Non binary LDPC codes over the binary erasure channel: Density evolution analysis
Non binary LDPC codes over the binary erasure channel: Density evolution analysis
复制标题
二进制擦除通道上的非二进制 LDPC 码：密度演化分析
DOI：
10.1109/isabel.2008.4712621
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
V. Savin
中科院分区：
文献类型：
--
作者：
V. Savin
本文对二进制纠错信道中的非二进制LDPC码进行了深入的分析。首先，研究了非二进制LDPC码的译码。该算法在接收到第一个符号后立即开始译码，从而推广了二进制LDPC码的纠删译码。接下来，我们利用密度演化方法对非二进制LDPC码集的渐近性能进行了评估。通过同时考虑二部图的不规则性和图的边标记的概率分布，推导了密度演化方程。最后，给出了一些非二进制LDPC码集在不同边标签分布下的无限长性能。
In this paper we present a thorough analysis of non binary LDPC codes over the binary erasure channel. First, the decoding of non binary LDPC codes is investigated. The proposed algorithm performs ldquoon-the flyrdquo decoding, i.e. it starts decoding as soon as the first symbols are received, which generalizes the erasure decoding of binary LDPC codes. Next, we evaluate the asymptotical performance of ensembles of non binary LDPC codes, by using the density evolution method. Density evolution equations are derived by taking into consideration both the irregularity of the bipartite graph and the probability distribution of the graph edge labels. Finally, infinite-length performance of some ensembles of non binary LDPC codes for different edge label distributions are shown.
DOI：
10.1049/ip-com:20050230
发表时间：
2005-12-01
期刊：
IEE PROCEEDINGS-COMMUNICATIONS
影响因子：
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作者：
Rathi, V;Urbanke, R
通讯作者：
Urbanke, R