基于稀疏贝叶斯推断的密集城区内无人机目标直接定位算法
Direct Localization of UAV Targets in Dense Urban Areas Based on Sparse Bayesian Inference
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摘要: 在当今社会,无人机“黑飞”现象日益频繁,给社会治理和公共安全带来了新的挑战。为了有效打击这一现象,迫切需要采取高精度的定位算法,以确保对无人机目标位置的准确获取。在一些密集城区内,定位设备的阵列天线接收到的信号是无人机经周边大量建筑物所构成的散射体散射后形成的多径分量的叠加,此时不能简单认为由点信源产生的,而是需要将目标建立为分布式信源模型。在这种情况下,如果仍采取传统的直接定位算法,在估计分布式信源位置时会出现性能急剧恶化的问题。针对上述问题,本文提出一种利用稀疏贝叶斯推断对相干分布式信源目标进行直接定位的算法。本算法首先建立相干分布式信源场景下多阵列联合的目标定位模型;对其构建稀疏概率框架,在该框架下对稀疏信号和噪声施加先验信息;之后利用贝叶斯推断方法可以更新迭代出超参数的估计值,进而得到每个网格点上的功率谱值;最后通过多维搜索来获取最大谱峰值处位置,即为信源位置。本文还详细推导了在数据域下相干分布式信源直接定位的克拉美罗下界,为算法的估计性能提供了基准。数值仿真结果表明在相干分布式信源模型下所提算法相比子空间类算法有着更高的定位精度和鲁棒性,在较多阵元情况下定位性能能够逼近最大似然估计算法。Abstract: With the increasing occurrence of unauthorized unmanned aerial vehicle (UAV) flights, commonly called “black flying”, there is a growing demand for effective localization approaches to implement countermeasures. However, in dense urban areas, the prevalence of low-altitude UAV flights results in their emitted signals being scattered off the surrounding buildings. The intercepted signals received by the antenna arrays form a superposition of multipath components, necessitating the establishment of a distributed source model rather than a simplistic point-source assumption. Conventional direct position determination (DPD) algorithms based on a point source model exhibit a sharp decline in performance and may even fail in scenarios characterized by distributed sources. This study proposes a DPD method based on the sparse Bayesian inference (SBI) technique under a coherently distributed source scenario, termed CD-SBL to overcome these challenges. Additionally, the proposed algorithm tackles the limitations of subspace-based methods in scenarios with limited snapshots and fewer array elements by incorporating the SBI technique for signal reconstruction, thereby facilitating effective target localization. The algorithm establishes a localization model for coherently distributed (CD) sources in scenes with multiple arrays. It constructs a sparse probability framework and applies prior information to sparse signals and noise within this framework. The SBI technique is then employed to iteratively update the estimated values of hyperparameters, obtaining power spectral values at each grid point (GP) in the region of interest (ROI). The final step involves a multidimensional spectrum search to pinpoint the source’s position at the peak of the generated power spectrum. Furthermore, this study provides a detailed derivation of the Cramér-Rao lower bound for the DPD of CD sources in the time domain. Numerical simulation results demonstrate that the proposed algorithm exhibits higher localization accuracy and robustness than the traditional subspace-based algorithms in scenarios featuring a CD source model. In situations with more array elements, its performance approaches that of the maximum likelihood estimation algorithm.