Good Encodable Irregular Quasi-Cyclic LDPC Codes

Xiao Yang; Kiseon Kim

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Good Encodable Irregular Quasi-Cyclic LDPC Codes

Xiao Yang 1 * #,Kiseon Kim 2

1.Institute of Information Science, Beijing Jiaotong University

2.Dept. of Information and Communications, Gwangju Institute of Science and Technology

*Correspondence author

#Submitted by

Subject:

Funding: 国家自然科学基金,教育部博士点基金等（No.60572093,20050004016）

Opened online: 4 February 2009

Accepted by: none

Citation: Xiao Yang,Kiseon Kim.Good Encodable Irregular Quasi-Cyclic LDPC Codes[OL]. [ 4 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28370

The existing encodable irregular LDPC codes may have a degraded BER performance when it is derived from classical regular QC LDPC codes since both girth property and weight property are not carefully given attention to two or more thing. Some codes have large girths but they have small minimum weights which lead to a poor BER performance. To solve the problem, we propose a new approach to construct the encodable irregular QC codes, which can not produce new short girths and can keep the large minimum weight and minimum distance of the codes. The theorems of girth 4 and girth 6 are provided to test the girth variance of the obtained irregular QC codes. Simulations verify the construction of the QC LDPC codes to be valid, since better BER performance than that of existing encodable irregular LDPC codes is obtained.

Keywords:Channel coding, circulant matrices, low-density parity-check codes, encodable quasi-cyclic codes

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