基于导航雷达图像阴影反演有效波高

doi:10.12305/j.issn.1001-506X.2025.10.10

系统工程与电子技术 ›› 2025, Vol. 47 ›› Issue (10): 3228-3234.doi: 10.12305/j.issn.1001-506X.2025.10.10

• 传感器与信号处理 • 上一篇

基于导航雷达图像阴影反演有效波高

宋会丽¹(), 卫延波²(), 刘凯伦¹(), 张润博¹(), 卢志忠¹^,*()

1. 哈尔滨工程大学智能科学与工程学院，黑龙江哈尔滨 150006
2. 洛阳师范学院物理与电子信息学院，河南洛阳 471934

收稿日期:2024-09-19 出版日期:2025-10-25 发布日期:2025-10-23
通讯作者: 卢志忠 E-mail:songhuili@hrbeu.edu.cn;weiyanbo@hrbeu.edu.cn;asdfg@hrbeu.edu.cn;2013041429@hrbeu.edu.cn;luzhizhong@hrbeu.edu.cn
作者简介:宋会丽（1999—），女，硕士研究生，主要研究方向为海洋遥感
卫延波（1989—），男，副教授，博士，主要研究方向为降雨强度反演、海浪信息反演
刘凯伦（1997—），女，博士研究生，主要研究方向为海洋遥感
张润博（1995—），男，博士研究生，主要研究方向为海洋遥感
基金资助:
河南省自然科学基金（232300420447）；河南省高等教育项目（25B170006）资助课题

Significant wave height inversion based on navigation radar shadow image

Huili SONG¹(), Yanbo WEI²(), Kailun LIU¹(), Runbo ZHANG¹(), Zhizhong LU¹^,*()

1. College of Intelligent Systems Science and Engineering，Harbin Engineering University，Harbin 150006，China
2. College of Physics and Electronic Information，Luoyang Normal University，Luoyang 471934，China

Received:2024-09-19 Online:2025-10-25 Published:2025-10-23
Contact: Zhizhong LU E-mail:songhuili@hrbeu.edu.cn;weiyanbo@hrbeu.edu.cn;asdfg@hrbeu.edu.cn;2013041429@hrbeu.edu.cn;luzhizhong@hrbeu.edu.cn

摘要/Abstract

摘要：

X波段航海雷达海杂波中包含丰富的海浪信息，可用于遥测海浪。近年来，在基于X波段雷达利用阴影法估计有效波高的过程中，由于余补误差函数和指数项的存在，致使无法获得波陡的数值解析解，限制了阴影法反演有效波高的实际应用。根据实际测量条件将余补误差函数等近似处理，通过对近似方程求解，便可由照度概率直接获得海浪的波陡，进而反演海浪有效波高。利用福建平潭试验场采集的X波段图像进行验证，实验结果表明改进后的阴影方法可以代替现有阴影法去反演有效波高，二者反演结果的相关性系数为0.998 0，均方根误差为0.022 4 m，且运算时间由6.367 s缩短为0.088 s。

关键词: X波段雷达, 史密斯拟合函数, 波陡, 有效波高

Abstract:

The sea clutter of X-band marine radar contains abundant wave information and can be used for remote wave measurement. In recent years, in the process of estimating significant wave height by shadow method based on X-band radar, due to the existence of complementary error function and exponential term, it is difficult to obtain the numerical analytic solution of wave steepness, which limits the application of shadow method in the inversion of significant wave height. The complementary error function is approximated according to the actual measurement conditions. Thus, by solving the approximate equation, the wave steepness of the ocean wave can be obtained directly from the illuminance probability, and the significant wave height of the ocean wave is retrieved. The X-band images collected from Pingtan Test site in Fujian Province are used for verification. Experimental results show that the improved shallow method can replace the existing shadow method to inversion significant wave height, the correlation coefficient of the two inversion results is 0.998 0, the root mean square error is 0.022 4 m, and the operation time is shortened from 6.367 s to 0.088 s.

Key words: X-band radar, Smith fitting function （SFF）, wave steepness, significant wave height

中图分类号:

宋会丽, 卫延波, 刘凯伦, 张润博, 卢志忠. 基于导航雷达图像阴影反演有效波高[J]. 系统工程与电子技术, 2025, 47(10): 3228-3234.

Huili SONG, Yanbo WEI, Kailun LIU, Runbo ZHANG, Zhizhong LU. Significant wave height inversion based on navigation radar shadow image[J]. Systems Engineering and Electronics, 2025, 47(10): 3228-3234.

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参考文献 32

1	YANG Z D, HUANG W M. SWHFormer: a vision transformer for significant wave height estimation from nautical radar images[J]. IEEE Trans. on Geoscience and Remote Sensing, 2024, 62, 5104213.
2	SUN L, LU Z Z, WEI Y B, et al. A new method to retrieve rainfall intensity level from rain-contaminated X-band marine radar image[J]. International Journal of Remote Sensing, 2023, 44 (2): 585- 608. doi: 10.1080/01431161.2023.2169592
3	HUANG W M, LIU X L, GILL E W. Ocean wind and wave measurements using X-band marine radar: a comprehensive review[J]. Remote Sensing, 2017, 9 (12): 1261. doi: 10.3390/rs9121261
4	楚晓亮, 徐铭, 王峰, 等. 利用X波段雷达提取海浪信息的分析[J]. 中国海洋大学学报（自然科学版）, 2011, 41 (5): 110- 113.
	CHU X L, XU M, WANG F, et al. Analysis of ocean wave information extraction by X-band radar[J]. Journal of Ocean University of China （Natural Science Edition）, 2011, 41 (5): 110- 113.
5	YANG Z D, HUANG W M. Wave height estimation from X-band radar data using variational mode decomposition[J]. IEEE Geoscience and Remote Sensing Letters, 2022, 19, 1505405.
6	ZUO S Y, WANG D Z, WANG X, et al. Wave height and period estimation from X-band marine radar images using convolutional neural network[J]. Journal of Marine Science Engineering, 2024, 12 (2): 311. doi: 10.3390/jmse12020311
7	WANG H, QIU H Y, LU Z Z, et al. An energy spectrum algorithm for wind direction retrieval from X-band marine radar image sequences[J]. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021, 14, 4074- 4088. doi: 10.1109/JSTARS.2021.3069989
8	ZHANG Y Y, LIU F M, LU Z Z, et al. Multi-anemometer optimal layout and weighted fusion method for estimation of ship surface steady-state wind parameters [J]. Ocean Engineering, 2022, 266: 112793.
9	YOUNG I R, ROSENTHAL W, ZIEMER F. A three dimensional analysis of marine radar images for the determination of ocean wave directionality and surface currents[J]. Journal of Geophysical Research, 1985, 90 (C1): 1049- 1059. doi: 10.1029/JC090iC01p01049
10	NIETO-BORGE J C, RODIGUEZ G R, HESSNER K, et al. Inversion of marine radar images for surface wave analysis[J]. Journal of Atmospheric and Oceanic Technology, 2004, 21 (8): 1291- 1300. doi: 10.1175/1520-0426(2004)021<1291:IOMRIF>2.0.CO;2
11	NIETO-BORGE J C, HESSNER K, JARABO-AMORES P, et al. Signal-to-noise ratio analysis to estimate ocean wave heights from X-band marine radar image time series[J]. IET Radar, Sonar & Navigation, 2008, 2 (1): 35- 41. doi: 10.1049/iet-rsn:20070027
12	AN J Q, HUANG W M, GILL E W. A self-adaptive wavelet-based algorithm for wave measurement using nautical radar[J]. IEEE Trans. on Geoscience and Remote Sensing, 2014, 53 (1): 567- 577.
13	CHEN Z Z, ZHANG L G, ZHAO C, et al. A practical method of extracting wind sea and swell from directional wave spectrum[J]. Journal of Atmospheric and Oceanic Technology, 2015, 32 (11): 2147- 2159. doi: 10.1175/JTECH-D-15-0092.1
14	CHEN Z B, ZHANG B, HE Y J, et al. A new modulation transfer function for ocean wave spectra retrieval from X-band marine radar imagery[J]. Chinese Journal of Oceanology and Limnology, 2015, 33 (5): 1132- 1141. doi: 10.1007/s00343-015-4147-1
15	QIU J D, ZHANG B A, CHEN Z B, et al. A new modulation transfer function with range and azimuth dependence for ocean wave spectra retrieval from X-band marine radar observations[J]. IEEE Geoscience and Remote Sensing Letters, 2017, 14 (8): 1373- 1377. doi: 10.1109/LGRS.2017.2713438
16	WANG L, WU X B, YUE X C, et al. A novel algorithm in estimating signal-to-noise ratio for ocean wave height inversion from X-Band radar images[J]. IEEE Geoscience and Remote Sensing Letters, 2016, 13 (3): 344- 348.
17	WEI Y B, ZHENG Y, LU Z Z. A method for retrieving wave parameters from synthetic X-band marine radar images[J]. IEEE Access, 2020, 8, 204880- 204890. doi: 10.1109/ACCESS.2020.3037157
18	ZHAO M X, ZHENG Y K, LIN Z L. Sea surface reconstruction from marine radar images using deep convolutional neural networks[J]. Journal of Ocean Engineering and Science, 2023, 8 (6): 647- 661. doi: 10.1016/j.joes.2023.09.002
19	CHEN Z B, HE Y J, ZHANG B. An automatic algorithm to retrieve wave height from X-band marine radar image sequence[J]. IEEE Trans. on Geoscience and Remote Sensing, 2017, 55 (9): 5084- 5092. doi: 10.1109/TGRS.2017.2702192
20	WETZEL L B. Electromagnetic scattering from the sea at low grazing angles[J]. Surface Waves and Fluxes, 1990, 2, 109- 172.
21	GANGESKAR R. An algorithm for estimation of wave height from shadowing in X-Band radar sea surface image[J]. IEEE Trans. on Geoscience and Remote Sensing, 2013, 52 (6): 3373- 3381.
22	NAAIJEN P, WIJAYA A P. Phase resolved wave prediction from synthetic radar images [C]//Proc. of the International Conference on Offshore Mechanics and Arctic Engineering, 2014.
23	WIJAYA A P, NAAIJEN P, ANDONOWATI, et al. Reconstruction and future prediction of the sea surface from radar observations[J]. Ocean Engineering, 2015, 106 (15): 261- 270.
24	LIU X L, HUANG W M, GILL E W. Wave height estimation from shipborne X-band nautical radar images[J]. Journal of Sensors, 2016, 2016, 1078053.
25	WEI Y B, LU Z Z, PIAN G, et al. Wave height estimation from shadowing based on the acquired X-band marine radar images in coastal area[J]. Remote Sensing, 2017, 9 (8): 859. doi: 10.3390/rs9080859
26	WEI Y B, WANG Y J, HE C D, et al. A method of extracting the SWH based on a constituted wave slope feature vector （WSFV） from X-band marine radar images[J]. Remote sensing, 2023, 15 (22): 5355.
27	卢志忠, 杨江洪, 黄玉, 等. 航海雷达图像阴影提取波高算法的改进研究[J]. 仪器仪表学报, 2017, 38 (1): 212- 218. doi: 10.3969/j.issn.0254-3087.2017.01.028
	LU Z Z, YANG J H, HUANG Y, et al. Marine radar image shadow extraction of wave height algorithm to improve research[J]. Journal of instrument meter table, 2017, 38 (1): 212- 218. doi: 10.3969/j.issn.0254-3087.2017.01.028
28	NAVARRO W, VELEZ J C, ORFILA A, et al. A shadowing mitigation approach for sea state parameters estimation using X-band remotely sensing radar data in coastal areas[J]. IEEE Trans. on Geoscience and Remote Sensing, 2019, 57 (9): 6292- 6310. doi: 10.1109/TGRS.2019.2905104
29	姚智超, 楚晓亮, 范筠益, 等. 基于Prewitt算子的X波段雷达有效波高反演研究[J]. 系统工程与电子技术, 2022, 44 (4): 1182- 1187. doi: 10.12305/j.issn.1001-506X.2022.04.14
	YAO Z C, CHU X L, FAN J Y, et al. Research on significant wave height inversion of X-band radar based on Prewitt operator[J]. Systems Engineering and Electronics, 2022, 44 (4): 1182- 1187. doi: 10.12305/j.issn.1001-506X.2022.04.14
30	HUANG W M, YANG Z D, CHEN X W. Wave height estimation from X-Band nautical radar images using temporal convolutional network[J]. IEEE Journal of Selected in Applied Earth Observations and Remote Sensing, 2021, 14, 11395- 11405. doi: 10.1109/JSTARS.2021.3124969
31	WANG L, MEI H, YI K. Improved CycleGAN-based shadow estimation for ocean wave height inversion from marine X-band radar images[J]. Geocarto International, 2022, 37 (26): 14050- 14064. doi: 10.1080/10106049.2022.2086630
32	卫延波. X波段导航雷达图像反演海面高程技术研究[D]. 哈尔滨: 哈尔滨工程大学, 2017.
	WEI Y B. Research on sea level inversion technology of X-band navigation radar image [D]. Harbin: Harbin Engineering University, 2017.

指标	一次函数	二次函数	三次函数
r	0.922 3	0.997 5	0.999 988
RMSE/m	0.056 5	0.010 3	0.000 735

指标	ISM与SFF	ISM与浮标	SFF与浮标
r	0.998 0	0.722 5	0.702 7
RMSE/m	0.022 4	0.328 8	0.317 7

[1]	姚智超, 楚晓亮, 范筠益, 王峰. 基于Prewitt算子的X波段雷达有效波高反演研究[J]. 系统工程与电子技术, 2022, 44(4): 1182-1187.
[2]	卢志忠, 杨建坡, 黄玉. 运动平台下X波段雷达海面风向反演算法[J]. 系统工程与电子技术, 2016, 38(4): 799-803.
[3]	楚晓亮, 张杰, 王曙曜, 纪永刚, 王祎鸣. 高频地波雷达有效波高反演的改进模型[J]. 系统工程与电子技术, 2015, 37(8): 1793-1796.
[4]	袁赣南，贾瑞才，张红伟. 改进的X波段雷达测海表面流算法[J]. Journal of Systems Engineering and Electronics, 2012, 34(2): 276-281.

基于导航雷达图像阴影反演有效波高

Significant wave height inversion based on navigation radar shadow image

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