Localization of multiple uncorrelated sources using matched field processing with multiple tilt constraints

Donghyeon Kim; Gihoon Byun

doi:10.7776/ASK.2025.44.4.416

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2025 Vol.44, Issue 4 Preview Page

Research Article

Localization of multiple uncorrelated sources using matched field processing with multiple tilt constraints 다중 기울기 제약조건을 가진 정합장 처리를 이용한 비상관성 다중 음원 위치 추정

31 July 2025. pp. 416-427

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Abstract

Matched Field Processing (MFP), a widely used technique for source localization, is known to be highly sensitive to even small deviations in array tilt (e.g., > 2°). To address this issue, a Multiple Tilt Constraints (MTC)-based MFP approach was recently proposed. In this study, we extend the application of MTC-based MFP to uncorrelated multiple-source scenarios involving differing array tilt conditions, including cases with opposite tilts, and investigate its feasibility for simultaneous localization of multiple uncorrelated sources. Furthermore, to mitigate the elevated sidelobe levels often encountered in such scenarios, we incorporate Singular Value Decomposition (SVD) into the MTC-based MFP framework. The proposed method is validated using ship-radiated noise data collected during the Shallow-water Acoustic Variability EXperiment 2015 (SAVEX15). To simulate an extreme multiple-source scenario, ship noise from two different time periods with opposite array tilts is synthetically combined. Analysis of the experimental data demonstrates that conventional MTC-based MFP exhibits increased ambiguity due to enhanced sidelobes in multi-source cases. In contrast, the SVD-enhanced MTC-based MFP effectively suppresses sidelobes, achieving robust and accurate localization of multiple sources, even under conditions of opposing array tilts.

Keywords

Matched Field Processing (MFP)

Localization, Array tilt

Multiple Tilt Constraints (MTC)

Singular Value Decomposition (SVD)

정합장 처리는 음원 위치 추정을 위한 대표적인 기법으로 널리 활용되고 있으나, 배열 기울기의 미세한 변화(e.g., > 2°)에도 매우 민감하다는 한계를 갖는다. 이러한 문제를 해결하기 위해 최근에는 다중 기울기 제약조건(Multiple Tilt Constraints, MTC)을 기반으로 한 정합장 처리 기법이 제안된 바 있다. 본 연구에서는 MTC 기반 정합장 처리 기법을 서로 다른 배열 기울기, 특히 정반대의 기울기를 가지는 비상관성 다중 음원 시나리오에 확장 적용함으로써, 비상관성 다중 음원의 동시 위치 추정 가능성을 분석하였다. 또한, 이러한 시나리오에서 나타날 수 있는 부엽 수준의 상승 문제를 완화하기 위해, MTC 기반 처리 구조에 특이값 분해(Singular Value Decomposition, SVD)를 접목한 기법을 제안하였다. 제안된 기법은 2015년 동중국해에서 수행된 해상 실험인 Shallow-water Acoustic Variability EXperiment 2015(SAVEX15)에서 수집된 선박 방사소음 데이터를 활용하여 검증되었다. 극단적인 다중 음원 환경을 모의하기 위해, 서로 반대 기울기를 갖는 두 개의 시간대 데이터를 합성하였다. 기존 MTC 기반 정합장 처리 기법은 다중 음원 환경에서 부엽의 증가로 인해 모호성이 확대되는 경향을 보인 반면, SVD 기반으로 확장된 제안 기법은 부엽 억제 성능을 크게 향상시켜 정반대 배열 기울기를 갖는 음원에 대해서도 정확하고 안정적인 위치 추정을 가능하게 하였다.

키워드

정합장 처리

위치 추정

배열 기울기

다중 기울기 제약조건

특이값 분해

References

H. P. Bucker, “Use of calculated sound fields and matched-field detection to locate sound sources in shallow water,” J. Acoust. Soc. Am. 59, 368-373 (1976).

10.1121/1.380872

A. B. Baggeroer, W. A. Kuperman, and P. N. Mikhalevsky, “An overview of matched field methods in ocean acoustics,” IEEE J. Oceanic Eng. 18, 401-424 (1993).

10.1109/48.262292

M. D. Collins and W. A. Kuperman, “Focalization: Environmental focusing and source localization,” J. Acoust. Soc. Am. 90, 1410-1422 (1991).

10.1121/1.401933

C. Debever and W. A. Kuperman, “Robust matched-field processing using a coherent broadband white noise constraint processor,” J. Acoust. Soc. Am. 122, 1979-1986 (2007).

10.1121/1.2769830

K. C. Shin and J. S. Kim, “Matched field processing with contrast maximization,” J. Acoust. Soc. Am. 118, 1526-1533 (2005).

10.1121/1.1993131

W. Mantzel, J. Romberg, and K. G. Sabra, “Compressive matched-field processing,” J. Acoust. Soc. Am. 132, 90-102 (2012).

10.1121/1.4728224

G. Zhu, Y. Wang, and Q. Wang, “Matched field processing based on Bayesian estimation,” Sensors 20, 1374 (2020).

10.3390/s2005137432131533PMC7085796

F. Hunter Akins and W. A. Kuperman, “Range-coherent matched field processing for low signal-to-noise ratio localization,” J. Acoust. Soc. Am. 150, 270-280 (2021).

10.1121/10.0005586

P. Hursky, W. S. Hodgkiss, and W. A. Kuperman, “Matched field processing with data-derived modes,” J. Acoust. Soc. Am. 109, 1355-1366 (2001).

10.1121/1.1353592

K. L. Gemba, S. Nannuru, P. Gerstoft, and W. S. Hodgkiss, “Multi-frequency sparse Bayesian learning for robust matched field processing,” J. Acoust. Soc. Am. 141, 3411-3420 (2017).

10.1121/1.498346728599515PMC5438309

G. Byun, F. Hunter Akins, K. L. Gemba, H. C. Song, and W. A. Kuperman, “Multiple constraint matched field processing tolerant to array tilt mismatch,” J. Acoust. Soc. Am. 147, 1231-1238 (2020).

10.1121/10.0000784

G. Byun, H. C. Song, and J. S. Kim, “Performance comparisons of array invariant and matched field processing using broadband ship noise and a tilted vertical array,” J. Acoust. Soc. Am. 144, 3067-3074 (2018).

10.1121/1.5080603

H. C. Song and G. Byun, “An overview of array invariant for source-range estimation in shallow water,” J. Acoust. Soc. Am. 151, 2336-2351 (2022).

10.1121/10.0009828

H. C. Song, S. M. Kim, B. N. Kim, and S. Nam, “Shallow-water acoustic variability experiment 2015 (SAVEX15) in the northern East China Sea,” J. Acoust. Soc. Am. 140, 3012-3012 (2016).

10.1121/1.4969343

J. L. Krolik, “Matched-field minimum variance beamforming in a random ocean channel,” J. Acoust. Soc. Am. 92, 1408-1419 (1992).

10.1121/1.403935

S. Kim, W. A. Kuperman, W. S. Hodgkiss, H. C. Song, G. F. Edelmann, and T. Akal, “Robust time reversal focusing in the ocean,” J. Acoust. Soc. Am. 114, 145-157 (2003).

10.1121/1.1582450

G. Byun, H. C. Song, and J. S. Kim, “Virtual source array-based multiple time-reversal focusing,” Appl. Sci. 8, 99 (2018).

10.3390/app8010099

H. Cox, R. M. Zeskind, and M. M. Owen, “Robust adaptive beamforming,” IEEE Trans. Acoust. Speech Sign. Process. 10, 1365-1376 (1987).

10.1109/TASSP.1987.1165054

N. O. Booth, A. T. Abawi, P. W. Schey, and W. S. Hodgkiss, “Detectability of low-level broad-band signals using adaptive matched-field processing with vertical aperture arrays,” IEEE J. Ocean. Eng. 25, 296-313 (2000).

10.1109/48.855260

H. Cox and R. Pitre, “Robust DMR and multi-rate adaptive beamforming,” Proc. IEEE ACSSC, 920-924 (1997).

10.1109/ACSSC.1997.680577

J. N. Maksym, “A robust formulation of an optimum cross‐spectral beamformer for line arrays,” J. Acoust. Soc. Am. 65, 971-975 (1979).

10.1121/1.382603

K. L. Gemba, W. S. Hodgkiss, and P. Gerstoft, “Adaptive and compressive matched field processing,” J. Acoust. Soc. Am. 141, 92-103 (2017).

10.1121/1.4973528

G. Byun, C. Cho, H. C. Song, J. S. Kim, S. H. Byun, “Array invariant-based calibration of array tilt using a source of opportunity,” J. Acoust. Soc. Am. 143, 1318-1325 (2018).

10.1121/1.5025844

H. C. Song, Performance bounds for passive localization of a moving source for ocean acoustics, (Ph.D. thesis, MIT, 1990).

10.1121/1.2028938

G. L. D’Spain, J. J. Murray, W. S. Hodgkiss, N. O. Booth, and P. W. Schey, “Mirages in shallow water matched field processing,” J. Acoust. Soc. Am. 105, 3245-3265 (1999).

10.1121/1.424653

C. H. Harrison and M. Siderius, “Effective parameters for matched field geoacoustic inversion in range-dependent environments,” IEEE J. Ocean. Eng. 28, 432-445 (2003).

10.1109/JOE.2003.816693

D. Kim, G. Byun, D. Kim, and J. S. Kim, “The relationship between the array invariant-based ranging and the effective range in a weakly range-dependent environment,” J. Acoust. Soc. Kr. 43, 455-465 (2024).

D. R. Del Balzo, C. Feuillade, and M. M. Rowe, “Effects of water‐depth mismatch on matched‐field localization in shallow water,” J. Acoust. Soc. Am. 83, 2180-2185 (1988).

10.1121/1.396346

Information

Publisher :The Acoustical Society of Korea
Publisher(Ko) :한국음향학회
Journal Title :The Journal of the Acoustical Society of Korea
Journal Title(Ko) :한국음향학회지
Volume : 44
No :4
Pages :416-427
Received Date : 2025-05-17
Accepted Date : 2025-07-01
DOI :https://doi.org/10.7776/ASK.2025.44.4.416

The Journal of the Acoustical Society of KoreaISSN:1225-4428(Print) 2287-3775(Online)한국음향학회

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