多用户Z高斯干扰信道可达速率

doi:10.13190/j.jbupt.2016-155

北京邮电大学学报 ›› 2017, Vol. 40 ›› Issue (5): 110-116.doi: 10.13190/j.jbupt.2016-155

多用户Z高斯干扰信道可达速率

童艳春¹, 张博^1,2, 袁芳文²

1. 周口师范学院, 河南周口 466001;
2. 河南机电职业学院, 郑州 451191

收稿日期:2016-09-16 出版日期:2017-10-28 发布日期:2017-11-21
作者简介:童艳春(1981-),女,讲师;张博(1982-),男,博士生,E-mail:zhangbo@zknu.edu.cn.
基金资助:
国家自然科学基金项目（U1504601，61300035）；周口师范学院教育教学改革研究资助项目（J2016015）；河南省科技攻关资助项目（162102310604，172102310123）

Achievable Rate of Multi-user Gaussian Z Interference Channel

TONG Yan-chun¹, ZHANG Bo^1,2, YUAN Wen-fang²

1. Zhoukou Normal University, Henan Zhoukou 460001, China;
2. Henan Mechanical and Electrical Vocational College, Zhengzhou 451191, China

Received:2016-09-16 Online:2017-10-28 Published:2017-11-21

摘要/Abstract

摘要： 为了进一步研究Han-Kobayashi （HK）传输策略在多用户Z高斯干扰信道上的性能，在中等弱干扰条件下构造了多用户Z高斯干扰信道可达速率内、外界.通过将信息分割为公有信息和私有信息，优化每个用户的公有信息和私有信息之间的比例，得出一条多用户Z高斯干扰信道速率R_HK；通过增加级联Z高斯干扰信道的约束条件得出了一条小于R_HK的速率內界；利用精灵辅助方案，得出了大于R_HK的两条速率外界.通过计算速率内、外界之差得出：在中等干扰下，利用HK策略所得到的速率距离信道容量小于1 bit·s^-1·Hz^-1；在弱干扰下，随着总用户数量的增加，利用HK策略所得到的速率R_HK与信道容量之间距离逐渐逼近1 bit·s^-1·Hz^-1.

关键词: 传输策略, 速率分裂, 高斯干扰信道, 信道容量, 精灵辅助

Abstract: In order to further study the communication scheme of Han-Kobayashi (HK) on cascade Gaussian Z interference channel, a method of one inner bound and two outer bounds was proposed under weak and medium interference. In the scheme, as the transmitted information of both users split into common information and private information, a achieve rate R_HK is obtained by optimizing the ratio between common and private information. An inner bound is proposed by adding a constraint on this channel which is less than R_HK. Based on two genie-aided programs of two-user interference channel, two outer bounds were proposed by genie-aided which great than R_HK. By analyzing the distance between the inner bound and outer bounds, HK type scheme can be achieved within a single bit per second per hertz (bit·s^-1·Hz^-1) of the capacity under medium interference and approach to a single bit per second per hertz (bit·s^-1·Hz^-1) of the capacity under weak interference as total number increasing.

Key words: communication scheme, rate-splitting, Gaussian interference channel, channel capacity, genie-aided

中图分类号:

TN911.22

童艳春, 张博, 袁芳文. 多用户Z高斯干扰信道可达速率[J]. 北京邮电大学学报, 2017, 40(5): 110-116.

TONG Yan-chun, ZHANG Bo, YUAN Wen-fang. Achievable Rate of Multi-user Gaussian Z Interference Channel[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2017, 40(5): 110-116.

参考文献

[1] Avestimehr A S, El Gamal H, Jafar S A, et al. Introduction to the special issue on interference networks[J]. IEEE Transactions on Information Theory, 2011, 57(5):2545-2547.
[2] Shannon C E. Two-way communication channels[C]//Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability. Berkeley:IEEE Press, 1961:611-644.
[3] Han T, Kobayashi K. A new achievable rate region for the interference channel[J]. IEEE Transactions on Information Theory, 1981, 27(1):49-60.
[4] Sanson I. On achievable rate regions for the Gaussian interference channels[J]. IEEE Transactions on Information Theory, 2004, 50(6):1345-1356.
[5] Mohanty K, Varanasi M K. Degrees of freedom of the MIMO Z-interference channel with delayed CSIT[J]. IEEE Communications Letters, 2015, 19(12):2282-2285.
[6] Patel A, Reategui F, Imran M A, et al. On bounds for the cognitive multiple access Z-interference channel[C]//IEEE 14^th Canadian Workshop on Information Theory (CWIT). St. John's, NL, Canada:IEEE Press, 2015:46-49.
[7] Mohanty K, Varanasi M K. Degrees of freedom region of the MIMO Z-interference channel with mixed CSIT[J]. IEEE Communications Letters, 2016, 20(12):2422-2425.
[8] Shang Xiaohu. Partial capacity boundary of parallel Gaussian Z interference channels[C]//IEEE International Symposium on Information Theory (ISIT). Hong Kong, China:IEEE Press, 2015:206-210.
[9] Costa M H M. A third critical point in the achievable region of the Z-Gaussian interference channel[C]//Information Theory and Applications Workshop (ITA). San Diego, CA, USA:IEEE Press, 2014:1-3.
[10] Costa M H M, Nair C. Gaussian z-interference channel:around the corner[C]//Information Theory and Applications Workshop (ITA). La Jolla, CA, USA:IEEE Press, 2016:1-6.
[11] Liu Yuanpeng Erkip E. On the sum capacity of K-user cascade Gaussian Z-interference channel[C]//IEEE International Symposium on Information Theory Proceedings (ISIT). St. Petersburg, Russia:IEEE Press, 2011:1382-1386.
[12] Mohanty K, Varanasi M K. The degrees of freedom region of the 3-user MIMO cyclic Z-interference channel with perfect and delayed CSIT[C]//IEEE International Symposium on Information Theory (ISIT). Hong Kong, China:IEEE Press, 2015:879-883.
[13] Etkin R H, Tse D N C, Wang Hua. Gaussian interference channel capacity to within one bit[J]. IEEE Transactions on Information Theory, 2008, 54(12):5534-5562.
[14] Zhang Bo, Li Yong, Mao Lulu, et al. Rate-splitting based bound-approaching transmission scheme for the two-user symmetric Gaussian interference channel with common messages[J]. Radioengineering, 2012, 21(4):1194-1201.
[15] 张博, 李勇, 白宝明, 等. 对称循环高斯干扰信道下的速率分裂方案及其可达和速率[J]. 通信学报, 2013(6):114-121. Zhang Bo, Li Yong, Bai Baoming, et al. Rate-splitting scheme and its achievable sum-rate for the symmetric cyclic Gaussian interference channel[J]. Journal on Communications, 2013(6):114-121.
[16] 张博, 李勇, 白宝明, 等. 高斯干扰信道中基于速率分裂的译码次序算法[J]. 电子与信息学报, 2013, 35(6):1388-1394. Zhang Bo, Li Yong, Bai Baoming, et al. Decoding order algorithm based on rate-splitting in Gaussian interference channels[J]. Journal of Electronics & Information Technology, 2013, 35(6):1388-1394.

多用户Z高斯干扰信道可达速率

Achievable Rate of Multi-user Gaussian Z Interference Channel

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	朱军, 唐宝煜, 李凯. 基于动态模式分解的移动用户信道容量预测算法[J]. 北京邮电大学学报, 2021, 44(4): 89-94.
[2]	唐杰, 李凯, 林楚婷, 宋彦, 周恩丞. OAM-MIMO通信系统的信道容量研究[J]. 北京邮电大学学报, 2020, 43(6): 27-35.
[3]	周杰, 袁梅, 唐登洪. Von Mises分布下椭圆散射信道建模[J]. 北京邮电大学学报, 2017, 40(2): 36-42.
[4]	李道本. 重叠复用原理下加性白高斯噪声信道的容量[J]. 北京邮电大学学报, 2016, 39(6): 1-10.
[5]	陈忠, 张贤达, 丁国如. 基于连续感知信息的认知无线电普适性框架[J]. 北京邮电大学学报, 2015, 38(4): 105-109.
[6]	周杰, 季榉, 菊池久和. 基于Y型阵MIMO天线互耦效应及信道容量[J]. 北京邮电大学学报, 2013, 36(4): 85-89.
[7]	王成金,李屹,张琳,纪红. 蜂窝小区内分层中继组播策略的信道容量分析[J]. 北京邮电大学学报, 2010, 33(6): 54-57.
[8]	吴联海林家儒贺志强牛凯. Weibull衰落信道下多跳通信系统的性能分析[J]. 北京邮电大学学报, 2009, 32(4): 25-29.
[9]	张宁波1,2，康桂霞1,2，曹鹏1,2，张平1,2，刘泽民1. 分布式天线系统信道容量的分析[J]. 北京邮电大学学报, 2008, 31(6): 125-128.
[10]	朱松，王文博，程昱，彭木根. 异构与同构协同中继信道容量分析[J]. 北京邮电大学学报, 2008, 31(4): 77-81.
[11]	叶天语, 钮心忻, 杨义先. 被动攻击下的信息隐藏系统性能分析[J]. 北京邮电大学学报, 2008, 31(3): 46-49.
[12]	罗振东1，高宏2，刘元安1，高锦春1. MIMO信道容量公式及其渐近界[J]. 北京邮电大学学报, 2006, 29(6): 72-76.
[13]	王军选1 , 尧文元2 , 廖汉程2. 多径衰落下基于多码检测的多天线CDMA信道容量[J]. 北京邮电大学学报, 2006, 29(3): 99-102.
[14]	罗涛, 刘丹谱, 乐光新. Rician衰落下空时分组编码信道的容量[J]. 北京邮电大学学报, 2004, 27(5): 94-98.
[15]	周华, 杨大成, 马敏. MIMO衰落信道的多用户分集性能分析[J]. 北京邮电大学学报, 2004, 27(4): 64-68.