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Construction of Check Matrix for B-LDPC and Non-binary LDPC Codes

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Communications, Signal Processing, and Systems (CSPS 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 463))

Abstract

In the high speed data transmission, Low-Density Parity-Check (LDPC) channel coding scheme is widely studied for its near Shannon limit and its good performance in the circumstance of low signal to noise ratio. The LDPC codes have several advantages over the Turbo codes and are one of the hottest topic in today’s coding theory research. Based on the research background, this paper has proposed the method for constructing a Check matrix of Binary LDPC. Secondly, the Tanner graph of B-LDPC is introduced in detail. Finally, The construction of Non-binary LDPC is investigated. Important rules of Non-binary LDPC are put forward. The factors that influence the performance are discussed and it explores the research direction of the next step.

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Acknowledgments

This work was supported by the Heilongjiang Province Natural Science Foundations of China (F2015019, F2015019 and E2016061), the Heilongjiang Province Postdoctoral Science Foundations (LBH-Z16054).

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Authors and Affiliations

  1. Heilongjiang University of Science and Technology, Harbin, 150022, China

    ZhongZhi Lv

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  1. ZhongZhi Lv
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Correspondence to ZhongZhi Lv .

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Editors and Affiliations

  1. Department of Electrical Engineering, University of Texas at Arlington, Arlington, Texas, USA

    Qilian Liang

  2. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Jiasong Mu

  3. Harbin Institute of Technology, Harbin, Heilongjiang, China

    Min Jia

  4. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Wei Wang

  5. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Xuhong Feng

  6. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Baoju Zhang

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Lv, Z. (2019). Construction of Check Matrix for B-LDPC and Non-binary LDPC Codes. In: Liang, Q., Mu, J., Jia, M., Wang, W., Feng, X., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2017. Lecture Notes in Electrical Engineering, vol 463. Springer, Singapore. https://doi.org/10.1007/978-981-10-6571-2_34

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  • DOI: https://doi.org/10.1007/978-981-10-6571-2_34

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6570-5

  • Online ISBN: 978-981-10-6571-2

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