Analysis of Non-Binary LDPC Codes in the Application of Sa-tellite Communications
Abstract: In deep space communication system, improving ability of error correction is a key technique. Non-binary LDPC Codes are hotspot and outperform Binary LDPC Codes. Based on application of satellite communications, the universal encoding algorithm based on LU factorization is researched. In order to keep low density of matrix, criteria of row pivot is analyzed. Iterative decoding algorithm is researched. By comparing simulation performance of Non-binary LDPC Codes and Binary LDPC Codes, it shows that Non-binary LDPC Codes are better than Binary LDPC Codes. The result is helpful to application of Non-binary LDPC Codes in satellite communications.
文章引用: 徐欢 , 文磊 , 谢永杰 , 张文明 , 龙建乾 (2013) 多元域LDPC码在卫星通信中的应用研究。 无线通信， 3， 56-59. doi: 10.12677/HJWC.2013.32008
 R. G. Gallager. Low density parity check codes. IRE Transactions on Information Theory, 1962, 8(1): 21-28.
 M. Davey, D. J. C. MacKay. Low density parity check codes over GF(q). IEEE Communications Letters, 1998, 2(6): 165-167.
 A. Marinoni, P. Savazzi. Non-binary LDPC codes with good performance on channels affected by bursty noise, 2008. www.gtti.it/GTTI08/files/SessioneScientifica/marinoni.pdf
 H. Song, J. R. Cruz. Reduced-complexity decoding of q-ary LDPC codes for magnetic recording. IEEE Transactions on Magnetics, 2003, 39(2): 1081-1087.
 S.-E. Park, C. Lim. A class of structured LDPC codes over GF(q) for efficient encoding. IEEE Transactions on Communications, 2007, 6(37): 2218-2222.
 A. Braunstein, F. Kayhan and R. Zecchina. Efficient LDPC codes over GF(q) for lossy data compression. IEEE Transactions on Information Theory, 2009: ar-Xiv:0901.4467.
 B. Zhou, J. Y. Kang, S. M. Song and S. Lin. Construction of non-binary quasi-cyclic LDPC codes by arrays and array dispersions. IEEE Transactions on Communications, 2009, 57(6): 1652- 1662.
 R. M. Neal. Sparse matrics methods and probabilistic inference algorithms, 1999. http://www.cs.utoronto.ca/~radford/
 J. Lei, C. J. Tang and J. H. Wang. An effective algorithm for construction of LDPC codes. Changsha: Proceedings of 2008 IEEE International Conference on Information and Automation, 20-23 June 2008: 1542-1546.