北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2006, Vol. 29 ›› Issue (6): 72-76.doi: 10.13190/jbupt.200606.72.241

• 论文 • 上一篇    下一篇

MIMO信道容量公式及其渐近界

罗振东1,高宏2,刘元安1,高锦春1   

  1. 1. 北京邮电大学 电信工程学院, 北京100876; 2. 信息产业部 电信研究院, 北京100083
  • 收稿日期:2005-10-19 修回日期:1900-01-01 出版日期:2006-12-30 发布日期:2006-12-30
  • 通讯作者: 罗振东

Formula and Asymptotic Bound of MIMO Channel Capacity

LUO Zhen-dong1, GAO Hong2, LIU Yuan-an1, GAO Jin-chun1   

  1. 1. School of Telecommunication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2. China Academy of Telecommunication Research, Ministry of Information Industry, Beijing 100083, China
  • Received:2005-10-19 Revised:1900-01-01 Online:2006-12-30 Published:2006-12-30
  • Contact: LUO Zhen-dong1

摘要:

研究了当发射机未知而接收机已知信道状态信息时,独立同分布的多入多出(MIMO)平坦瑞利衰落信道的各态历经信道容量。首先,利用Wishart矩阵的特征值分布,导出了一个简单闭合的MIMO信道容量公式;然后基于此公式,得到了MIMO信道容量在高信噪比时的渐近界,解析地反映了随着信噪比的逐渐增加,MIMO信道容量与信噪比(以dB为单位)和收发天线数目的最小值呈渐近的线性关系;最后,计算机仿真验证了所提出的MIMO信道容量公式及其渐近界的正确性。

关键词: 多入多出, 信道容量, 衰落信道, 特殊函数, 特征值分布

Abstract:

The ergodic capacity of independent and identically distributed multiple-input multiple-output (MIMO) flat Rayleigh fading channels is investigated when the channel state information is assumed to be unknown at the transmitter but perfectly known at the receiver. Firstly, a simple closed-form MIMO channel capacity formula is derived by using the eigenvalue distribution of Wishart matrix. An asymptotic bound of MIMO channel capacity at high signal-to-noise ratio (SNR) is acquired on the basis of the formula. The bound analytically shows that the capacity is asymptotically linear in the logarithm of SNR and the minimum of the number of transmit and receive antennas with the growth of SNR. Finally, the proposed capacity formula and asymptotic bound are justified by computer simulation.

Key words: multiple-input multiple-output systems, channel capacity, fading channels, special function, eigenvalue distribution

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