高级检索

基于流形分离的伪空间平滑解相干方法

Pseudo space smoothing decorrelation method based on manifold separation

  • 摘要: 经典的空间平滑解相干方法不能直接用于不规则阵列,已有的任意阵列解相干算法对先验参数要求较高。为同时解决上述两问题,本文直接利用经典的流形分离技术构建伪导向矢量,其表示形式与均匀线阵导向矢量表示形式相同。鉴于解相干所采用的SS—MUSIC算法原本限用于均匀线阵或部分均匀线阵,本文提出的上述方法,称为基于流形分离的伪空间平滑算法(manifold-separation-based pseudo spatial smoothing,MSPSS)。分析该算法的无偏性和有效性表明,其为渐进无偏,且方差无限接近克拉美罗界,且性能较为突出,在负信噪比(−30 dB)下依旧保持了高角度分辨率(−3 dB主瓣宽度0.8°)及低绝对误差(10−15数量级)。相比以往解相干算法,该算法真正实现了任意阵列流形解相干,且无上限地打破了现实矩阵的“瑞利限”,为后续衔接其它高性能DOA估计算法提供了基础。

     

    Abstract: The classical spatially smooth decorrelation method is not directly applicable to arbitrary arrays, and the existing arbitrary array decorrelation algorithms require better prior parameters. To address both issues simultaneously, this paper employs classical manifold separation technology to construct pseudo guide vectors in the same form as the directional vector representation of a uniform linear array (ULA), and applies the SS-MUSIC algorithm, originally limited to uniform or partially uniform linear arrays, to achieve decorrelation processing. This approach is referred to as the Manifold-Separation-based Pseudo Spatial Smoothing (MSPSS) algorithm. An unbiasedness and effectiveness analysis of the algorithm is conducted, demonstrating its asymptotic unbiasedness and variance approaching the Cramér-Rao bound. Simulation results indicate outstanding performance with high angle resolution (−3 dB main lobe width of 0.8°) and low absolute error (1015 order of magnitude) at negative Signal-to-Noise Ratio (SNR). The algorithm achieves true arbitrary array manifold decorrelation processing and surpasses the "Rayleigh limit" of real matrices without limitation, laying a foundation for subsequent integration with other algorithms.

     

/

返回文章
返回