Page 28 - 应用声学2019年第4期

488 2019 年 7 月

样本、环境不确定和分类/预测结果的可解释性问 Ultrasonics, Ferroelectrics, and Frequency Control, 1992,
题目前尚鲜有报道。但是，随着深度学习方法的普 39(5): 567–578.
[13] 王鹏宇. 线性信号系统与信号不变量: 光度变换微分与声传播
及进入水声行业的门槛会变低，给水声探测与辨识
不变量 [D]. 青岛: 中国海洋大学, 2019.
应用乃至水声行业带来了新的机遇与挑战。然而， [14] Chuprov S D. Interference structure of a sound field in
作者认为：水声物理基础研究的重要性越显重要，水 a layered ocean[M]//Brekhovskikh L M, Andreevoi L B.
Acoustics of the ocean: current status. Moscow, 1982:
声物理是实现可解释、可信深度学习应用的关键。 71–79.
本文主要总结了作者及合作者近十年的研究 [15] Grachev G A. Theory of acoustic field invariants in lay-
结果及其密切相关的国内外研究。由于作者阅读范 ered waveguides[J]. Acoustical Physics, 1993, 39: 33–35.
[16] Zhao Z D, Wu J R, Shang E C. How the thermocline
围和知识所限，难免有遗漏和疏忽，敬请读者谅解。 affects the value of the waveguide invariant in a shallow-
water waveguide[J]. Journal of the Acoustical Society of
America, 2015, 138(1): 223–231.
参 考 文 献 [17] Zhang R H, Su X X, Li F. Improvement of low-frequency
acoustic spatial correlation by frequency-shift compensa-
tion[J]. Chinese Physics Letters, 2006, 23(6): 1838–1841.
[1] 李启虎. 进入 21 世纪的声纳技术 [J]. 应用声学, 2002, 21(1): [18] Wang N. Dispersionless transform and potential applica-
13–18. tions in ocean acoustics[C]. Presentation in the 9th West-
Li Qihu. Sonar technology enters the 21st century[J]. Ap- ern Pacific Acoustics Conference, 2009.
plied Acoustics, 2002, 21(1): 13–18. [19] Gao D, Wang N, Wang H. A dedispersion transform for
[2] Bucker H P. Use of calculated sound fields and matched sound propagation in shallow water waveguide[J]. Journal
field detection to locate sound sources in shallow water[J]. of Computational Acoustics, 2010, 18(3): 245–257.
Journal of the Acoustical Society of America, 1976, 59(2): [20] Touzé G L, Nicolas B, Mars J I, et al. Matched represen-
368–373. tations and filters for guided waves[J]. IEEE Transactions
[3] 何怡, 张仁和. WKBZ 简正波理论应用于匹配场定位 [J]. 自 on Signal Processing, 2009, 57(5): 1783–1795.
然科学进展, 1994, 4(1): 118–122. [21] Zhou S H, Qi Y B, Ren Y. Frequency invariability of
[4] 马远良. 匹配场处理 ——水声物理学与信号处理的结合 [J]. acoustic field and passive source range estimation in shal-
电子科技导报, 1996(4): 9–12. low water[J]. Science China: Physics, Mechanics and As-
[5] Baggeroer A B, Kuperman W A, Mikhalevsky P N. An tronomy, 2014, 57(2): 225–232.
overview of matched field methods in ocean acoustics[J]. [22] Niu H, Zhang R, Li Z. Theoretical analysis of warping op-
IEEE Oceanic Engineering, 1993, 18(4): 401–424. erators for non-ideal shallow water waveguides[J]. Journal
[6] Wolf S N. Experimental determination of modal depth of the Acoustical Society of America, 2014, 136(1): 53–65.
functions from covariance matrix eigenfunction analy- [23] 翟林, 高大治, 王好忠, 等. 基于波导不变量的双线谱测距多
sis[J]. Journal of the Acoustical Society of America, 1987, 值性机理研究 [C]. 2016 年全国声学学术会议, 2016.
81(Sl): S64. [24] Baraniuk R, Jones D. Unitary equivalence: a new twist
[7] Wolf S N, Cooper D K, Orchard B J. Environmentally on signal processing[J]. IEEE Transactions on Signal Pro-
adaptive signal processing in shallow water[C]. Oceans ’93, cessing, 1995, 43(9): 2269–2282.
Engineering in Harmony with Ocean Proceedings IEEE, [25] D’Spain G L, Kuperman W A. Application of waveguide
Piscataway, NJ, 1993. invariants to analysis of spectrograms from shallow water
[8] Hursky P, Hodgkiss W S, Kuperman W A. Extracting environments that vary in range and azimuth[J]. Jour-
modal structure from vertical array ambient noise data nal of the Acoustical Society of America, 1999, 106(5):
in shallow water[J]. Journal of the Acoustical Society of 2454–2468.
America, 1995, 98(5): 2971. [26] Rouseff D. Effect of shallow water internal waves on
[9] Yang T C. Data-based matched-mode source localization ocean acoustic striation patterns[J]. Waves Random Me-
for a moving source[J]. Journal of the Acoustical Society dia, 2001, 11(4): 377–393.
of America, 2014, 135(3): 1218–1230. [27] Song W H, Wang N, Gao D, et al. The influence of mode
[10] Neilsen T B, Westwood E K. Extraction of acoustic nor- coupling on waveguide invariant[J]. Journal of the Acous-
mal mode depth functions using vertical line array data[J]. tical Society of America, 2017, 142(4): 1848–1857.
Journal of the Acoustical Society of America, 2002, 111(2): [28] Wapenaar K, Thorbecke J, van der Neut J, et
748–756. al. Marchenko imaging[J]. Geophysics, 2014, 79(3):
[11] Fink M, Prada C, Wu F, et al. Self-focusing in inhomoge- WA39–WA57.
nous media with time reversal acoustic mirrors[C]. IEEE [29] van der Neut J, Wapenaar K, Thorbecke J, et al. An illus-
Ultrasonics Symposium, 1989, 2: 681–686. tration of adaptive Marchenko imaging[J]. Leading Edge,
[12] Wu F, Thomas J L, Fink M. Time reversal of ultrasonic 2015, 34(6): 818–822.
fields II: experimental results[J]. IEEE Transactions on [30] Davydenko M, Verschuur D J. Full-wavefield migration-