多天线深空中继通信系统的中断概率和信道容量

doi:10.3969/j.issn.0255-8297.2014.06.001

应用科学学报 ›› 2014, Vol. 32 ›› Issue (6): 551-558.doi: 10.3969/j.issn.0255-8297.2014.06.001

多天线深空中继通信系统的中断概率和信道容量

陈学强，王成华，张小飞，陈晓明，朱秋明

1. 南京航空航天大学雷达成像与微波光子技术教育部重点实验室，南京210016
2. 南京航空航天大学电子信息工程学院，南京210016

收稿日期:2014-06-07 修回日期:2014-10-03 出版日期:2014-11-28 发布日期:2014-10-03
作者简介:陈学强，博士，研究方向：深空测控通信、通信与信息系统，E-mail：cxq2008@nuaa.edu.cn；王成华，教授，博导，研究方向：深空探测、电路与系统，E-mail：chwang@nuaa.edu.cn
基金资助:
国家自然科学基金(No.61371169)；江苏省普通高校研究生科研创新项目基金(No.CXLX11_0196)资助

Outage Probability and Ergodic Capacity of Deep Space Communication with Relay Forwarding and Multiple Antenna Reception

CHEN Xue-qiang, WANG Cheng-hua, ZHANG Xiao-fei, CHEN Xiao-ming, ZHU Qiu-ming

1. Key Laboratory of Radar Imaging and Microwave Photonics, Nanjing University of
Aeronautics and Astronautics, Nanjing 210016, China
2. College of Electronic and Information Engineering, Nanjing University of
Aeronautics and Astronautics, Nanjing 210016, China

Received:2014-06-07 Revised:2014-10-03 Online:2014-11-28 Published:2014-10-03

摘要/Abstract

摘要： 中断概率和各态历经信道容量是分析深空通信系统性能的重要指标. 针对深空通信系统中链路损耗大、时延长、频繁中断的问题，分析了多天线深空中继通信系统的中断概率和各态历经信道容量. 根据深空通信环境的特点建立了基于独立不同分布瑞利衰落信道的系统模型，推导了单支路信噪比的精确表达式，进而给出了单支路接收信噪比的概率密度函数，并推导了在选择合并方式下系统中断概率的闭合解析式以及各态历经信道容量的近似表达式. 通过对系统性能的仿真，验证了本文系统模型和理论分析的有效性.

关键词: 深空通信, 多天线接收, 中继转发, 中断概率, 信道容量

Abstract: Multiple antenna reception combined with relay forwarding is an effective way to overcome problems
of large link loss, path delay and frequent interruption in a deep space communication system (DSCS). Outage
probability and ergodic capacity are important performance indexes in DSCS. To the authors’ knowledge,
performance of DSCS with multiple antenna reception and relay forwarding has not been reported. This paper
analyzes outage probability and ergodic channel capacity for DSCS with multiple antenna reception and relay
forwarding. Considering the characteristics of DSCS environment, we use independent non-identical (i.n.i.)
Rayleigh distribution as a fading model for each branch channel including source-relay and relay-destination
channels. Exact SNR expressions for a single source-relay-destination branch are derived. Based on the i.n.i.
Rayleigh model, the probability density function of the received SNR in each branch channel is given. For large
distances between receiving antennas, a selection combing strategy is used at the receiving end. A closed form
expression of system outage probability and an approximate expression of system ergodic channel capacity are
derived. Simulation shows validity of the theoretical analysis.

Key words: deep space communication, multiple antenna reception, relay forwarding, outage probability, ergodic capacity

中图分类号:

TN927.3

陈学强，王成华，张小飞，陈晓明，朱秋明. 多天线深空中继通信系统的中断概率和信道容量[J]. 应用科学学报, 2014, 32(6): 551-558.

CHEN Xue-qiang, WANG Cheng-hua, ZHANG Xiao-fei, CHEN Xiao-ming, ZHU Qiu-ming. Outage Probability and Ergodic Capacity of Deep Space Communication with Relay Forwarding and Multiple Antenna Reception[J]. Journal of Applied Sciences, 2014, 32(6): 551-558.

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多天线深空中继通信系统的中断概率和信道容量

Outage Probability and Ergodic Capacity of Deep Space Communication with Relay Forwarding and Multiple Antenna Reception

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