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本文推导波达信号功率谱对MIMO(Multiple Input Multiple Output)多天线信号接收衰落相关性通用式,并分析了在各种功率谱分布下的接收信号相关性。结果证明分析可以很好地应用于波达信号功率谱为高斯分布、拉普拉斯分布和均匀角分布时的信道情况。在功率谱分布是双边分布时,导出了其接收信号衰落相关性特征。分析结果发现功率谱分布的标准偏差或角度扩展大小是确定接收信号衰落相关性的主导因素。数值结果表明在一定范围内增大天线阵列单元间的距离以及功率谱分布标准差可以减小天线阵列接收信号衰落相关性,改善系统性能。在阵列天线单元间在中长距离内,功率谱高斯分布更符合实际和有利于分析和提高无线信道多天线MIMO系统性能。
In this paper, we generalize the general dependence of the power spectrum of the POD signal on the reception fading of MIMO (Multiple Input Multiple Output) signals and analyze the correlation of the received signals under various power spectrum distributions. The result proves that the analysis can be well applied to the channel condition when the power spectrum of the DOA signal is a Gaussian distribution, a Laplacian distribution and a uniform angular distribution. When the power spectrum distribution is bilaterally distributed, the correlation characteristics of the received signal fading are derived. The analysis found that the standard deviation or angular spread of the power spectrum distribution is the dominant factor in determining the correlation of the received signal fading. The numerical results show that increasing the distance between antenna array elements and the standard deviation of the power spectrum distribution can reduce the correlation of the fading of the received signal and improve the system performance. In the middle and long distance between the array antenna elements, the power spectrum Gaussian distribution is more realistic and beneficial to analyze and improve the performance of the wireless channel multi-antenna MIMO system.