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The Q-matrix Low-Density Parity-Check codes

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Journal of Electronics (China)

Abstract

This paper presents a matrix permuting approach to the construction of Low-Density Parity-Check (LDPC) code. It investigates the structure of the sparse parity-check matrix defined by Gallager. It is discovered that the problem of constructing the sparse parity-check matrix requires an algorithm that is efficient in search environments and also is able to work with constraint satisfaction problem. The definition of Q-matrix is given, and it is found that the queen algorithm enables to search the Q-matrix. With properly permuting Q-matrix as sub-matrix, the sparse parity-check matrix which satisfied constraint condition is created, and the good regular-LDPC code that is called the Q-matrix LDPC code is generated. The result of this paper is significant not only for designing low complexity encoder, improving performance and reducing complexity of iterative decoding arithmetic, but also for building practical system of encodable and decodable LDPC code.

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Authors and Affiliations

  1. Dept of Electron. & Info. Eng., Huazhong University. of Sci. & Tech., Wuhan, 430074, China

    Peng Li (female, Doctor candidate) & Zhu Guangxi

Authors
  1. Peng Li
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  2. Zhu Guangxi
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Corresponding author

Correspondence to Peng Li.

Additional information

Supported by the National Natural Science Foundation of China (No.60572050) and by the National Science Foundation of Hubei Province (No.2004ABA049).

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Cite this article

Peng, L., Zhu, G. The Q-matrix Low-Density Parity-Check codes. J. of Electron.(China) 23, 35–38 (2006). https://doi.org/10.1007/s11767-004-0052-z

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  • DOI: https://doi.org/10.1007/s11767-004-0052-z

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