Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares
In this paper, we propose a robust Kalman filter and smoother for the errors-in-variables (EIV) state space model subject to observation noise with outliers. We introduce the EIV problem with outliers and then we present the Least-Trimmed-Squares (LTS) estimator which is highly robust estimator to d...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2020
|
| الوصول للمادة أونلاين: | https://eprints.kfupm.edu.sa/id/eprint/1460/1/d3_s13_p4_1569048499.pdf |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513389548535808 |
|---|---|
| author | ALMutawa, Jaafar |
| author2 | unknown |
| author2_role | author |
| author_facet | ALMutawa, Jaafar unknown |
| author_role | author |
| dc.creator.none.fl_str_mv | ALMutawa, Jaafar unknown |
| dc.date.*.fl_str_mv | 2020 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/1460/1/d3_s13_p4_1569048499.pdf Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares. IEEEGCC 2007. |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/1460/ |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares |
| dc.type.none.fl_str_mv | Article PeerReviewed info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper, we propose a robust Kalman filter and smoother for the errors-in-variables (EIV) state space model subject to observation noise with outliers. We introduce the EIV problem with outliers and then we present the Least-Trimmed-Squares (LTS) estimator which is highly robust estimator to detect outliers. As a result, a new statistical test to check the existence of outliers which is based on the Kalman filter and smoother has been formulated. Since the LTS is combinatorial optimization problem the randomized algorithm has been proposed in order to achieve the optimal estimate. However, the uniform sampling method has a high computational cost and may lead to biased estimate, therefore we apply the subsampling method. Keywords: Errors-in-variables model, Least-Trimmed- Squares, Kalman filter and smoother, outliers, random search algorithm, subsampling method. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | KFUPM_52c500b4e294f4c8844dc810a9ab0691 |
| identifier_str_mv | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares. IEEEGCC 2007. |
| language_invalid_str_mv | en |
| network_acronym_str | KFUPM |
| network_name_str | King Fahd University of Petroleum and Minerals |
| oai_identifier_str | oai::1460 |
| publishDate | 2020 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-SquaresALMutawa, JaafarunknownIn this paper, we propose a robust Kalman filter and smoother for the errors-in-variables (EIV) state space model subject to observation noise with outliers. We introduce the EIV problem with outliers and then we present the Least-Trimmed-Squares (LTS) estimator which is highly robust estimator to detect outliers. As a result, a new statistical test to check the existence of outliers which is based on the Kalman filter and smoother has been formulated. Since the LTS is combinatorial optimization problem the randomized algorithm has been proposed in order to achieve the optimal estimate. However, the uniform sampling method has a high computational cost and may lead to biased estimate, therefore we apply the subsampling method. Keywords: Errors-in-variables model, Least-Trimmed- Squares, Kalman filter and smoother, outliers, random search algorithm, subsampling method.ArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://eprints.kfupm.edu.sa/id/eprint/1460/1/d3_s13_p4_1569048499.pdf Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares. IEEEGCC 2007. enhttps://eprints.kfupm.edu.sa/id/eprint/1460/2020info:eu-repo/semantics/openAccessoai::14602019-11-01T13:27:03Z |
| spellingShingle | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares ALMutawa, Jaafar |
| status_str | publishedVersion |
| title | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares |
| title_full | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares |
| title_fullStr | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares |
| title_full_unstemmed | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares |
| title_short | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares |
| title_sort | Robust Kalman filter and smoother for errors-in-variables model with observation outliers based on Least-Trimmed-Squares |
| url | https://eprints.kfupm.edu.sa/id/eprint/1460/1/d3_s13_p4_1569048499.pdf |