MIMO信道容量公式及其渐近界  

Formula and Asymptotic Bound of MIMO Channel Capacity

作　　者：罗振东[1] 高宏[2] 刘元安[1] 高锦春[1] 

机构地区：[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

出　　处：《北京邮电大学学报》2006年第6期72-76,共5页Journal of Beijing University of Posts and Telecommunications

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.The ergodic capacity of independent and identically distributed multiple-input multiple-output （MIMO） flat Raylelgh 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 closedform MIMO channel capacity formula is derived by using the eigenvalue distribution of Wishart matrix. An asymptotic bound of MIMO channel capacity at high signal-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.

关 键 词：多入多出 信道容量 衰落信道 特殊函数 特征值分布 

分 类 号：TN911.2[电子电信—通信与信息系统]