Passive TDOA Emitter Localization Using Fast Hyperbolic Hough Transform

A fast Hough transform (HT)-based hyperbolic emitter localization system is proposed to process time difference of arrival (TDOA) measurements. The position-fixing problem is provided for cases where the source is known to be on a given plane (i.e., the elevation of the source is known), while the s...

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Main Authors: Gyula Simon, Ferenc Leitold
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/24/13301
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author Gyula Simon
Ferenc Leitold
author_facet Gyula Simon
Ferenc Leitold
author_sort Gyula Simon
collection DOAJ
description A fast Hough transform (HT)-based hyperbolic emitter localization system is proposed to process time difference of arrival (TDOA) measurements. The position-fixing problem is provided for cases where the source is known to be on a given plane (i.e., the elevation of the source is known), while the sensors can be deployed anywhere in the three-dimensional space. The proposed solution provides fast evaluation and guarantees the determination of the global optimum. Another favorable property of the proposed solution is that it is robust against faulty sensor measurements (outliers). A fast evaluation method involving the hyperbolic Hough transform is proposed, and the global convergence property of the algorithm is proven. The performance of the algorithm is compared to that of the least-squares solution, other HT-based solutions, and the theoretical limit (the Cramér–Rao lower bound), using simulations and real measurement examples.
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spelling doaj.art-82808a64cfbf4b4a90ac7cf2d3ba91ca2023-12-22T13:52:10ZengMDPI AGApplied Sciences2076-34172023-12-0113241330110.3390/app132413301Passive TDOA Emitter Localization Using Fast Hyperbolic Hough TransformGyula Simon0Ferenc Leitold1Alba Regia Technical Faculty, Óbuda University, 8000 Székesfehérvár, HungaryInstitute of Information Technology, University of Dunaújváros, 2400 Dunaújváros, HungaryA fast Hough transform (HT)-based hyperbolic emitter localization system is proposed to process time difference of arrival (TDOA) measurements. The position-fixing problem is provided for cases where the source is known to be on a given plane (i.e., the elevation of the source is known), while the sensors can be deployed anywhere in the three-dimensional space. The proposed solution provides fast evaluation and guarantees the determination of the global optimum. Another favorable property of the proposed solution is that it is robust against faulty sensor measurements (outliers). A fast evaluation method involving the hyperbolic Hough transform is proposed, and the global convergence property of the algorithm is proven. The performance of the algorithm is compared to that of the least-squares solution, other HT-based solutions, and the theoretical limit (the Cramér–Rao lower bound), using simulations and real measurement examples.https://www.mdpi.com/2076-3417/13/24/13301source localizationemitter localizationHough transformrobustness
spellingShingle Gyula Simon
Ferenc Leitold
Passive TDOA Emitter Localization Using Fast Hyperbolic Hough Transform
Applied Sciences
source localization
emitter localization
Hough transform
robustness
title Passive TDOA Emitter Localization Using Fast Hyperbolic Hough Transform
title_full Passive TDOA Emitter Localization Using Fast Hyperbolic Hough Transform
title_fullStr Passive TDOA Emitter Localization Using Fast Hyperbolic Hough Transform
title_full_unstemmed Passive TDOA Emitter Localization Using Fast Hyperbolic Hough Transform
title_short Passive TDOA Emitter Localization Using Fast Hyperbolic Hough Transform
title_sort passive tdoa emitter localization using fast hyperbolic hough transform
topic source localization
emitter localization
Hough transform
robustness
url https://www.mdpi.com/2076-3417/13/24/13301
work_keys_str_mv AT gyulasimon passivetdoaemitterlocalizationusingfasthyperbolichoughtransform
AT ferencleitold passivetdoaemitterlocalizationusingfasthyperbolichoughtransform