a suboptimal decoder like the linear programming decoder, the answer might be "yes": In this paper we prove that for certain interesting classes of low-density parity-check codes and large enough SNRs, it is advantageous to truncate the log-likelihood ratios before passing them to the linear programming decoder

Published in:

Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on

Date of Conference:

4-9 Sept. 2005