Nakagami衰落包络的空时频相关性研究

摘要

The correlation between diversity signals has great influence on the performance of multi-element diversity system. Based on the relationships between Rayleigh and Nakagami fading, a general close-form expression of the space-time-frequency correlation for Nakagami fading envelopes is derived. This expression can be used for arbitrary scattering environments and different fading parameters. Finally, the effects of various parameters on the Nakagami fading envelopes' correlation and the approximate expressions of coherence distance, as well as coherence time and coherence bandwidth, are respectively given by numerical simulation. These results are of great importance to performance analysis and system parameter design for multi-antenna systems.%多天线分集接收系统的性能与各支路信号衰落的相关性密切相关,通过分析Nakagami与瑞利衰落的内在联系,推导给出了不同Nakagami衰落包络之间的空时频相关性解析式,该表达式适用于任意散射条件和不同衰落系数.最后,通过数值仿真分析各参数对Nakagami衰落之间相关性的影响,并给出相干距离(时间、频率)的近似表达式,该结论对多天线系统的性能评估和参数设计非常重要.