Min-Max decoding for non binary LDPC codes-猫眼课题宝

DOI：

10.2991/icmmita-16.2016.273

发表时间：

2016

期刊：

影响因子：

通讯作者：

中科院分区：

其他

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作者：

Danfeng Zhao;Jiahui Meng;Hai Tian

随着人们对光纤通信系统的需求增加，为了确保快速有效的光纤通信，人们必须使用LDPC代码来实施校正调制-Binary LDPC代码纠正突然错误和随机误差变得更强烈，并且与高级调制相对应，适用于具有超速的光传输系统长途-Max非二进制LDPC代码算法，简化了非二进制LDPC代码的计算，并可以有效地促进误差校正中的通信。 LDPC普遍研究的决策技术具有出色的错误校正能力；基于高斯白噪声通道和带有不规则代码的瑞利褪色通道的最佳程度具有LDPC代码的非二进制LDPC代码，其突然误差校正和随机误差校正的能力更强，并且更适合高阶调制，因此它适用于具有超级速度和长距离的光传输系统中。由Generation Matrix g或Parity Check矩阵H确定，因此它可以通过奇偶校验检查矩阵H。h的h。h。 2行是相同的，1剂量的数量不超过1，从这些本质中，P，T和代码长度和H之间的比较很小。线重量p和平行重量r，任何2条线具有超过相同位置，1的密度很小，因此称为均衡检查矩阵，其密度低，细节由下图1：图1：图1指示奇偶校验检查矩阵低= LDPC的密度除外，除了使用Check Matrix表达LDPC代码，它还可以使用双向图模型到第四届国际机械，材料和信息技术的国际会议应用程序（ICMMITA 2016）版权所有©2017，作者由Atlantis出版社出版在计算机科学研究中，第71卷

with the increase in requirements on fiber-optical communication system by people, transmission quantity has been increased. In order to guarantee quick and effective fiber-optical communication, people have to use LDPC codes to implement correction modulation, of which, the ability of non-binary LDPC codes to correct abrupt error and random error become more stronger, and it is corresponds with high-order modulation, it is suitable to be used in optical transmission system with super speed and long distance, so it has become to the key point researched by people. This paper starts from non-binary LDPC codes to analyze the principle application of correcting matrix and Tanner diagram, it also illustrates coding and decoding of LDCP codes and puts forward Min-Max non binary LDPC codes algorithm, which simplifies calculation of non binary LDPC codes and can effectively promote enhancement of communication in error correction. Introduction As the soft decision technology universally researched by people, LDPC has excellent ability in error correction; error level is low and can be concurrently realized. Meanwhile, research on binary LDPC codes is relatively mature, including binary LDPC codes and decoding algorithm, capacity analysis method, search algorithm of optimal degree based on Gaussian white noise channel and Rayleigh fading channel with irregular code. However, compare non-binary LDPC code with LDPC codes, its ability in abrupt error correction and random error correction is stronger, and it is more suitable with high-order modulation, so it is suitable to be used in optical transmission system with super speed and long distance. Overview on non-binary LDPC codes LDPC codes was put forward by Gallager in 1960, it is the linear block code, ix represents better capacity in data transmission and data storage, it is exclusively determined by generation matrix G or parity check matrix H, so it can define LDPC codes by parity check matrix H. Of which, H has 4 natures, which means each line has p 1, each kind has r and 1, the position between any 2 lines is the same and the number of valuing 1 dose not exceed 1, the line number comparison between p, t as well as code length and H is very small. From these natures we can see that parity check matrix and H respectively has special line weight p and parallel weight r, and any 2 lines have 1 exceed the same position, the density of 1 is very small, so it is called as parity check matrix with low density, the details are indicated by the following figure 1: Figure 1 Parity check matrix with low=density of LDPC Except to use check matrix to express LDPC codes, it can also use bidirectional graph model to 4th International Conference on Machinery, Materials and Information Technology Applications (ICMMITA 2016) Copyright © 2017, the Authors. Published by Atlantis Press. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/). Advances in Computer Science Research, volume 71

Min-Max decoding for non binary LDPC codes

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