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An intrusive Gibbs sampling method for implementing the nonsynchronous measurements of microphone array.

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Title: An intrusive Gibbs sampling method for implementing the nonsynchronous measurements of microphone array.
Authors: Xu, Lingji1,2 (AUTHOR), Zeng, Fanchang1,2 (AUTHOR), Antoni, Jerome3 (AUTHOR), Yu, Liang4,5 (AUTHOR) liang.yu@nwpu.edu.cn, Wang, Ran6 (AUTHOR), Li, Zhenglin1,2 (AUTHOR), Jiang, Weikang7 (AUTHOR)
Source: Journal of the Acoustical Society of America. Feb2025, Vol. 157 Issue 2, p1428-1447. 20p.
Subjects: Gibbs sampling, Movement sequences, Microphone arrays, Markov processes, Signal-to-noise ratio
Abstract: The nonsynchronous measurements of microphone array are a powerful method for achieving large array or high microphone density by scanning the object from a sequential movement of a prototype array. It has attracted great interest recently because it is beyond the fundamental limitation of working frequency that is determined by the aperture and microphone density of an array. A crucial problem of nonsynchronous measurements is to recover the missing phase relation information between consecutive positions. The problem in traditional solution is generally attributed to the matrix completion problem of a block diagonal spectral matrix. In this paper, the issue has been investigated as a problem of solving a system of equations in the Bayesian formalism. The intrusive Gibbs sampling method is proposed to reconstruct the source in the equations. In the numerical simulations, convergence diagnosis of the Markov chain is illustrated through three approaches. Acoustical source reconstruction error is also discussed with respect to the frequency range, signal-to-noise ratio, measurement distances, and shift distance of sequential movement. The proposed method is exhibited to return similar results with the expectation maximization algorithm of nonsynchronous measurements. The effectiveness of the proposed method is also validated by experiments in a semi-anechoic chamber. [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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 183389038
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Label: Title
  Group: Ti
  Data: An intrusive Gibbs sampling method for implementing the nonsynchronous measurements of microphone array.
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  Data: <searchLink fieldCode="AR" term="%22Xu%2C+Lingji%22">Xu, Lingji</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zeng%2C+Fanchang%22">Zeng, Fanchang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Antoni%2C+Jerome%22">Antoni, Jerome</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yu%2C+Liang%22">Yu, Liang</searchLink><relatesTo>4,5</relatesTo> (AUTHOR)<i> liang.yu@nwpu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Ran%22">Wang, Ran</searchLink><relatesTo>6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Zhenglin%22">Li, Zhenglin</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jiang%2C+Weikang%22">Jiang, Weikang</searchLink><relatesTo>7</relatesTo> (AUTHOR)
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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>. Feb2025, Vol. 157 Issue 2, p1428-1447. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Gibbs+sampling%22">Gibbs sampling</searchLink><br /><searchLink fieldCode="DE" term="%22Movement+sequences%22">Movement sequences</searchLink><br /><searchLink fieldCode="DE" term="%22Microphone+arrays%22">Microphone arrays</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br /><searchLink fieldCode="DE" term="%22Signal-to-noise+ratio%22">Signal-to-noise ratio</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The nonsynchronous measurements of microphone array are a powerful method for achieving large array or high microphone density by scanning the object from a sequential movement of a prototype array. It has attracted great interest recently because it is beyond the fundamental limitation of working frequency that is determined by the aperture and microphone density of an array. A crucial problem of nonsynchronous measurements is to recover the missing phase relation information between consecutive positions. The problem in traditional solution is generally attributed to the matrix completion problem of a block diagonal spectral matrix. In this paper, the issue has been investigated as a problem of solving a system of equations in the Bayesian formalism. The intrusive Gibbs sampling method is proposed to reconstruct the source in the equations. In the numerical simulations, convergence diagnosis of the Markov chain is illustrated through three approaches. Acoustical source reconstruction error is also discussed with respect to the frequency range, signal-to-noise ratio, measurement distances, and shift distance of sequential movement. The proposed method is exhibited to return similar results with the expectation maximization algorithm of nonsynchronous measurements. The effectiveness of the proposed method is also validated by experiments in a semi-anechoic chamber. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  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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        Value: 10.1121/10.0035806
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      – Code: eng
        Text: English
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        PageCount: 20
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        Type: general
      – SubjectFull: Movement sequences
        Type: general
      – SubjectFull: Microphone arrays
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      – SubjectFull: Markov processes
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      – SubjectFull: Signal-to-noise ratio
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      – TitleFull: An intrusive Gibbs sampling method for implementing the nonsynchronous measurements of microphone array.
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            NameFull: Xu, Lingji
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              Text: Feb2025
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              Y: 2025
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