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The noise level plays an important role in sonar efficacy. So we measure the ocean ambient noise during specific periods in KeeLung harbor and TsoYing harbor. There is one investigation for improving the technology of ambient noise measurement, which is the construction of an
autonomous acoustic logger system. It’s possible to increase the accuracy and reduce the resources by using this system. Otherwise, the prediction of ambient noise level is studied by the numerical method, which is Range-dependent Acoustic Modeling (RAM) developed by M. D. Collins in Naval Research Laboratory. RAM is based on parabolic equation that is used to calculate the noise field and get noise levels in several wind speeds.
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[1] R. J. Urick, Ambient Noise in the Sea, 3rd
ed. McGraw-Hill, New York (1993). [2] G. M. Wenz, “Acoustic Ambient Noise in
the Ocean: Spectra and Source,” J. Acoust. Soc. Am. 34(12), pp.1936-1956 (1962). [3] C. L. Piggot, “Ambient Sea Noise at Low
Frequencies in Shallow Water of the
Scotian Shelf,” J. Acoust. Soc. Am. 36(11), pp.2152-2163 (1964).
[4] D. H. Cato, “Ambient Sea Noise in Water
near Australia,” J. Acoust. Soc. Am. 60(2), pp.320-328 (1976).
[5] G. B. Deane, “Long Time-base
Observations of Surf Noise,” J. Acoust. Soc. Am. 107(2), pp.758-770 (2000). [6] W. A. Kuperman and F. Ingenito, “Spatial
Correlation of Surface Generated Noise in 1530 m/s 1500 m/s Q 1700 m/s 1.5 g/cm3 0.5 dB/λ
a Stratified Ocean,” J. Acoust. Soc. Am. 67(6), pp.1988-1996 (1980).
[7] W. A. Kuperman and M. C. Ferla, “A
Shallow Water Experiment to Determine the Source Spectrum Level of
Wind-Generated Noise,” J. Acoust. Soc. Am. 77(6), pp.2067-2073 (1985). [8] M. C. Ferla and W. A. Kuperman,
“Wind-Generated Noise in Shallow Water,” Rep. SR-79, SACLANT ASW Research Centre, La Spezia, Italy (1984) [9] J. S. Perkins, W. A. Kuperman, F. Ingenito,
L. T. Fialkowski, and J. Glattetre, “Modeling Ambient Noise in
Three-Dimensional Ocean Environments,” J. Acoust. Soc. Am. 93(2), pp.739-752 (1993).
[10] W. M. Carey and R. A. Wagstaff,
“Low-Frequency Noise Fields,” J. Acoust. Soc. Am. 80(5), pp.1523-1526 (1986). [11] W. M. Carey, R.B. Evans, J. A. Davis, and
G. Botseas, “Deep-Ocean Vertical Noise Directionality,” IEEE Journal of Oceanic Engineering 15(4), pp.324-334 (1990). [12] A. S. Burgess and D. J. Kewley,
“Wind-Generated Surface Noise Source Levels in Deep Water East of Australia,” J. Acoust. Soc. Am. 73, pp.201-210 (1983). [13] D. J. Kewley and D. G. Browning, and W.
D. Carey, “Low-Frequency Wind
Generated Ambient Noise Source Levels,” J. Acoust. Soc. Am. 88(4), pp.1894-1902 (1990).
[14] P. Tkalich and E. S. Chan, “Breaking
Wind Waves as a Source of Ambient Noise,” J. Acoust. Soc. Am. 112(2), pp.456-463 (2002). [15] ¨ © ª ¬« ¬ “$ % & ' l i / O P N > . / —× Í ” . Ð t2002u, [16] http://web.mit.edu/seagrant/advisory/passi veacoustics/paresearch.html
[17] T. B. Koay, John R. Potter, P. Venugopalan,
and T. E. Teck, “PANDA: Pop-up Ambient Noise Data Acquisition System, A Rapidly Deployable, Self-Recovering Shallow Water Acquisition Platform,” Sea
Technology, 44(2) Feb, pp.49-53. (2003). [18] D. E. Hollinberger and D. W. Bruder,
“Ambient Noise Data Logger Buoy,” IEEE Journal of Ocean Engineering, 15(4), pp.286-291 (1990). [19] ® ¯ ° — . Ð i 9 ± . / X ² ³ Ó ¹ t1998u, [20] ´ µ ¶ ! " . Ð i 9 ± . / X ² ³ Ó ¹ t2003u,
[21] R. H. Hardin and F. D. Tappert,
“Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations,” SIAM Rev., 15, p.423 (1973). [22] P. C. Etter, Underwater Acoustic Modeling,
2nd ed., chap 4, Chapman & Hall, London (1996).
[23] F. D. Tappert, “The parabolic
approximation method,” Wave
Propagation in Underwater Acoustics, pp.224-287, edited by J. B. Keller and J. S. Papadakis, Spring-Verlag, New York (1977).
[24] M. D. Collins, User’s Guide for RAM
Versions 1.0 and 1.0p, Naval Research Laboratory, Washington (1991)