Spatially-Coupled Binary MacKay-Neal Codes for Channels with Non-Binary Inputs and Affine Subspace Outputs

Details Spatially-Coupled Binary MacKay-Neal Codes for Channels with Non-Binary Inputs and Affine Subspace Outputs Spatially-Coupled Binary MacKay-Neal Codes for Channels with Non-Binary Inputs and Affine Subspace Outputs

2012-02-05

arxiv.org/abs/1202.0979v1

Computer Science

Information Theory

Scientific paper

We study LDPC codes for the channel with $2^m$-ary input $\underline{x}\in \GF(2)^m$ and output $\underline{y}=\underline{x}+\underline{z}\in \GF(2)^m$. The receiver knows a subspace $V\subset \GF(2)^m$ from which $\underline{z}=\underline{y}-\underline{x}$ is uniformly chosen. Or equivalently, the receiver receives an affine subspace $\underline{y}-V$ where $\underline{x}$ lies. We consider a joint iterative decoder involving the channel detector and the LDPC decoder. The decoding system considered in this paper can be viewed as a simplified model of the joint iterative decoder over non-binary modulated signal inputs e.g., $2^m$-QAM. We evaluate the performance of binary spatially-coupled MacKay-Neal code by density evolution. EXIT-like function curve calculations reveal that iterative decoding threshold values are very close to the Shannon limit.

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