论文标题
通过Riemannian流形优化，瞬时GNSS歧义解决和态度确定
Instantaneous GNSS Ambiguity Resolution and Attitude Determination via Riemannian Manifold Optimization
论文作者
论文摘要
我们提出了一种基于全球导航卫星系统（GNSS）的态度确定的歧义分辨率方法。具有非线性约束的GNSS态度模型用于严格合并先验信息。鉴于所采用的非线性约束的特征，我们将GNSS态度确定为多种多样的优化问题。然后，利用歧管优化算法用于基于目标函数的拟议分解来帮助歧义分辨率。流形几何形状的应用实现了高质量的浮点解决方案，这些解决方案对于在效率，可用性和可靠性方面加强基于搜索的整数歧义分辨率至关重要。所提出的方法的特征在于计算复杂性低，并且很高的概率正确解决了歧义。通过一系列模拟和实际实验测试了提出的歧义分辨率方法的性能。与主基准的比较表明，高歧义分辨率的成功率反映了所提出的方法的优越性。
We present an ambiguity resolution method for Global Navigation Satellite System (GNSS)-based attitude determination. A GNSS attitude model with nonlinear constraints is used to rigorously incorporate a priori information. Given the characteristics of the employed nonlinear constraints, we formulate GNSS attitude determination as an optimization problem on a manifold. Then, Riemannian manifold optimization algorithms are utilized to aid ambiguity resolution based on a proposed decomposition of the objective function. The application of manifold geometry enables high-quality float solutions that are critical to reinforcing search-based integer ambiguity resolution in terms of efficiency, availability, and reliability. The proposed approach is characterized by a low computational complexity and a high probability of resolving the ambiguities correctly. The performance of the proposed ambiguity resolution method is tested through a series of simulations and real experiments. Comparisons with the principal benchmarks indicate the superiority of the proposed method as reflected by the high ambiguity resolution success rates.
