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...
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MDPI AG
2018-08-01
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Online Access: | http://www.mdpi.com/1424-8220/18/8/2650 |
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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. |
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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 |
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