This article develops a tight integrity risk bound for residual-based (RB) advanced receiver autonomous integrity monitoring (ARAIM). ARAIM measurement models include nominal biases accounting for unknown but bounded errors, and faults of unbounded magnitude. In RB methods, upper bounding the integrity risk requires that one finds the worst-case directions of both the multisatellite fault vector and of the all-in-view nominal bias vector. Previous methods only account for the worst-case fault direction assuming zero nominal bias. To address this issue, in this article, we derive a new bounding method in parity space. The method establishes a direct relationship between mean estimation error and RB test statistic noncentrality parameter, which accounts for both faults and nominal errors. ARAIM performance is evaluated to quantify the improvement provided by the proposed method over previous approaches.

中文翻译：

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基于残差的ARAIM约束完整性风险的新方法

本文为基于残差 (RB) 的高级接收器自主完整性监控 (ARAIM) 开发了严格的完整性风险界限。ARAIM 测量模型包括考虑未知但有界误差的名义偏差，以及无限量级的故障。在 RB 方法中，完整性风险的上限要求找到多卫星故障矢量和全视野标称偏差矢量的最坏情况方向。以前的方法仅考虑假设零标称偏差的最坏情况故障方向。为了解决这个问题，在本文中，我们在奇偶空间中推导出了一种新的边界方法。该方法在平均估计误差和 RB 检验统计非中心性参数之间建立了直接关系，该参数同时考虑了故障和名义误差。