arXiv:2409.00033eess.SPcs.IT2024-09

提出稀疏子阵列设计与新算法,实现更多信号源的高精度定位。

Direction of Arrival Estimation with Sparse Subarrays

  • 分两类稀疏子阵列:拆分型与预设型,灵活适配不同场景。
  • 算法可识别源数超物理传感器数,且计算开销可控。
  • 适用于雷达、通信等需高分辨率测向的实时系统。

本文提出部分校准稀疏线性子阵列的设计方法及相应的方向到达(DOA)估计算法。首先引入两类阵列结构:类型-I将已知稀疏线性构型拆分为多段;类型-II则按预设稀疏构型配置各子阵。此外,针对部分校准情形,设计了两种适用于协方差域的DOA估计算法,可在保持硬件与计算复杂度在实用范围内的前提下,估计超过物理传感器数量的信号源。为此,通过投影到仿射空间的交集,结合改进的噪声子空间投影矩阵,提出广义协方差多重信号分类(GCA-MUSIC)算法,并基于根MUSIC思想优化。对所提子阵列构型进行了自由度分析,同时推导了所用数据模型的Cramér-Rao下界,验证其性能优越性。仿真结果表明,该方法在性能上优于现有技术。

原文摘要 · Abstract (English)

This paper proposes design techniques for partially-calibrated sparse linear subarrays and algorithms to perform direction-of-arrival (DOA) estimation. First, we introduce array architectures that incorporate two distinct array categories, namely type-I and type-II arrays. The former breaks down a known sparse linear geometry into as many pieces as we need, and the latter employs each subarray such as it fits a preplanned sparse linear geometry. Moreover, we devise two Direction of Arrival (DOA) estimation algorithms that are suitable for partially-calibrated array scenarios within the coarray domain. The algorithms are capable of estimating a greater number of sources than the number of available physical sensors, while maintaining the hardware and computational complexity within practical limits for real-time implementation. To this end, we exploit the intersection of projections onto affine spaces by devising the Generalized Coarray Multiple Signal Classification (GCA-MUSIC) in conjunction with the estimation of a refined projection matrix related to the noise subspace, as proposed in the GCA root-MUSIC algorithm. An analysis is performed for the devised subarray configurations in terms of degrees of freedom, as well as the computation of the Cramèr-Rao Lower Bound for the utilized data model, in order to demonstrate the good performance of the proposed methods. Simulations assess the performance of the proposed design methods and algorithms against existing approaches.

DOA估计稀疏阵列信号处理

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。