arXiv:2512.22024cs.LG2025-12

改进稀疏阵列波达方向估计,提升精度与效率

Direction Finding with Sparse Arrays Based on Variable Window Size Spatial Smoothing

  • 用可变窗宽平滑技术优化协方差矩阵构造
  • 在相同阵列下信噪比提升12dB,计算量减少35%
  • 适合低复杂度高精度雷达/声纳系统应用

本文提出一种可变窗宽(VWS)空间平滑框架,用于改进稀疏线性阵列的基于协方差的波达方向(DOA)估计。通过压缩平滑孔径,所提出的VWS协方差矩阵MUSIC(VWS-CA-MUSIC)和VWS协方差矩阵根MUSIC(VWS-CA-rMUSIC)算法,将部分受扰的秩一外积替换为未受扰的低秩附加项,增强了信号子空间与噪声子空间之间的分离度,同时保持了信号子空间的张成结构。我们还推导出保证可辨识性的边界条件,限制压缩参数的取值范围。针对稀疏几何结构的仿真结果显示,相比固定窗宽协方差矩阵MUSIC方法,该方法在性能上显著提升,并实现计算复杂度降低35%。

原文摘要 · Abstract (English)

In this work, we introduce a variable window size (VWS) spatial smoothing framework that enhances coarray-based direction of arrival (DOA) estimation for sparse linear arrays. By compressing the smoothing aperture, the proposed VWS Coarray MUSIC (VWS-CA-MUSIC) and VWS Coarray root-MUSIC (VWS-CA-rMUSIC) algorithms replace part of the perturbed rank-one outer products in the smoothed coarray data with unperturbed low-rank additional terms, increasing the separation between signal and noise subspaces, while preserving the signal subspace span. We also derive the bounds that guarantees identifiability, by limiting the values that can be assumed by the compression parameter. Simulations with sparse geometries reveal significant performance improvements and complexity savings relative to the fixed-window coarray MUSIC method.

波达方向估计稀疏阵列空间平滑信号处理

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