arXiv:2602.15893cs.ROcs.IT2026-02

针对无人机搜寻中信号偏差的物理特性,提出非对称滤波方法提升定位精度。

Statistical-Geometric Degeneracy in UAV Search: A Physics-Aware Asymmetric Filtering Approach

  • 基于信号反射的非负物理先验,设计非对称损失函数
  • 在二维俯视扫描中收敛速度显著快于对称基线方法
  • 适合数据稀缺、几何受限的灾后搜救场景

灾后幸存者定位中的无人机搜索面临核心物理挑战:倒塌结构内普遍存在非视距(NLOS)传播。与标准高斯噪声不同,碎屑引起的信号反射带来严格非负的测距偏差。现有鲁棒估计器通常采用对称损失函数(如Huber或Tukey),隐含依赖误差对称性假设,因此在此情形下存在理论不匹配,导致我们正式定义的统计-几何退化(SGD)现象——即估计器因持续非对称偏差与有限观测几何耦合而停滞。尽管新兴数据驱动方法提供替代方案,但常受限于训练数据稀缺及模拟到现实的差距。本文提出物理基础解决方案AsymmetricHuberEKF,通过推导的非对称损失函数显式引入NLOS偏差的非负物理先验。理论上,标准对称滤波是本框架中物理约束放松的退化情况。此外,我们证明解决SGD不仅需要鲁棒滤波,还需特定双工信息,通过协同设计的主动感知策略实现。在二维俯视扫描场景验证中,该方法相比对称基线显著加速收敛,为数据稀缺且几何受限的搜救任务提供可靠构建模块。

原文摘要 · Abstract (English)

Post-disaster survivor localization using Unmanned Aerial Vehicles (UAVs) faces a fundamental physical challenge: the prevalence of Non-Line-of-Sight (NLOS) propagation in collapsed structures. Unlike standard Gaussian noise, signal reflection from debris introduces strictly non-negative ranging biases. Existing robust estimators, typically designed with symmetric loss functions (e.g., Huber or Tukey), implicitly rely on the assumption of error symmetry. Consequently, they experience a theoretical mismatch in this regime, leading to a phenomenon we formally identify as Statistical-Geometric Degeneracy (SGD)-a state where the estimator stagnates due to the coupling of persistent asymmetric bias and limited observation geometry. While emerging data-driven approaches offer alternatives, they often struggle with the scarcity of training data and the sim-to-real gap inherent in unstructured disaster zones. In this work, we propose a physically-grounded solution, the AsymmetricHuberEKF, which explicitly incorporates the non-negative physical prior of NLOS biases via a derived asymmetric loss function. Theoretically, we show that standard symmetric filters correspond to a degenerate case of our framework where the physical constraint is relaxed. Furthermore, we demonstrate that resolving SGD requires not just a robust filter, but specific bilateral information, which we achieve through a co-designed active sensing strategy. Validated in a 2D nadir-view scanning scenario, our approach significantly accelerates convergence compared to symmetric baselines, offering a resilient building block for search operations where data is scarce and geometry is constrained.

无人机搜索鲁棒估计非对称滤波

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