2010
DOI: 10.1109/tcomm.2010.101210.080614
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On the UEP Capabilities of Several LDPC Construction Algorithms

Abstract: This paper analyzes construction algorithms for low-density parity-check (LDPC) codes with respect to their unequal error protection (UEP) capabilities. We show that the choice of code construction algorithm highly affects the performance and UEP properties of LDPC codes with identical degree distributions. Our results provide an explanation to disagreements in earlier research.

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Cited by 12 publications
(15 citation statements)
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References 14 publications
(18 reference statements)
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“…It is widely believed that an irregular variable node degree distribution is the only requirement to provide UEP, see for example [29,30]. Surprisingly, we found that constructing parity-check matrices using these different algorithms, based on the same degree distribution pair, results in codes with very different UEP capabilities: The random and the ACE algorithms result in codes which are UEP-capable, whereas the PEG and the PEG-ACE algorithms result in codes that do not provide any UEP [36].…”
Section: Necessary Degree Distribution Properties Of Uep-ldpc Codesmentioning
confidence: 84%
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“…It is widely believed that an irregular variable node degree distribution is the only requirement to provide UEP, see for example [29,30]. Surprisingly, we found that constructing parity-check matrices using these different algorithms, based on the same degree distribution pair, results in codes with very different UEP capabilities: The random and the ACE algorithms result in codes which are UEP-capable, whereas the PEG and the PEG-ACE algorithms result in codes that do not provide any UEP [36].…”
Section: Necessary Degree Distribution Properties Of Uep-ldpc Codesmentioning
confidence: 84%
“…In the case of the ACE code, the number of edges to different protection classes vary much more and there are many different types of check-nodes. Based on this detailed check-node degree distribution, one may perform a detailed mutual information evolution of the messages over the decoding iterations [36]. Figure 7 shows the mutual information of messages going from check-nodes to variable nodes of different protection classes (denoted by I appc ) as a function of the number of iterations for an ACE code and a PEG-ACE code.…”
Section: Necessary Degree Distribution Properties Of Uep-ldpc Codesmentioning
confidence: 99%
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“…As in [4], for UEP LDPC codes we divide the codeword bits into three protection classes: the first class (C 1 ) contains k 1 information bits which are the most protected ones against the noise, the second class (C 2 ) contains k 2 = k − k 1 information bits that are less protected against the noise than those in C 1 , and the last class (C 3 ) contains the r redundancy bits. As shown in [4], the UEP capabilities can be increased by reducing the number of edges shared by nodes belonging to different protection classes. Our solution indeed aims at improving the performance over C 1 by reserving some check nodes (i.e., redundancy bits) to its variable nodes (i.e., information bits).…”
Section: Notation and Definitionsmentioning
confidence: 99%
“…However, our results show that for a reasonable number of iterations the UEP capability is not affected much by the number of decoder iterations. It has been shown that the choice of code construction algorithm is critical for remaining UEP capability after a reasonable number of iterations, [31]. Figure 8 in Section IV shows the BER as a function of the number of decoder iterations for the code design and code construction algorithm suggested in this paper.…”
Section: A Optimization Of the Degree Distribution For Hocsmentioning
confidence: 99%