Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array

This paper proposes two novel phase-based algorithms for the passive localization of a single source with a uniform circular array (UCA) under the case of measuring phase ambiguity based on two phase difference observation models, which are defined as the unambiguous-relative phase observation model...

Full description

Bibliographic Details
Main Authors: Jinlong Xin, Guisheng Liao, Zhiwei Yang, Haoming Shen
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/18/8/2650
_version_ 1828394724638064640
author Jinlong Xin
Guisheng Liao
Zhiwei Yang
Haoming Shen
author_facet Jinlong Xin
Guisheng Liao
Zhiwei Yang
Haoming Shen
author_sort Jinlong Xin
collection DOAJ
description This paper proposes two novel phase-based algorithms for the passive localization of a single source with a uniform circular array (UCA) under the case of measuring phase ambiguity based on two phase difference observation models, which are defined as the unambiguous-relative phase observation model (UARPOM) and the ambiguous-relative phase observation model (ARPOM). First, by analyzing the varying regularity of the phase differences between the adjacent array elements of a UCA, the corresponding relationship between the phase differences and the azimuth and elevation angle of the signal is derived. Based on the two phase observation models, two corresponding novel algorithms, namely, the phase integral accumulation and the randomized Hough transform (RHT), are addressed to resolve the phase ambiguity. Then, by using the unambiguous phase differences, the closed-form estimates of the azimuth and elevation angles are determined via a least squares (LS) algorithm. Compared with the existing phase-based methods, the proposed algorithms improve the estimation accuracy. Furthermore, our proposed algorithms are more flexible for the selection of an array radius. Such an advantage could be applied more broadly in practice than the previous methods of ambiguity resolution. Simulation results are presented to verify the effectiveness of the proposed algorithm.
first_indexed 2024-12-10T08:00:41Z
format Article
id doaj.art-3fcdc7e45e5e4c6db4c702eaa5448892
institution Directory Open Access Journal
issn 1424-8220
language English
last_indexed 2024-12-10T08:00:41Z
publishDate 2018-08-01
publisher MDPI AG
record_format Article
series Sensors
spelling doaj.art-3fcdc7e45e5e4c6db4c702eaa54488922022-12-22T01:56:48ZengMDPI AGSensors1424-82202018-08-01188265010.3390/s18082650s18082650Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular ArrayJinlong Xin0Guisheng Liao1Zhiwei Yang2Haoming Shen3National Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaNational Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaNational Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaNational Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaThis paper proposes two novel phase-based algorithms for the passive localization of a single source with a uniform circular array (UCA) under the case of measuring phase ambiguity based on two phase difference observation models, which are defined as the unambiguous-relative phase observation model (UARPOM) and the ambiguous-relative phase observation model (ARPOM). First, by analyzing the varying regularity of the phase differences between the adjacent array elements of a UCA, the corresponding relationship between the phase differences and the azimuth and elevation angle of the signal is derived. Based on the two phase observation models, two corresponding novel algorithms, namely, the phase integral accumulation and the randomized Hough transform (RHT), are addressed to resolve the phase ambiguity. Then, by using the unambiguous phase differences, the closed-form estimates of the azimuth and elevation angles are determined via a least squares (LS) algorithm. Compared with the existing phase-based methods, the proposed algorithms improve the estimation accuracy. Furthermore, our proposed algorithms are more flexible for the selection of an array radius. Such an advantage could be applied more broadly in practice than the previous methods of ambiguity resolution. Simulation results are presented to verify the effectiveness of the proposed algorithm.http://www.mdpi.com/1424-8220/18/8/2650array signal processing2-D source localizationphase ambiguity resolutionuniform circular array
spellingShingle Jinlong Xin
Guisheng Liao
Zhiwei Yang
Haoming Shen
Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array
Sensors
array signal processing
2-D source localization
phase ambiguity resolution
uniform circular array
title Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array
title_full Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array
title_fullStr Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array
title_full_unstemmed Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array
title_short Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array
title_sort ambiguity resolution for passive 2 d source localization with a uniform circular array
topic array signal processing
2-D source localization
phase ambiguity resolution
uniform circular array
url http://www.mdpi.com/1424-8220/18/8/2650
work_keys_str_mv AT jinlongxin ambiguityresolutionforpassive2dsourcelocalizationwithauniformcirculararray
AT guishengliao ambiguityresolutionforpassive2dsourcelocalizationwithauniformcirculararray
AT zhiweiyang ambiguityresolutionforpassive2dsourcelocalizationwithauniformcirculararray
AT haomingshen ambiguityresolutionforpassive2dsourcelocalizationwithauniformcirculararray