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dc.contributor.authorDouik, Ahmed
dc.contributor.authorLiu, Xing
dc.contributor.authorBallal, Tarig
dc.contributor.authorAl-Naffouri, Tareq Y.
dc.contributor.authorHassibi, Babak
dc.date.accessioned2019-12-15T08:30:02Z
dc.date.available2019-12-15T08:30:02Z
dc.date.issued2019-12-13
dc.identifier.citationDouik, 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
dc.identifier.doi10.1109/TSP.2019.2959226
dc.identifier.urihttp://hdl.handle.net/10754/660558
dc.description.abstractIn 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.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttps://ieeexplore.ieee.org/document/8930995/
dc.relation.urlhttps://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8930995
dc.rightsArchived with thanks to IEEE Transactions on Signal Processing
dc.subject3-D GNSS attitude determination
dc.subjectGPS localization
dc.subjectinteger ambiguity resolution
dc.subjectnon-convex optimization
dc.subjectRiemannian manifolds
dc.titlePrecise 3-D GNSS Attitude Determination Based on Riemannian Manifold Optimization Algorithms
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentOffice of the VP
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalIEEE Transactions on Signal Processing
dc.eprint.versionPost-print
dc.contributor.institutionElectrical Engineering, Pasadena, California United States 91125
dc.contributor.institutionCaltech, EE Dept., Pasadena, California United States 91125
kaust.personLiu, Xing
kaust.personBallal, Tarig
kaust.personAl-Naffouri, Tareq Y.
refterms.dateFOA2019-12-15T11:50:52Z
dc.date.published-online2019-12-13
dc.date.published-print2020


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