Periodic extension phase unwrapping for direction-of-arrival estimation using sparse undersampled arrays: Method and field validation.

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Title: Periodic extension phase unwrapping for direction-of-arrival estimation using sparse undersampled arrays: Method and field validation.
Authors: Ma, Wei1 (AUTHOR), Tian, Chuan2 (AUTHOR), Lyu, Chengcai2 (AUTHOR), Li, Jianlong1,3 (AUTHOR) jlli@zju.edu.cn
Source: Journal of the Acoustical Society of America. May2026, Vol. 159 Issue 5, p4752-4770. 19p.
Subjects: Direction of arrival estimation, Phase unwrapping (Digital image processing), Acoustic signal processing, Underwater acoustics, Multipath channels, Sensor arrays, Field research
Abstract: To address spatial aliasing and phase ambiguity in broadband direction-of-arrival (DOA) estimation for sparse, spatially undersampled underwater acoustic arrays, this paper presents periodic extension phase unwrapping (PEPU). PEPU first extends the wrapped cross-spectral phase within the physical bound imposed by the interelement-spacing-to-wavelength ratio, thereby constructing a candidate phase space containing the admissible ambiguity orders. It then extracts the dominant phase trajectory from this candidate space using local phase smoothness for initialization and cross-frequency continuity for trajectory selection. By screening candidate trajectories globally rather than linking neighboring points locally, PEPU suppresses isolated low-coherence anomalies caused by multipath propagation or interference nulls and delivers continuous absolute phase for a conventional DOA inversion stage. Results from two sea trials conducted in the South China Sea indicate that the method reduces the influence of anomalous frequency bins associated with multipath propagation, localized coherence collapse, and nonstationary disturbances, thereby improving the stability of broadband phase unwrapping for large-spacing arrays and providing reliable phase input for ambiguity-free DOA estimation. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Periodic extension phase unwrapping for direction-of-arrival estimation using sparse undersampled arrays: Method and field validation.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+the+Acoustical+Society+of+America%22">Journal of the Acoustical Society of America</searchLink>. May2026, Vol. 159 Issue 5, p4752-4770. 19p.
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  Data: <searchLink fieldCode="DE" term="%22Direction+of+arrival+estimation%22">Direction of arrival estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+unwrapping+%28Digital+image+processing%29%22">Phase unwrapping (Digital image processing)</searchLink><br /><searchLink fieldCode="DE" term="%22Acoustic+signal+processing%22">Acoustic signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Underwater+acoustics%22">Underwater acoustics</searchLink><br /><searchLink fieldCode="DE" term="%22Multipath+channels%22">Multipath channels</searchLink><br /><searchLink fieldCode="DE" term="%22Sensor+arrays%22">Sensor arrays</searchLink><br /><searchLink fieldCode="DE" term="%22Field+research%22">Field research</searchLink>
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  Data: To address spatial aliasing and phase ambiguity in broadband direction-of-arrival (DOA) estimation for sparse, spatially undersampled underwater acoustic arrays, this paper presents periodic extension phase unwrapping (PEPU). PEPU first extends the wrapped cross-spectral phase within the physical bound imposed by the interelement-spacing-to-wavelength ratio, thereby constructing a candidate phase space containing the admissible ambiguity orders. It then extracts the dominant phase trajectory from this candidate space using local phase smoothness for initialization and cross-frequency continuity for trajectory selection. By screening candidate trajectories globally rather than linking neighboring points locally, PEPU suppresses isolated low-coherence anomalies caused by multipath propagation or interference nulls and delivers continuous absolute phase for a conventional DOA inversion stage. Results from two sea trials conducted in the South China Sea indicate that the method reduces the influence of anomalous frequency bins associated with multipath propagation, localized coherence collapse, and nonstationary disturbances, thereby improving the stability of broadband phase unwrapping for large-spacing arrays and providing reliable phase input for ambiguity-free DOA estimation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1121/10.0043881
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      – Code: eng
        Text: English
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        PageCount: 19
        StartPage: 4752
    Subjects:
      – SubjectFull: Direction of arrival estimation
        Type: general
      – SubjectFull: Phase unwrapping (Digital image processing)
        Type: general
      – SubjectFull: Acoustic signal processing
        Type: general
      – SubjectFull: Underwater acoustics
        Type: general
      – SubjectFull: Multipath channels
        Type: general
      – SubjectFull: Sensor arrays
        Type: general
      – SubjectFull: Field research
        Type: general
    Titles:
      – TitleFull: Periodic extension phase unwrapping for direction-of-arrival estimation using sparse undersampled arrays: Method and field validation.
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            NameFull: Ma, Wei
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            NameFull: Tian, Chuan
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            NameFull: Lyu, Chengcai
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            NameFull: Li, Jianlong
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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