Construction of low density parity check codes: a combinatoric design approach

Ammar, Bassem; Honary, Bahram; Kou, Yu; Lin, Shupeng

doi:10.1109/isit.2002.1023583

Cited by 15 publications

(3 citation statements)

References 5 publications

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“…The algebraic-based methods for constructing LDPC codes have been developed using mathematical tools such as finite geometries [39], finite fields [40], and combinatorial designs [41,42]. In general, Algebraic LDPC codes have much lower error-floors than randomly constructed LDPC codes.…”

Section: The Construction Of Rc-nb-ldpc Codesmentioning

confidence: 99%

Adaptive Rate-Compatible Non-Binary LDPC Coding Scheme for the B5G Mobile System

Zhao

Tian

Xue

2019

Sensors

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This paper studies an adaptive coding scheme for B5G (beyond 5th generation) mobile system-enhanced transmission technology. Different from the existing works, the authors develop a class of rate-compatible, non-binary, low-density parity check (RC-NB-LDPC) codes, which expresses the strong connection between the algebra-based and graph-theoretic-based constructions. The constructed codes can not only express rate-compatible (RC) features, but also possess a quasi-cyclic (QC) structure that facilitates the encoding implementation. Further, in order to achieve the code rate-adaptive allocation scheme, the authors propose using the K-means++ clustering algorithm to cluster different channel environments, considering various factors that affect channel characteristics. Finally, in order to present the advantages of the adaptive coding scheme, the authors construct a coding scheme for image transmission. The numerical results demonstrate that the developed code can obtain better waterfall performance in a larger code rate range, which is more suitable for data transmission; the adaptive coding transmission scheme can obtain higher reconstructed image quality compared to the fixed code rate-coding scheme. Moreover, when considering unequal error protection (UEP), the proposed scheme can further improve the reconstructed image quality.

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Section: The Construction Of Rc-nb-ldpc Codesmentioning

confidence: 99%

Adaptive Rate-Compatible Non-Binary LDPC Coding Scheme for the B5G Mobile System

Zhao

Tian

Xue

2019

Sensors

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“…The structured structure because it has good structural characteristics, and thus more convenient hardware implementation. The common structural methods are finite geometrical method [Kou, Lin and Fossorier (2001)], cyclic permutation matrix method [Fossorier (2004)] and combinatorial construction [Ammar, Honary, Kou et al (2002)], etc., they usually have good cycle and quasi-cyclic characteristics, can be used to achieve a simple feedback shift register coding, which is very suitable for wireless sensor networks such as hardware configuration of the lower network.…”

Section: Ldpc Codes' Constructionmentioning

confidence: 99%

LDPC Code’s Decoding Algorithms for Wireless Sensor Network: a Brief Review

Fang¹,

Zhang²,

Shan³

et al. 2019

Journal of New Media

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As an effective error correction technology, the Low Density Parity Check Code (LDPC) has been researched and applied by many scholars. Meanwhile, LDPC codes have some prominent performances, which involves close to the Shannon limit, achieving a higher bit rate and a fast decoding. However, whether these excellent characteristics are suitable for the resource-constrained Wireless Sensor Network (WSN), it seems to be seldom concerned. In this article, we review the LDPC code's structure brief.ly, and them classify and summarize the LDPC codes' construction and decoding algorithms, finally, analyze the applications of LDPC code for WSN. We believe that our contributions will be able to facilitate the application of LDPC code in WSN.

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“…In the case of regular codes a number of algebraic construction have been presented [2], [7], [8]. Less consideration has been given to structured irregular codes.…”

Section: Introductionmentioning

confidence: 99%