基于泰勒级数下的均匀分布的空间相关性分析

通过对泰勒级数的展开,推导了均匀角能量分布的线性阵列和圆形阵列空间相关性的泰勒近似表达式。在对空间相关性的精确表达式的基础上,通过泰勒级数的展开,得到近似的相关性的表达式,在Matlab环境下进行仿真,对泰勒级数展开的近似算法与以往的近似算法进行了比较,并将基于泰勒级数展开的近似算法与精确算法进行比较,结果表明在一定条件下,泰勒近似算法与精确算法在很大范围内有很好的一致性。通过近似算法的分析可以得出,在一定范围内,增大天线间的距离以及角能量分布标准差可以减小天线阵列的空间相关性。

Spatial correlation functions for uniform energy distribution based on Taylor series

This paper derives spatial correlation functions of linear and circular antenna arrays for uniform angular distribution. Under the analysis of exact formula for spatial correlation, with the expanding of Taylor series, it has the approximate function of spatial correlation, emulates it with Matlab, and compares the Taylor series approximate function with the former approximate function and the exact formula. The spatial correlation formulas are investigated carefully by exact and approximate analyses. The result is that, in some condition, the Taylor series approximate functions and the exact formulas match very well in a large range. With the analysis of the Taylor series approximate functions the conclusion is derived that within a certain range, the spatial correlation reduces by increasing the distance between antennas and the standard deviation of the distribution.