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Finite Length Analysis of Low-Density Parity-Check Codes on Impulsive Noise Channels

Lookup NU author(s): Zhen Mei, Dr Martin JohnstonORCiD, Dr Stephane Le Goff, Dr Li Chen



This is the final published version of an article that has been published in its final definitive form by Institute of Electrical and Electronics Engineers Inc., 2016.

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© 2017 IEEE. Low-density parity-check (LDPC) codes with very long block lengths are well known for their powerful error correction, but it is not always desirable to employ long codes in communication systems, where latency is a serious issue, such as voice and video communication between multiple users. Finite length analyses of LDPC codes have already been presented in the literature for the additive white Gaussian noise channel, but in this paper, we consider the finite length analysis of LDPC codes for channels that exhibit impulsive noise. First, an exact uncoded bit error probability (BEP) of an impulsive noise channel, modeled as a symmetric α-stable (SαS) distribution, is derived. Then, to obtain the LDPC-coded performance, density evolution is applied to evaluate the asymptotic performance of LDPC codes on SαS channels and determine the threshold signal-to-noise ratio. Finally, we derive closed-form expressions for the BEP and block error probability of short LDPC codes on these channels, which are shown to match closely with simulated results on channels with different levels of impulsiveness, even for block lengths as low as 1000 b.

Publication metadata

Author(s): Mei Z, Johnston M, Le Goff S, Chen L

Publication type: Article

Publication status: Published

Journal: IEEE Access

Year: 2016

Volume: 4

Pages: 9635-9642

Online publication date: 09/01/2017

Acceptance date: 21/12/2016

Date deposited: 03/05/2017

ISSN (print): 2169-3536

Publisher: Institute of Electrical and Electronics Engineers Inc.


DOI: 10.1109/ACCESS.2017.2649571


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