低空场景下分布式信源直接定位方法研究

Direct Position Determination of Distributed Signal Sources in Low-Altitude Environments

  • 摘要: 针对城区低空环境中多径传播、局部散射及角度扩展等复杂因素导致的无人机定位精度显著下降问题,本文提出一种基于离格稀疏贝叶斯学习的分布式信源直接定位方法。传统的直接定位方法大多基于理想点信源假设,未能充分考虑复杂城区传播环境中显著的多径干扰与角度扩展效应,导致定位性能大幅退化。为此,本文将多个无人机目标合理建模为多个相干分布源,在多基站协同观测的框架下,构建适配复杂传播场景的多信源直接定位模型。在方法上,将分布式信源定位问题转化为稀疏重构问题,在稀疏贝叶斯学习框架下建立层级概率模型,为信号精度与噪声精度分别引入合适的先验分布,通过期望最大化算法实现超参数的自适应估计,提升模型适配性。针对稀疏重构中常见的网格失配问题,引入离格优化策略,基于导向矢量的一阶泰勒展开对位置偏差进行精准修正,并在迭代过程中动态更新字典矩阵,实现对无人机真实位置的连续逼近。此外,针对多目标邻近场景下的分辨困难问题,基于克拉美罗下界推导统计分辨限,用于定量刻画系统的多目标分辨能力。仿真结果表明,在不同信噪比与快拍数条件下,所提方法均能实现无人机的稳定定位,具备较好的稳健性,同时展现出较强的多目标分辨能力。研究表明,该方法可有效缓解模型失配与网格失配影响,适用于复杂城区低空无人机定位场景。

     

    Abstract: To address the degradation of the localization accuracy of unmanned aerial vehicle (UAV) in urban low-altitude environments, caused by multipath propagation, local scattering, and angular spread, a gridless sparse Bayesian learning (SBL) direct localization method was proposed in this study for distributed sources. Conventional direct localization approaches are typically developed under the ideal point-source assumption, which is inadequate for complex urban propagation environments that are characterized by significant multipath and angular spread effects. This mismatch often leads to model errors and performance degradation. To overcome this limitation, the target was modeled as a coherently distributed source, and a direct localization framework was established under a multi-base-station cooperative observation scheme. From a methodological perspective, the distributed source localization problem was reformulated as a sparse reconstruction problem. A hierarchical probabilistic model was constructed within the SBL framework, where prior distributions were imposed on both signal and noise precisions. The hyperparameters were then adaptively estimated via the expectation-maximization algorithm. To mitigate the grid mismatch issue, a gridless optimization strategy was introduced. Specifically, a first-order Taylor expansion of the steering vector was employed to compensate for position deviations, and a dictionary matrix was dynamically updated during the iterative process, thus enabling continuous refinement toward the true source locations. Furthermore, to address the resolution degradation caused by closely spaced multiple targets, the statistical resolution limit was derived based on the Cramér-Rao lower bound, which served as a quantitative measure of system resolvability. Simulation results demonstrated that the proposed method achieved stable localization performance under various signal-to-noise ratio (SNR) and snapshot conditions. Its performance approached the theoretical lower bound in moderate-to-high SNR regimes while maintaining strong robustness in low-SNR scenarios. In addition, it exhibited superior capability in resolving closely spaced targets. These results indicate that the proposed method effectively alleviates model as well as grid mismatch issues, thus making it well suited for UAV localization in complex urban low-altitude environments.

     

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