Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization
The distribution of ranging errors of time of arrival techniques fails to satisfy zero means and equal variances. It is one of the major causations of position error of least square–based localization algorithm. The optimization of time of arrival ranging is defined as a nonlinear programming proble...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-10-01
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| Series: | International Journal of Distributed Sensor Networks |
| Online Access: | https://doi.org/10.1177/1550147717733424 |
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| _version_ | 1832559162025836544 |
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| author | Jian Sun Yongling Fu Jie He Shengguang Li Jian Fu |
| author_facet | Jian Sun Yongling Fu Jie He Shengguang Li Jian Fu |
| author_sort | Jian Sun |
| collection | DOAJ |
| description | The distribution of ranging errors of time of arrival techniques fails to satisfy zero means and equal variances. It is one of the major causations of position error of least square–based localization algorithm. The optimization of time of arrival ranging is defined as a nonlinear programming problem. Then, time of arrival ranging error model and geometric constraints are used to define the initial values, objective functions, and constraints of nonlinear programming, as well as to detect line of sight and nonline of sight. A three-dimensional localization algorithm of an indoor time of arrival–based positioning is proposed based on least square and the optimization algorithm. The performance of the ranging and localization accuracies is evaluated by simulation and field testing. Results show that the optimized ranging error successfully satisfies zero mean value and equal variances. Furthermore, the ranging and localization accuracies are significantly improved. |
| format | Article |
| id | doaj-art-a5769c8572e6453388617c1110628153 |
| institution | Kabale University |
| issn | 1550-1477 |
| language | English |
| publishDate | 2017-10-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Distributed Sensor Networks |
| spelling | doaj-art-a5769c8572e6453388617c11106281532025-02-03T01:30:42ZengWileyInternational Journal of Distributed Sensor Networks1550-14772017-10-011310.1177/1550147717733424Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localizationJian Sun0Yongling Fu1Jie He2Shengguang Li3Jian Fu4The F.R.I. of Ministry of Public Security, Beijing, ChinaSchool of Mechanical Engineering & Automation, Beihang University, Beijing, ChinaSchool of Computer and Communication Engineering, University of Science and Technology Beijing, Beijing, ChinaThe F.R.I. of Ministry of Public Security, Beijing, ChinaSchool of Mechanical Engineering & Automation, Beihang University, Beijing, ChinaThe distribution of ranging errors of time of arrival techniques fails to satisfy zero means and equal variances. It is one of the major causations of position error of least square–based localization algorithm. The optimization of time of arrival ranging is defined as a nonlinear programming problem. Then, time of arrival ranging error model and geometric constraints are used to define the initial values, objective functions, and constraints of nonlinear programming, as well as to detect line of sight and nonline of sight. A three-dimensional localization algorithm of an indoor time of arrival–based positioning is proposed based on least square and the optimization algorithm. The performance of the ranging and localization accuracies is evaluated by simulation and field testing. Results show that the optimized ranging error successfully satisfies zero mean value and equal variances. Furthermore, the ranging and localization accuracies are significantly improved.https://doi.org/10.1177/1550147717733424 |
| spellingShingle | Jian Sun Yongling Fu Jie He Shengguang Li Jian Fu Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization International Journal of Distributed Sensor Networks |
| title | Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization |
| title_full | Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization |
| title_fullStr | Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization |
| title_full_unstemmed | Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization |
| title_short | Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization |
| title_sort | nonlinear programming based ranging optimization for three dimensional indoor time of arrival localization |
| url | https://doi.org/10.1177/1550147717733424 |
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