半双工中继信道下联合LDPC码设计

doi:10.3969/j.issn.1000-436x.2013.03.017

通信学报 ›› 2013, Vol. 34 ›› Issue (3): 134-140.doi: 10.3969/j.issn.1000-436x.2013.03.017

半双工中继信道下联合LDPC码设计

陈紫强¹,欧阳缮^1,²,肖海林²,谢跃雷²

¹ 西安电子科技大学电子工程学院，陕西西安 710071
² 桂林电子科技大学信息与通信学院，广西桂林541004

出版日期:2013-03-25 发布日期:2017-07-20
基金资助:
国家重点基础研究发展计划（“973”计划）基金资助项目;国家自然科学基金资助项目;国家自然科学基金资助项目;国家自然科学基金资助项目;广西省自然科学重点基金资助项目;广西省自然科学基金资助项目;广西省自然科学基金资助项目;广西无线宽带通信与信号处理重点实验室2011年度主任基金资助项目;广西无线宽带通信与信号处理重点实验室2011年度主任基金资助项目

Jointed LDPC codes design for half-duplex relay channels

Zi-qiang CHEN¹,Shan OUYANG^1,²,Hai-lin XIAO²,Yue-lei XIE²

¹ School of Electronic Engineering, Xidian University, X n 710071, China
² School of Information and Communication, Guilin University of Electro ic Technology, Guilin 541004, China

Online:2013-03-25 Published:2017-07-20
Supported by:
The National Basic Research Program of China(973 Program);The National Natural Science Foun-dation of China;The National Natural Science Foun-dation of China;The National Natural Science Foun-dation of China;The Natural Science Key Foundation of Guangxi Province;The Natural Science Foundation of Guangxi Province;The Natural Science Foundation of Guangxi Province;The Key Director Laboratory Fund of Guangxi Broadband Wireless Communication and Signal of 2011;The Key Director Laboratory Fund of Guangxi Broadband Wireless Communication and Signal of 2011

摘要/Abstract

摘要：

为了提高解码前传半双工中继通信系统的编码增益，提出了一种联合LDPC码编码结构及其度分布优化方法。该结构视信源和中继子码为联合LDPC码的一部分，目的端根据从信源和中继接收的消息进行联合译码，同时获得信源和中继的信息。为了分析联合LDPC码的渐进性能，推导了AWGN信道下联合LDPC码的高斯近似密度进化算法。结合译码收敛条件和度分布约束关系，提出联合LDPC码的度分布优化问题。仿真结果表明：联合LDPC码的渐进性能及误码性能优于BE-LDPC码和独立处理（SP）码。

关键词: 低密度奇偶校验码, 解码前传, 中继信道, 密度进化

Abstract:

In order to increase the coding gain of decode-and-forward half-duplex relay channel, a jointed LDPC coding structure and its corresponding optimization scheme was proposed. Novel structure made the subcodes of both source and relay nodes as parts of the overall code. Using the messages from the source and the relay, the destination could decode the information of the source and relay nodes simultaneously. To analyze the asymptotic coding gain of jointed LDPC codes, the iterative decoding convergence condition was derived in AWGN channel. Combining the iterative decoding convergence condition and the degree distribution constraint, the optimization problem of the jointed LDPC code degree distribution was presented. The simulation results show that jointed LDPC codes outperform both BE-LDPC codes and SP codes.

Key words: LDPC codes, decode-and-forward, relay channel, density evolution

陈紫强,欧阳缮,肖海林,谢跃雷. 半双工中继信道下联合LDPC码设计[J]. 通信学报, 2013, 34(3): 134-140.

Zi-qiang CHEN,Shan OUYANG,Hai-lin XIAO,Yue-lei XIE. Jointed LDPC codes design for half-duplex relay channels[J]. Journal on Communications, 2013, 34(3): 134-140.

图/表 6

图1

表1

表2

JLDPC码（码C和码D）"

码字参数					码字参数的取值
		码C				码D
	i的取值	l_i0	l_i1	l_i2	l_i3	l_i0	l_i1	l_i2	l_i3
	i=0	0	0	0.028 29	0.001 198	0	0	0.123 36	0.002 41
	i=2	0.128 08	0.008 226	0.011 025	0.025 028	0.058 39	0.006 04	0.005 22	0.126 35
l_{i j}	i=3	0.122 36	0.068 772	0.002 226	0.004 321	0.056 46	0.002 62	0.000 38	0.157 78
	i=6	0.011 431	0.037 589	0.000 262	0.045 34	0.013 97	0.003 53	0.000 46	0.060 12
	i=7	0.125 42	0.004 258	0.000 03	0.001 790	0.050 14	0.038 80	0.010 38	0.012 75
	i=19	0.000 125	0.000 05	0.000 295	0.062 456	0.037 67	0.000 41	0.001 55	0.003 12
	i=20	0.000 105	0.001 417	0.000 330	0.309 57	0.049 80	0.042 70	0.041 71	0.093 88
${\bar{d}}_{c_{1}}$ ${\bar{d}}_{c_{1}}$			15,9.876 9				15,5.380 7
h(R₁,R₂)			0.856 35（0.7,0.638 5）				0.663 8 (0.7,0.477 3)
G ap₁,G ap₂			0.084 78,0.110 6				0.084 78,0.303 3

表2

表3

JLDPC码（码E和码F）"

码字参数					码字参数的取值
		码E					码F
	i的取值	l_i0	l_i1	l_i2	l_i3	l_i0	l_i1	l_i2	l_i3
	i=0	0	0	0.132 34	0.180 93	0	0	0.221 5	0.026 579
	i=2	0.092 299	0.000 804	0.012 413	0.012 737	0.049 654	0.002 999	0.003 246	0.113 01
l_{i j}	i=3	0.031 406	0.099 618	0.018 24	0.013 742	0.048 289	0.010 549	0.002 509	0.118 99
	i=6	0.014 561	0.033 1	0.009 477	0.002 547	0.010 884	0.005 957	0.001 297	0.047 948
	i=7	0.037 223	0.039 93	0.017 848	0.007 219	0.043 398	0.001 008	0.000 658	0.059 079
	i=19	0.021 232	0.002 581	0.003 710	0.012 668	0.016 807	0.001 373	0.010 832	0.009 270
	i=20	0.077 04	0.011 041	0.036 444	0.078 851	0.069 901	0.011 091	0.002 355	0.110 82
${\bar{d}}_{c_{1}}$ ${\bar{d}}_{c_{2}}$			15,30.936				15, 6.835 7
h(R₁, ${\overset{⌢}{R}}_{2}$ )			0.598 14 (0.7,0.789 5)				0.565 65(0.7,0.590 6)
G ap₁,G ap₂			0.084 78,0.126 3				0.084 78,0.309 0

表3

图2

图3

参考文献 15

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使用方法	码A/dB	码B/dB
本文分析方法	2.125 8	0.132 6
BDE分析方法	2.050 2	0.094 8

半双工中继信道下联合LDPC码设计

Jointed LDPC codes design for half-duplex relay channels

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