Detecting the Number of Transmit Antennas in MIMO System with Multi-Path Channel

LI Hao; PENG Hua

doi:10.3969/j.issn.0372-2112.2016.07.003

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Detecting the Number of Transmit Antennas in MIMO System with Multi-Path Channel

更新时间：2025-07-16

- Detecting the Number of Transmit Antennas in MIMO System with Multi-Path Channel
- Acta Electronica Sinica Vol. 44, Issue 7, Pages: 1539-1547(2016)
- 作者机构：
  
  解放军信息工程大学信息系统工程学院,河南,郑州,450001
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61401511)
- DOI：10.3969/j.issn.0372-2112.2016.07.003
  CLC： TN911.7
- Published Online：25 July 2016，
  
  Published：2016
- 稿件说明：
移动端阅览
LI Hao, PENG Hua. Detecting the Number of Transmit Antennas in MIMO System with Multi-Path Channel[J]. Acta Electronica Sinica, 2016, 44(7): 1539-1547.
DOI：

LI Hao, PENG Hua. Detecting the Number of Transmit Antennas in MIMO System with Multi-Path Channel[J]. Acta Electronica Sinica, 2016, 44(7): 1539-1547. DOI： 10.3969/j.issn.0372-2112.2016.07.003.

摘要

为了解决认知无线电或信号截获中多径信道下MIMO系统发送天线数估计问题

首先分析了现有模型在多径信道下失效的原因

将MIMO多径信道模型等效变换出一种虚拟信道矩阵

从而建立多径信道下MIMO系统发送天线数估计模型;然后

利用随机矩阵理论中协方差矩阵最小特征值分布的相关研究结果

证明了时不变瑞利信道的协方差矩阵最小特征值收敛于第二类Tracy-Widom分布

分析了该特点对发送天线数估计的影响

并提出一种改进的RMT估计算法来估计多径信道下MIMO系统发送天线数.最后对改进算法进行了仿真验证

结果表明在低信噪比和小数据条件下

改进算法的估计性能相比RMT算法有较大提升.

Abstract

Under the condition of unauthorized receivers and cognitive radios

the problem of detecting the number of transmit antennas in MIMO system with multi-path channel is to be solved.To achieve this goal

we analyze the invalidation of presenting model and transform the MIMO multi-path channel model into virtual channel matrix to create the model of detecting the number of transmit antennas in MIMO system with multi-path channel.Then

the result of least eigen-value of covariance in random matrix theory is applied to the proof

which shows that the least eigen-value of channel covariance whose element obeys the Rayleigh distribution

converges in distribution to the Tracy-Widom law TW2.The effect on detecting the number of transmit antennas of this property is analyzed and an improved algorithm based on RMT

which could detect the number of transmit antennas in MIMO system with multi-path channel

is proposed.At last

the simulation shows that compared with the RMT algorithm the improved algorithm has better performance

in the condition of low SNR and small data size.

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Related Institution

School of Information Systems Engineering, PLA Information Engineering University

School of Information Science and Engineering， Yanshan University

School of Mechanical and Electrical Engineering， ShiJiaZhuang University

PLA Strategic Support Force Information Engineering University

（南京航空航天大学信息科学与技术学院，）

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