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    Precise 3-D GNSS Attitude Determination Based on Riemannian Manifold Optimization Algorithms

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    T-SP-24622-2019.pdf
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    3.873Mb
    Format:
    PDF
    Description:
    Accepted manuscript
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    Type
    Article
    Authors
    Douik, Ahmed
    Liu, Xing
    Ballal, Tarig
    Al-Naffouri, Tareq Y. cc
    Hassibi, Babak
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Office of the VP
    Physical Science and Engineering (PSE) Division
    Date
    2019-12-13
    Online Publication Date
    2019-12-13
    Print Publication Date
    2020
    Permanent link to this record
    http://hdl.handle.net/10754/660558
    
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    Abstract
    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.2019.2959226
    Publisher
    IEEE
    Journal
    IEEE Transactions on Signal Processing
    DOI
    10.1109/TSP.2019.2959226
    Additional Links
    https://ieeexplore.ieee.org/document/8930995/
    https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8930995
    ae974a485f413a2113503eed53cd6c53
    10.1109/TSP.2019.2959226
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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