Precise 3-D GNSS Attitude Determination Based on Riemannian Manifold Optimization Algorithms
Type
ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionElectrical Engineering Program
Office of the VP
Physical Science and Engineering (PSE) Division
Date
2019-12-13Online Publication Date
2019-12-13Print Publication Date
2020Permanent link to this record
http://hdl.handle.net/10754/660558
Metadata
Show full item recordAbstract
In the past few years, Global Navigation Satellite Systems (GNSS) based attitude determination has been widely used thanks to its high accuracy, low cost, and real-time performance. This paper presents a novel 3-D GNSS attitude determination method based on Riemannian optimization techniques. The paper first exploits the antenna geometry and baseline lengths to reformulate the 3-D GNSS attitude determination problem as an optimization over a non-convex set. Since the solution set is a manifold, in this manuscript we formulate the problem as an optimization over a Riemannian manifold. The study of the geometry of the manifold allows the design of efficient first and second order Riemannian algorithms to solve the 3-D GNSS attitude determination problem. Despite the non-convexity of the problem, the proposed algorithms are guaranteed to globally converge to a critical point of the optimization problem. To assess the performance of the proposed framework, numerical simulations are provided for the most challenging attitude determination cases: the unaided, single-epoch, and single-frequency scenarios. Numerical results reveal that the proposed algorithms largely outperform state-of-the-art methods for various system configurations with lower complexity than generic non-convex solvers, e.g., interior point methods.Citation
Douik, A., Liu, X., Ballal, T., Al-Naffouri, T. Y., & Hassibi, B. (2020). Precise 3-D GNSS Attitude Determination Based on Riemannian Manifold Optimization Algorithms. IEEE Transactions on Signal Processing, 68, 284–299. doi:10.1109/tsp.2019.2959226Publisher
IEEEAdditional Links
https://ieeexplore.ieee.org/document/8930995/https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8930995
ae974a485f413a2113503eed53cd6c53
10.1109/TSP.2019.2959226