水下目标几何声散射回波在分数阶傅里叶变换域中的特性

李秀坤; 孟祥夏; 夏峙

doi:10.7498/aps.64.064302

摘要

水下目标散射回波在时域、频域混叠在一起, 而且受声波入射角度的影响严重, 在不同的入射角度下表现出很大的差异, 需要建立全方位入射角度下回波分量的理论分析模型. 本文推导了目标几何声散射分量在分数阶傅里叶变换域中随入射角度变化的解析表达式; 确定了目标几何声散射回波分量在最佳分数阶傅里叶变换域中的全方位模型, 从理论上证明了目标回波的几何特征形式; 给出了离散分数阶傅里叶变换对声散射分量的分辨能力和计算精度与发射信号带宽和观测时间之间的关系. 实验数据处理表明, 建立的分数阶傅里叶变换域的全方位模型与目标几何特征是一致的, 对未知入射角度下的目标识别提供了理论依据.

关键词:

Abstract

The components of the underwater target scattering waves alias together in time domain and frequency domain realistically. They are affected by the incident angle, and show great differences under different angles. It is necessary to build an analytical model of scattering waves under all-direction incident angles theoretically. The analytical expressions of geometrical scattering components changing with the incident angle in fractional Fourier transform domain are deduced in this paper. The all-direction model in optimal fractional Fourier transform domain of the scattering waves is built. Based on this, the geometrical feature of underwater target echo is provided. In addition, the relationships between the resolution and the bandwidth of transmitted signal, and between the calculation accuracy and the length of observational signal are given. By processing experimental data, it is indicated that the model in fractional Fourier transform domain is in accordance with the characteristics of underwater target. It can provide a theoretical basis for target recognition under unknown incident angle.

Keywords:

作者及机构信息

1.
哈尔滨工程大学, 水声技术重点实验室, 哈尔滨 150001;

2.
哈尔滨工程大学水声工程学院, 哈尔滨 150001

基金项目: 国家自然科学基金(批准号: 51279033)和黑龙江省自然科学基金(批准号: F201346)资助的课题.

Authors and contacts

1.
Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China;

2.
College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51279033) and the Natural Science Foundation of Heilongjiang Province, China (Grant No. F201346).

参考文献

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[2]	Fan J 2001 Ph. D. Dissertation (Shanghai: Shanghai Jiaotong University) (in Chinese) [范军 2001 博士学位论文(上海: 上海交通大学)]
[3]	Fan W, Zheng G Y, Fan J 2010 Acta Acustica 35 419 (in Chinese) [范威, 郑国垠, 范军 2010 声学学报 35 419]
[4]	Pan A, Fan J, Wang B 2013 J. Acoust. Soc. Am. 134 3452
[5]	Pan A, Fan J, Zhuo L K 2013 Acta Phys. Sin. 62 024301 (in Chinese) [潘安, 范军, 卓琳凯 2013 物理学报 62 024301]
[6]	Li L, Wen J H, Cai L, Zhao H G, Wen X S 2013 Chin. Phys. B 22 014301
[7]	Williams K L, Kargl S G, Thorsos E I, Burnett D S, Lopes J L, Zampolli M, Marston P L 2010 J. Acoust. Soc. Am. 127 3356
[8]	Waters Z J, Simpson H J, Sarkissian A, Dey S, Houston B H, Bucaro J A, Yoder T J 2012 J. Acoust. Soc. Am. 132 3076
[9]	Décultot D, Liétard R, Maze G 2010 J. Acoust. Soc. Am. 127 1328
[10]	Chen Y F, Li G J, Wang Z S, Zhang M W, Jia B 2013 Acta Phys. Sin. 62 084302 (in Chinese) [陈云飞, 李桂娟, 王振山, 张明伟, 贾兵 2013 物理学报 62 084302]
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[13]	Ou H H, Au W W L, Syrmos V L 2010 Oceans 2010 MTS/IEEE Seattle Seattle, USA, September 20-23, 2010 p1
[14]	Anderson S D, Sabra K G, Zakharia M E, Sessarego J P 2012 J. Acoust. Soc. Am. 131 164
[15]	Laaboubi M, Aassif E, Latif R, Dliou A, Maze G, Décultot D 2013 Aerosp. Sci. Technal. 27 216
[16]	Tao R, Li X M, Li Y L, Wang Y 2009 IEEE Trans. Signal Process. 57 2852
[17]	Deng B, Wang X, Tao R, Liu X Z 2012 Acta Armament. 33 764 (in Chinese) [邓兵, 王旭, 陶然, 刘贤忠 2012 兵工学报 33 764]
[18]	Ozaktas H M, Kutay M A, Zalevsky Z 2001 The Fractional Fourier Transform with Applications in Optics and Signal Processing (New York: Wiley) pp1-5, 118-122
[19]	Tao R, Deng B, Wang Y 2006 Sci. China: Inform. Sci. 49 1
[20]	Sejdić E, Djurović I, Stanković L 2011 Signal Process. 91 1351
[21]	Chen Y, Zhao H C, Chen S, Zhang S N 2014 Acta Phys. Sin. 63 118403 (in Chinese) [陈勇, 赵惠昌, 陈思, 张淑宁 2014 物理学报 63 118403]
[22]	Tang W L 1994 Acta Acustica 19 92 (in Chinese) [汤渭霖 1994 声学学报 19 92]
[23]	Tang W L, Chen D Z 1988 Acta Acustica 13 29 (in Chinese) [汤渭霖, 陈德智 1988 声学学报 13 29]
[24]	Almeida L B 1994 IEEE Trans. Signal Process. 42 3084
[25]	Liu F, Xu H F, Tao R, Wang Y 2012 Sci. China: Inform. Sci. 55 1301
[26]	Ozaktas H M, Arikan O, Kutay M A, Bozdagi G 1996 IEEE Trans. Signal Process. 44 2141
[27]	Xu H F, Liu F 2010 Proceedings of the 2010 IEEE International Conference on Information and Automation Harbin, China, June 20-23, 2010 p408

施引文献

[1]	Li X K, Yang S E 2001 J. Harbin Eng. Univ. 22 25 (in Chinese) [李秀坤, 杨士莪 2001 哈尔滨工程大学学报 22 25]
[2]	Fan J 2001 Ph. D. Dissertation (Shanghai: Shanghai Jiaotong University) (in Chinese) [范军 2001 博士学位论文(上海: 上海交通大学)]
[3]	Fan W, Zheng G Y, Fan J 2010 Acta Acustica 35 419 (in Chinese) [范威, 郑国垠, 范军 2010 声学学报 35 419]
[4]	Pan A, Fan J, Wang B 2013 J. Acoust. Soc. Am. 134 3452
[5]	Pan A, Fan J, Zhuo L K 2013 Acta Phys. Sin. 62 024301 (in Chinese) [潘安, 范军, 卓琳凯 2013 物理学报 62 024301]
[6]	Li L, Wen J H, Cai L, Zhao H G, Wen X S 2013 Chin. Phys. B 22 014301
[7]	Williams K L, Kargl S G, Thorsos E I, Burnett D S, Lopes J L, Zampolli M, Marston P L 2010 J. Acoust. Soc. Am. 127 3356
[8]	Waters Z J, Simpson H J, Sarkissian A, Dey S, Houston B H, Bucaro J A, Yoder T J 2012 J. Acoust. Soc. Am. 132 3076
[9]	Décultot D, Liétard R, Maze G 2010 J. Acoust. Soc. Am. 127 1328
[10]	Chen Y F, Li G J, Wang Z S, Zhang M W, Jia B 2013 Acta Phys. Sin. 62 084302 (in Chinese) [陈云飞, 李桂娟, 王振山, 张明伟, 贾兵 2013 物理学报 62 084302]
[11]	Bucaro J A, Houston B H, Saniga M, Dragonette L R, Yoder T, Dey S, Kraus L, Carin L 2008 J. Acoust. Soc. Am. 123 738
[12]	Zheng G Y, Fan J, Tang W L 2010 Acta Acustica 35 31 (in Chinese) [郑国垠, 范军, 汤渭霖 2010 声学学报 35 31]
[13]	Ou H H, Au W W L, Syrmos V L 2010 Oceans 2010 MTS/IEEE Seattle Seattle, USA, September 20-23, 2010 p1
[14]	Anderson S D, Sabra K G, Zakharia M E, Sessarego J P 2012 J. Acoust. Soc. Am. 131 164
[15]	Laaboubi M, Aassif E, Latif R, Dliou A, Maze G, Décultot D 2013 Aerosp. Sci. Technal. 27 216
[16]	Tao R, Li X M, Li Y L, Wang Y 2009 IEEE Trans. Signal Process. 57 2852
[17]	Deng B, Wang X, Tao R, Liu X Z 2012 Acta Armament. 33 764 (in Chinese) [邓兵, 王旭, 陶然, 刘贤忠 2012 兵工学报 33 764]
[18]	Ozaktas H M, Kutay M A, Zalevsky Z 2001 The Fractional Fourier Transform with Applications in Optics and Signal Processing (New York: Wiley) pp1-5, 118-122
[19]	Tao R, Deng B, Wang Y 2006 Sci. China: Inform. Sci. 49 1
[20]	Sejdić E, Djurović I, Stanković L 2011 Signal Process. 91 1351
[21]	Chen Y, Zhao H C, Chen S, Zhang S N 2014 Acta Phys. Sin. 63 118403 (in Chinese) [陈勇, 赵惠昌, 陈思, 张淑宁 2014 物理学报 63 118403]
[22]	Tang W L 1994 Acta Acustica 19 92 (in Chinese) [汤渭霖 1994 声学学报 19 92]
[23]	Tang W L, Chen D Z 1988 Acta Acustica 13 29 (in Chinese) [汤渭霖, 陈德智 1988 声学学报 13 29]
[24]	Almeida L B 1994 IEEE Trans. Signal Process. 42 3084
[25]	Liu F, Xu H F, Tao R, Wang Y 2012 Sci. China: Inform. Sci. 55 1301
[26]	Ozaktas H M, Arikan O, Kutay M A, Bozdagi G 1996 IEEE Trans. Signal Process. 44 2141
[27]	Xu H F, Liu F 2010 Proceedings of the 2010 IEEE International Conference on Information and Automation Harbin, China, June 20-23, 2010 p408

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