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On the performance of fixed-length spatially coupled LDPC code

Authors: Shuang Chen 0004; Kewu Peng; Huangping Jin; Jian Song 0004;

On the performance of fixed-length spatially coupled LDPC code

Abstract

This paper evaluates the rate loss of fixed-length spatially-coupled low-density parity-check (SC-LDPC) code compared to the asymptotic performance of such code. In previous works, SC-LDPC with sufficient length of codeword shows excellent asymptotic performance and attracts a lot of attentions. However, when the length of codeword is limited, the performance of SC-LDPC code with limited codeword-length is not as well studied as its counterpart with infinite codeword-length. In this paper, the rate loss of a fixed-length SC-LDPC will be analyzed from two aspects: the rate loss due to finite length of the uncoupled code, and the rate loss due to finite length of the coupling chain. Furthermore, through trade-off between the length of the coupling chain and that of the uncoupled code, the rate loss of the SC-LDPC is optimized. The optimization results show that the trend of the rate loss of a length-N SC-LDPC is O(N−1/3) and is different from that of a conventional LDPC code [1], which is O(N−1/2). In other words, for achieving similar performance of a conventional length-N LDPC code, the length of an SC-LDPC code should be increased to O(N3/2).

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
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