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Source Depth Estimation Using a Horizontal Array by Matched-Mode Processing in the Frequency-Wavenumber Domain
EURASIP Journal on Advances in Signal Processing volume 2006, Article number: 065901 (2006)
Abstract
In shallow water environments, matched-field processing (MFP) and matched-mode processing (MMP) are proven techniques for doing source localization. In these environments, the acoustic field propagates at long range as depth-dependent modes. Given a knowledge of the modes, it is possible to estimate source depth. In MMP, the pressure field is typically sampled over depth with a vertical line array (VLA) in order to extract the mode amplitudes. In this paper, we focus on horizontal line arrays (HLA) as they are generally more practical for at sea applications. Considering an impulsive low-frequency source (1–100 Hz) in a shallow water environment (100–400 m), we propose an efficient method to estimate source depth by modal decomposition of the pressure field recorded on an HLA of sensors. Mode amplitudes are estimated using the frequency-wavenumber transform, which is the 2D Fourier transform of a time-distance section. We first study the robustness of the presented method against noise and against environmental mismatches on simulated data. Then, the method is applied both to at sea and laboratory data. We also show that the source depth estimation is drastically improved by incorporating the sign of the mode amplitudes.
References
Bucker HP: Use of calculated sound fields and matched-field detection to locate sound sources in shallow water. The Journal of the Acoustical Society of America 1976, 59(2):368–373. 10.1121/1.380872
Gingras DF: Robust broadband matched-field processing: performance in shallow water. IEEE Journal of Oceanic Engineering 1993, 18(3):253–264. 10.1109/JOE.1993.236363
Brienzo RK, Hodgkiss WS: Broadband matched-field processing. The Journal of the Acoustical Society of America 1993, 94(5):2821–2831. 10.1121/1.407339
Fawcett JA, Yeremy ML, Chapman NR: Matched-field source localization in a range-dependent environment. The Journal of the Acoustical Society of America 1996, 99(1):272–282. 10.1121/1.414538
Bogart CW, Yang TC: Source localization with horizontal arrays in shallow water: spatial sampling and effective aperture. The Journal of the Acoustical Society of America 1994, 96(3):1677–1686. 10.1121/1.410247
Baggeroer AB, Kuperman WA, Mikhalevsky PN: An overview of matched field methods in ocean acoustics. IEEE Journal of Oceanic Engineering 1993, 18(4):401–424. 10.1109/48.262292
Shang EC: Source depth estimation in waveguides. The Journal of the Acoustical Society of America 1985, 77(4):1413–1418. 10.1121/1.392034
Yang TC: A method of range and depth estimation by modal decomposition. The Journal of the Acoustical Society of America 1987, 82(5):1736–1745. 10.1121/1.395825
Bogart CW, Yang TC: Comparative performance of matched-mode and matched-field localization in a range-dependent environment. The Journal of the Acoustical Society of America 1992, 92(4, part 1):2051–2068. 10.1121/1.405257
Lynch JF, Rajan SD, Frisk GV: A comparison of broadband and narrow-band modal inversions for bottom geoacoustic properties at a site near Corpus Christi, Texas. The Journal of the Acoustical Society of America 1991, 89(2):648–665. 10.1121/1.400676
Potty GR, Miller JH, Lynch JF, Smith KB: Tomographic inversion for sediment parameters in shallow water. The Journal of the Acoustical Society of America 2000, 108(3):973–986. 10.1121/1.1286221
Frisk GV, Lynch JF: Shallow water waveguide characterization using the Hankel transform. The Journal of the Acoustical Society of America 1984 , 76(1):205–216. 10.1121/1.391098
Rajan SD, Lynch JF, Frisk GV: Perturbative inversion methods for obtaining bottom geoacoustic parameters in shallow water. The Journal of the Acoustical Society of America 1987, 82(3):998–1017. 10.1121/1.395300
Tolstoy I, Clay CS: Ocean Acoustics. AIP Press, New York, NY, USA; 1987.
Shang EC, Clay CS, Wang YY: Passive harmonic source ranging in waveguides by using mode filter. The Journal of the Acoustical Society of America 1985, 78(1):172–175. 10.1121/1.392554
Wilson GR, Koch RA, Vidmar PJ: Matched mode localization. The Journal of the Acoustical Society of America 1988, 84(1):310–320. 10.1121/1.396987
Nicolas B, Mars JI, Lacoume J-L: Geoacoustical parameters estimation with impulsive and boat-noise sources. IEEE Journal of Oceanic Engineering 2003, 28(3):494–501. 10.1109/JOE.2003.816687
Kessel RT: Extracting modal wave numbers from data collected in range-dependent environments. The Journal of the Acoustical Society of America 1998, 104(1):156–162. 10.1121/1.423265
Virieux J: P-SV wave propagation in heterogeneous media: velocity-stress finite-difference method. Geophysics 1986, 51(4):889–901. 10.1190/1.1442147
Mari J-L, Arens G, Chapellier D, Gaudiani P: Geophysics of Reservoir and Civil Engineering. Editions Technip, Paris, France; 1999.
Jesus SM: Normal-mode matching localization in shallow water: environmental and system effects. The Journal of the Acoustical Society of America 1991, 90(4):2034–2041. 10.1121/1.401631
Collison NE, Dosso SE: Regularized matched-mode processing for source localization. The Journal of the Acoustical Society of America 2000, 107(6):3089–3100. 10.1121/1.429338
Nicolas B: Identification du milieu océanique et localisation de source en ultra basse fréquence (1–100 Hz), Ph.D. dissertation. INPG, Grenoble, France; 2004.
Weast RC: Handbook of Chemistry and Physics. CRC Press, Boca Raton, Fla, USA; 1984.
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Nicolas, B., Mars, J.I. & Lacoume, JL. Source Depth Estimation Using a Horizontal Array by Matched-Mode Processing in the Frequency-Wavenumber Domain. EURASIP J. Adv. Signal Process. 2006, 065901 (2006). https://doi.org/10.1155/ASP/2006/65901
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DOI: https://doi.org/10.1155/ASP/2006/65901