干扰信道中ZF协作MIMO发射的性能分析

doi:10.3969/j.issn.1000-436x.2012.12.009

通信学报 ›› 2012, Vol. 33 ›› Issue (12): 69-78.doi: 10.3969/j.issn.1000-436x.2012.12.009

干扰信道中ZF协作MIMO发射的性能分析

王海荣¹,董健²,黄永明¹,杨绿溪¹

¹ 东南大学信息科学与工程学院，江苏南京 210096
² 江苏省邮电规划设计院有限责任公司，江苏南京 210005

出版日期:2012-12-25 发布日期:2017-07-15
基金资助:
国家重点基础研究发展计划(“973”项目)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;国家科技重大专项基金资助项目;国家科技重大专项基金资助项目;教育部博士点基金资助项目;教育部博士点基金资助项目

Performance analysis of zero-forcing coordinated MIMO transmission in interference channels

Hai-rong WANG¹,Jian DONG²,Yong-ming HUANG¹,ANGLV-xi Y¹

¹ School of Information Science and Engineering,Southeast University,Nanjing 210096,China
² Jiangsu Post ＆Telecommunications Planning and Designi g Institute Co.Ltd.,Nanjing 210005,China

Online:2012-12-25 Published:2017-07-15
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;The National Science and Technology Major Project of China;The National Science and Technology Major Project of China;The Ph D Programs Foundation of Ministry of Education of China;The Ph D Programs Foundation of Ministry of Education of China

摘要/Abstract

摘要：

摘要：针对有协作反馈的多输入多输出(MIMO,multiple-input multiple-output)干扰信道，研究了迫零(ZF,zero-forcing)协作发射策略的性能。为了推导和速率(sum rate)与中断概率等性能指标的解析表达式，研究了在MIMO的维数趋向无穷时，各性能指标的渐近特性。利用随机矩阵理论，首次提出了迫零协作发射策略中等效矩阵所有特征值的一个渐近估计。并基于此推导了和速率的 2 个闭式表达式，同时还获得了和速率随着 MIMO 维数变化的缩放律。此外，利用多元统计中Wishart矩阵最小特征值概率分布函数的相关结论，推导了2种特例下的上述协作发射策略的中断概率表达式。仿真结果验证了所提的性能指标解析表达式不仅在大维的情况下成立，而且在中等维度下也是有效的。

关键词: 多输入多输出干扰信道, 迫零, 协作发射, 随机矩阵理论, 多元统计

Abstract:

The performance of the zero-forcing (ZF) coordinated transmit strategy in multiple-input multiple-output (MIMO) interference channels was investigated.With the goal to derive analytical expression of its performance metric such as the sum rate and the outage probability,the asymptotic behavior of the performance metric was examined with the MIMO dimension tending to infinity.Using the random ma ix theory,an asymptotic estimate of all the eigenvalues of the effective channel matrix in the ZF coordinated transmit strategy was first proposed.Based on that,two closed-form expressions of the sum rate were derived,from which the scaling law of the sum rate with the MIMO dimension was obtained.Furthermore,using the multivariate statistics about the probability density distribution of the minimum eigenvalue of a Wishart matrix,the analytical expression of the outage probability for the coordinated transmit scheme was achieved under two special cases.Simulation results show that the proposed tical expression of the performance metric is valid not only in the large-dimension regime,but also in the normal-dimension regime.

Key words: MIMO interference channel, zero forcing, coordinated transmission, random matrix theory

王海荣,董健,黄永明,杨绿溪. 干扰信道中ZF协作MIMO发射的性能分析[J]. 通信学报, 2012, 33(12): 69-78.

Hai-rong WANG,Jian DONG,Yong-ming HUANG,ANGLV-xi Y. Performance analysis of zero-forcing coordinated MIMO transmission in interference channels[J]. Journal on Communications, 2012, 33(12): 69-78.

图/表 10

图1

表1

实际和速率与估计和速率随M、N增加而增长的趋势"

b =1/5	和速率
b =1/5	$C \sim 2 l b (\frac{N!}{(N - M)!})$	C_asymp ~2lb(N^M)
M=2,N=10	12.987 3	13.287 7
M=5,N=25	45.208 3	46.438 6
M=10,N=50	110.098 2	112.817 1
M=20,N=100	259.876 3	265.754 2

表1

表2

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干扰信道中ZF协作MIMO发射的性能分析

Performance analysis of zero-forcing coordinated MIMO transmission in interference channels

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