Robust Localization Method Based on Non-Parametric Probability Density Estimation

This paper presents robust localization techniques that calculate location using distance observations. In enclosed and heavily populated urban environments, the positive measurement bias introduced by a non-line-of-sight signal can have a considerable adverse impact on estimation performance. There...

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Main Authors: Chee-Hyun Park, Joon-Hyuk Chang
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10154033/
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author Chee-Hyun Park
Joon-Hyuk Chang
author_facet Chee-Hyun Park
Joon-Hyuk Chang
author_sort Chee-Hyun Park
collection DOAJ
description This paper presents robust localization techniques that calculate location using distance observations. In enclosed and heavily populated urban environments, the positive measurement bias introduced by a non-line-of-sight signal can have a considerable adverse impact on estimation performance. Therefore, to mitigate the detrimental effects of the multipath effect caused by the non-line-of-sight signal, robust localization techniques are considered. In particular, the <inline-formula> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula>-nearest neighbor (KNN)-based and orthogonal series (OSERIES)-based localization approaches are proposed. The difference from conventional probability density estimation (PDF) estimation methods is that the proposed methods use the first-peak information of the estimated PDF to obtain the actual distance information, not just the PDF shape estimation. More specifically, the proposed methods use the mean calculated from observations selected by statistical testing because the mean estimate generally outperforms the mode estimate. In addition, the Rao test in the context of the two-mode Gaussian mixture model (GMM) is demonstrated to be uniformly most powerful (UMP) test. Furthermore, the conditional variance of the range measurement is derived. Also, the proposed techniques outperforms that of competing algorithms in terms of localization accuracy.
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spelling doaj.art-cb1bb3af1aca4b2e9150d8897acd71372023-06-23T23:00:44ZengIEEEIEEE Access2169-35362023-01-0111614686148010.1109/ACCESS.2023.328714010154033Robust Localization Method Based on Non-Parametric Probability Density EstimationChee-Hyun Park0https://orcid.org/0000-0002-9739-5277Joon-Hyuk Chang1https://orcid.org/0000-0003-2610-2323Department of Electronics Engineering, Hanyang University, Seoul, South KoreaDepartment of Electronics Engineering, Hanyang University, Seoul, South KoreaThis paper presents robust localization techniques that calculate location using distance observations. In enclosed and heavily populated urban environments, the positive measurement bias introduced by a non-line-of-sight signal can have a considerable adverse impact on estimation performance. Therefore, to mitigate the detrimental effects of the multipath effect caused by the non-line-of-sight signal, robust localization techniques are considered. In particular, the <inline-formula> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula>-nearest neighbor (KNN)-based and orthogonal series (OSERIES)-based localization approaches are proposed. The difference from conventional probability density estimation (PDF) estimation methods is that the proposed methods use the first-peak information of the estimated PDF to obtain the actual distance information, not just the PDF shape estimation. More specifically, the proposed methods use the mean calculated from observations selected by statistical testing because the mean estimate generally outperforms the mode estimate. In addition, the Rao test in the context of the two-mode Gaussian mixture model (GMM) is demonstrated to be uniformly most powerful (UMP) test. Furthermore, the conditional variance of the range measurement is derived. Also, the proposed techniques outperforms that of competing algorithms in terms of localization accuracy.https://ieeexplore.ieee.org/document/10154033/First peakGaussian mixture modelk-nearest neighborlocalizationnon-line-of-sightorthogonal series
spellingShingle Chee-Hyun Park
Joon-Hyuk Chang
Robust Localization Method Based on Non-Parametric Probability Density Estimation
IEEE Access
First peak
Gaussian mixture model
k-nearest neighbor
localization
non-line-of-sight
orthogonal series
title Robust Localization Method Based on Non-Parametric Probability Density Estimation
title_full Robust Localization Method Based on Non-Parametric Probability Density Estimation
title_fullStr Robust Localization Method Based on Non-Parametric Probability Density Estimation
title_full_unstemmed Robust Localization Method Based on Non-Parametric Probability Density Estimation
title_short Robust Localization Method Based on Non-Parametric Probability Density Estimation
title_sort robust localization method based on non parametric probability density estimation
topic First peak
Gaussian mixture model
k-nearest neighbor
localization
non-line-of-sight
orthogonal series
url https://ieeexplore.ieee.org/document/10154033/
work_keys_str_mv AT cheehyunpark robustlocalizationmethodbasedonnonparametricprobabilitydensityestimation
AT joonhyukchang robustlocalizationmethodbasedonnonparametricprobabilitydensityestimation