接收天线阵列三维空域相关性快速评估算法

Fast Evaluation for 3D Spatial Correlation of Receive Antenna Array

  • 摘要: 针对任意三维到达波角度分布时,接收天线阵列的空域相关性评估比较复杂,通常只能采用数值积分方法的问题,本文提出了一种基于角谱域脉冲采样的三维空域相关性评估快速算法。该算法首先利用特定采样脉冲对三维入射波功率角谱进行二维采样,然后根据采样脉冲的空域相关系数加权叠加获得不同天线接收信号之间的空域相关性,大大降低相关性计算的复杂度。同时,文中还推导获得基于最小均方误差准则的采样脉冲表达式及其对应的空域相关系数精确解析式和近似表达式。仿真和分析结果表明,当角谱域采样间隔小于10度时,该快速算法的最大误差小于0.01,但运算时间远远小于数值积分方法及其它评估方法,可满足信道估计和天线阵列设计等实际需求。

     

    Abstract: For arbitrary three-dimensional(3D) spatial angular distribution of received signal, evaluation for spatial correlation of receive antenna array is complicated and always obtained by the numerical integration method early. In this paper, we proposed a fast evaluation scheme of 3D spatial correlation of receive antenna array based on 2D pulse sampling technique in angle domain, which can reduce the complexity significantly. The new method first samples the 3D power azimuth spectrum(PAS) of received signal by 2D sampling pulse with special shapes, and then gets the spatial correlation of different antennas by weighted superposition of spatial correlation coefficient of each sampling pulse. Additionally, we presented a new sampling pulse shape based on minimum mean square error(MMSE) rule and derived its accurate formulation of spatial correlation coefficient as well as approximate one. Simulation and analysis results showed that the maximum error of the proposed method is less than 0.01 while the computation time is far less than numerical integration method and other methods, which can meet the accuracy and real-time demands in channel estimation and antenna array design.

     

/

返回文章
返回