高级检索

基于奇异值分解与零空间相结合的多信源方向估计方法

A multiple source direction estimation method based on singular value decomposition and null space combination

  • 摘要: 针对多重信号分类(multiple signal classification, MUSIC)算法、最小方差无失真响应(minimum variance distortionless response, MVDR)算法在低信噪比、信源数接近阵元数以及快拍数不足等不利条件下因协方差矩阵计算误差较大而引起的声源到达方向角度估计性能下降的问题,提出了一种奇异值分解(singular value decomposition, SVD)与零空间法(null space method, NSM)相结合的目标方位估计方法。该方法通过对信号接收矩阵进行奇异值分解,降秩处理后获得信号的主要信息空间,并进一步对降秩矩阵求齐次线性方程组的解组成零空间,最后通过零空间构造谱图进行声源方向角度估计。理论分析与仿真结果表明,所提方法相较于前两种算法在不同信噪比条件下的定位误差均有下降。表明奇异值分解与零空间结合的方法在非理想声学场景下较传统算法相比展现出了更优越的方向估计性能、更强的鲁棒性和稳定性。

     

    Abstract: To address the issue of degraded direction-of-arrival (DOA) estimation performance caused by covariance matrix calculation errors in the Multiple Signal Classification (MUSIC) algorithm and the Minimum Variance Distortionless Response (MVDR) algorithm under unfavorable conditions such as low signal-to-noise ratio (SNR), the number of sources being close to the array elements, and insufficient snapshots, an angle estimation method combining Singular Value Decomposition (SVD) and Null Space Method (NSM) is proposed. This method performs singular value decomposition on the signal receiving matrix, obtains the dominant information space after rank reduction, and then solves a homogeneous linear system of equations to form the null space. Finally, the null space is used to construct a spectrum for estimating the source direction angle. Theoretical analysis and simulation results demonstrate that, compared with MUSIC and MVDR, the proposed method exhibits lower localization errors under various SNR conditions. These results indicate that the combination of SVD and NSM outperforms traditional algorithms in non-ideal acoustic environments, demonstrating superior direction estimation performance, robustness, and stability.

     

/

返回文章
返回