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Use of Tikhonov Regularization to Improve the Accuracy of Position Estimates in Inertial Navigation
Joint Authors
Nieminen, Tuukka
Kettunen, Lauri
Kangas, Jari
Source
International Journal of Navigation and Observation
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Inertial navigation problems are often understood as initial value problems.
However, there are many applications where boundary value problems naturally arise.
In these situations, it has been shown that the finite element method can be efficiently used to compute accurate position and velocity estimates.
We will propose that finite element method complemented with Tikhonov regularization—a basic tool for inverse problems—is a powerful combination for further accuracy improvements.
The proposed method provides a straightforward way to exploit prior information of various types and is subject to rigorous optimality results.
Use and accuracy of the proposed method are demonstrated with examples.
American Psychological Association (APA)
Nieminen, Tuukka& Kangas, Jari& Kettunen, Lauri. 2011. Use of Tikhonov Regularization to Improve the Accuracy of Position Estimates in Inertial Navigation. International Journal of Navigation and Observation،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-472519
Modern Language Association (MLA)
Nieminen, Tuukka…[et al.]. Use of Tikhonov Regularization to Improve the Accuracy of Position Estimates in Inertial Navigation. International Journal of Navigation and Observation No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-472519
American Medical Association (AMA)
Nieminen, Tuukka& Kangas, Jari& Kettunen, Lauri. Use of Tikhonov Regularization to Improve the Accuracy of Position Estimates in Inertial Navigation. International Journal of Navigation and Observation. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-472519
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472519