非正交多址中继系统复数域网络编码优化设计

doi:10.3969/j.issn.1000-436x.2012.11.009

通信学报 ›› 2012, Vol. 33 ›› Issue (11): 67-73.doi: 10.3969/j.issn.1000-436x.2012.11.009

非正交多址中继系统复数域网络编码优化设计

蔡曦,范平志,陈庆春

西南交通大学信息编码与传输省重点实验室，四川成都 610031

出版日期:2012-11-25 发布日期:2017-07-25
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

Optimized design of complex field network coding scheme in non-orthogonal multiple access relay system

Xi CAI,Ping-zhi FAN,Qing-chun CHEN

Key Lab of Information Coding ＆ Transmission,Southwest Jiaotong University,Chengdu 610031,China

Online:2012-11-25 Published:2017-07-25
Supported by:
The National Basic Research Program of China(973 Program);The National Natural Science Foundation of China;The National Natural Science Foundation of China

摘要/Abstract

摘要：

无线中继与网络编码是提高通信系统数据可靠性和吞吐率的重要技术手段，重点研究了单中继非正交多址系统复数域网络编码的优化设计问题。首先，在限制源节点和中继节点的总发送功率并假设各个源节点发送功率相同的条件下，证明了当源节点与中继节点发送功率相等时基于复数域网络编码的单中继非正交多址系统误符号率（SEP）性能最佳。其次，以编码增益为目标函数，提出了一种复数域网络编码的优化设计方法。与已有的复数域网络编码系数设计方法相比，此方法能满足任意源节点个数条件下复数域网络编码系数的优化设计要求，同时可以有效地避免因为网络编码系数选择不当造成信号重叠的现象，提升和改进系统的SEP性能。

关键词: 非正交多址中继网络, 复数域网络编码, 最优功率分配, 最优编码系数

Abstract:

Wireless relay and network coding are two fundamental techniques to enhance the throughput of wireless communication system.The optimized design of complex field network coding scheme in non-orthogonal multiple access single relay system was addressed.Firstly,given the total transmitting power at all source nodes (equal transmitting power at every source node was assumed) and the relay node,the system might achieve the minimal symbol error probability (SEP) when the total transmitting power were equally allocated to all source nodes and relay node.Secondly,the choice of the complex field network coding coefficients plays an important role in the achieved SEP for the non-orthogonal multiple access single relay system was disclosed,and the optimized coding coefficient design in terms of the maximal coding gain were presented for arbitrary number of source nodes.It was shown that,the similarity of network coded signal of multiple source signals could be effectively avoided by using the optimized coding coefficient,which accounted for the realized performance improvement in the non-orthogonal multiple access single relay system.

Key words: non-orthogonal multiple access relay, complex field network coding, optimal power allocation, optimal coding coefficient

蔡曦,范平志,陈庆春. 非正交多址中继系统复数域网络编码优化设计[J]. 通信学报, 2012, 33(11): 67-73.

Xi CAI,Ping-zhi FAN,Qing-chun CHEN. Optimized design of complex field network coding scheme in non-orthogonal multiple access relay system[J]. Journal on Communications, 2012, 33(11): 67-73.

图/表 6

图1

表1

不同源节点个数和不同调制方式的因子大小"

情况	源节点个数	调制方式	$\| A_{x} \|$	$d_{\min}^{D_{1}}$	$d_{\min}^{D_{2}}$ ^[7]
1	2	BPSK	4	$2 \sqrt{E_{b}^{S}}$	$\sqrt{2.3432 E_{b}^{R}}$
2	3	BPSK	8	$2 \sqrt{E_{b}^{S}}$	$\sqrt{1.0718 E_{b}^{R}}$
3	4	BPSK	16	$2 \sqrt{E_{b}^{S}}$	$\sqrt{0.2202 E_{b}^{R}}$
5	2	QPSK	16	$2 \sqrt{E_{b}^{S}}$	$\sqrt{0.6863 E_{b}^{R}}$
6	3	QPSK	256	$2 \sqrt{E_{b}^{S}}$	近似为0
7	4	QPSK	4096	$2 \sqrt{E_{b}^{S}}$	$\sqrt{0.0272 E_{b}^{R}}$
8	2	16QAM	256	$2 \sqrt{E_{b}^{S}}$	$\sqrt{0.0417 E_{b}^{R}}$

表1

图2

表2

复数域网络编码系数"

源节点数目	调制方式	网络编码系数	$d_{\min}^{D_{2}}$
2	BPSK	1,i]	$2 \sqrt{E_{b}^{R}}$
3	BPSK	1,0.809 0+0.587 8i,-0.809 0+0.587 8i]	$\sqrt{1.5279 E_{b}^{R}}$
4	BPSK	1,0.866 0+0.500 0i,i,0.500 0-0.866 0i]	$\sqrt{1.0717 E_{b}^{R}}$
5	BPSK	1,0.907 8+0.419 3i,-0.889 4+0.457 2i,0.707 1+0.707 1i,-0.649 4+0.760 4i]	$\sqrt{0.4924 E_{b}^{R}}$
2	QPSK	1,0.500 0-0.866 0i]	$\sqrt{1.0717 E_{b}^{R}}$
3	QPSK	1,0.953 7+0.300 7i,0.300 7+0.953 7i]	$\sqrt{0.3703 E_{b}^{R}}$
4	QPSK	1,0.989 2+0.146 6i,0.956 6+0.291 4i,-0.819 2-0.573 6i]	$\sqrt{0.0864 E_{b}^{R}}$

表2

图3

图4

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非正交多址中继系统复数域网络编码优化设计

Optimized design of complex field network coding scheme in non-orthogonal multiple access relay system

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