An Algorithm for One-Dimensional Wave Spectrum Retrieval from Gaofen-3 by Deep Learning

Shaijie Leng College of Oceanography and Ecological Science, Shanghai Ocean University, Shanghai, China

Search for other papers by Shaijie Leng in
Current site
Google Scholar
PubMed
Close
,
Weizeng Shao College of Oceanography and Ecological Science, Shanghai Ocean University, Shanghai, China

Search for other papers by Weizeng Shao in
Current site
Google Scholar
PubMed
Close
https://orcid.org/0000-0003-3693-6217
,
Ferdinando Nunziata Dipartimento di Ingegneria, Università degli Studi di Napoli “Parthenope”, Napoli, Italy

Search for other papers by Ferdinando Nunziata in
Current site
Google Scholar
PubMed
Close
, and
Maurizio Migliaccio Dipartimento di Ingegneria, Università degli Studi di Napoli “Parthenope”, Napoli, Italy

Search for other papers by Maurizio Migliaccio in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

The goal of the present work was to confirm the applicability of one-dimensional wave spectrum retrieval from Gaofen-3 (GF-3) synthetic aperture radar (SAR) using deep learning techniques. A total of 11 300 images were acquired in wave (WV) mode, and 1000 images have been employed in quad-polarized stripmap (QPS) mode during the period from 2017 to 2022. To simulate wave spectra that were collocated with GF-3 images, a third-generation numerical model, WAVEWATCH-III (WW3), was employed. Validation of significant wave heights (SWHs) hindcasted by WW3 against the operational products from Haiyang-2 (HY-2) altimeters during March–June 2019 in the China Seas yielded a 0.44-m root-mean-square error (RMSE), a correlation (r) of 0.91, and a 0.16 scatter index (SI). The basic deep learning method employed for SAR wave spectrum retrieval was based on three deep learning methods [multilayer perceptron (MLP), residual networks (ResNet), and convolutional neural networks (CNNs)], which were trained on the 11 300 WV images. SAR intensity spectrum in copolarization [vertical–vertical (VV) and horizontal–horizontal (HH)] and modulation transfer functions (MTFs) corresponding to three modulations (i.e., hydrodynamic, tilt, and velocity bunching) were treated as inputs in the training procedure. An MLP-based algorithm has the best inversion results. The retrievals by the MLP were compared with the collocated wave spectra from the Surface Wave Investigation and Monitoring (SWIM). Statistical analysis yielded a correlation coefficient (Cor) and a squared error (Err) of the wave spectrum of 0.79 and 1.69, respectively, and the RMSE of SWH was 0.35 m, with a 0.98 r value and 0.13 SI. Similarly, the RMSE of SAR-derived SWHs from 700 QPS images was 0.41 m, with a 0.95 r and a 0.28 SI validated against the altimeters on board HY-2. As validated against National Data Buoy Center (NDBC) buoys, the RMSE was 1.14 s, with an r of 0.23 and an SI of 0.16. Collectively, the proposed MLP-based algorithm demonstrated good performance in retrieving the one-dimensional wave spectrum from GF-3 SAR images.

© 2025 American Meteorological Society. This published article is licensed under the terms of the default AMS reuse license. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Weizeng Shao, wzshao@shou.edu.cn

Abstract

The goal of the present work was to confirm the applicability of one-dimensional wave spectrum retrieval from Gaofen-3 (GF-3) synthetic aperture radar (SAR) using deep learning techniques. A total of 11 300 images were acquired in wave (WV) mode, and 1000 images have been employed in quad-polarized stripmap (QPS) mode during the period from 2017 to 2022. To simulate wave spectra that were collocated with GF-3 images, a third-generation numerical model, WAVEWATCH-III (WW3), was employed. Validation of significant wave heights (SWHs) hindcasted by WW3 against the operational products from Haiyang-2 (HY-2) altimeters during March–June 2019 in the China Seas yielded a 0.44-m root-mean-square error (RMSE), a correlation (r) of 0.91, and a 0.16 scatter index (SI). The basic deep learning method employed for SAR wave spectrum retrieval was based on three deep learning methods [multilayer perceptron (MLP), residual networks (ResNet), and convolutional neural networks (CNNs)], which were trained on the 11 300 WV images. SAR intensity spectrum in copolarization [vertical–vertical (VV) and horizontal–horizontal (HH)] and modulation transfer functions (MTFs) corresponding to three modulations (i.e., hydrodynamic, tilt, and velocity bunching) were treated as inputs in the training procedure. An MLP-based algorithm has the best inversion results. The retrievals by the MLP were compared with the collocated wave spectra from the Surface Wave Investigation and Monitoring (SWIM). Statistical analysis yielded a correlation coefficient (Cor) and a squared error (Err) of the wave spectrum of 0.79 and 1.69, respectively, and the RMSE of SWH was 0.35 m, with a 0.98 r value and 0.13 SI. Similarly, the RMSE of SAR-derived SWHs from 700 QPS images was 0.41 m, with a 0.95 r and a 0.28 SI validated against the altimeters on board HY-2. As validated against National Data Buoy Center (NDBC) buoys, the RMSE was 1.14 s, with an r of 0.23 and an SI of 0.16. Collectively, the proposed MLP-based algorithm demonstrated good performance in retrieving the one-dimensional wave spectrum from GF-3 SAR images.

© 2025 American Meteorological Society. This published article is licensed under the terms of the default AMS reuse license. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Weizeng Shao, wzshao@shou.edu.cn
Save
  • Alpers, W. R., and C. Bruening, 1986: On the relative importance of motion-related contributions to the SAR Imaging mechanism of ocean surface waves. IEEE Trans. Geosci. Remote Sens., GE-24, 873885, https://doi.org/10.1109/TGRS.1986.289702.

    • Search Google Scholar
    • Export Citation
  • Alpers, W. R., and B. Brummer, 1994: Atmospheric boundary layer rolls observed by the synthetic aperture radar aboard the ERS-1 satellite. J. Geophys. Res., 99, 12 61312 621, https://doi.org/10.1029/94JC00421.

    • Search Google Scholar
    • Export Citation
  • Alpers, W. R., D. B. Ross, and C. L. Rufenach, 1981: On the detectability of ocean surface waves by real and synthetic aperture radar. J. Geophys. Res., 86, 64816498, https://doi.org/10.1029/JC086iC07p06481.

    • Search Google Scholar
    • Export Citation
  • Beardsley, R. C., A. G. Enriquez, C. A. Friehe, and C. A. Alessi, 1997: Intercomparison of aircraft and buoy measurements of wind and wind stress during SMILE. J. Atmos. Oceanic Technol., 14, 969977, https://doi.org/10.1175/1520-0426(1997)014<0969:IOAABM>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Corcione, V., F. Nunziata, and M. Migliaccio, 2018: Megi Typhoon monitoring by X-band synthetic aperture radar measurements. IEEE J. Oceanic Eng., 43, 184194, https://doi.org/10.1109/JOE.2017.2700558.

    • Search Google Scholar
    • Export Citation
  • Du, Y., P. W. Vachon, and J. Wolfe, 2002: Wind direction estimation from SAR images of the ocean using wavelet analysis. Can. J. Remote Sens., 28, 498509, https://doi.org/10.5589/m02-029.

    • Search Google Scholar
    • Export Citation
  • Gao, Y., C. Guan, J. Sun, and L. Xie, 2018: A new hurricane wind direction retrieval method for SAR images without hurricane eye. J. Atmos. Ocean. Technol., 35, 22292239, https://doi.org/10.1175/JTECH-D-18-0053.1.

    • Search Google Scholar
    • Export Citation
  • Grigorieva, V. G., S. I. Badulin, and S. K. Gulev, 2022: Global validation of SWIM/CFOSAT wind waves against voluntary observing ship data. Earth Space Sci., 9, e2021EA002008, https://doi.org/10.1029/2021EA002008.

    • Search Google Scholar
    • Export Citation
  • Guo, C. G., W. H. Ai, S. S. Hu, X. Y. Du, and N. Chen, 2022: Sea surface wind direction retrieval based on convolutional neural network and wavelet analysis. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens., 15, 38683876, https://doi.org/10.1109/JSTARS.2022.3173001.

    • Search Google Scholar
    • Export Citation
  • Hao, M. Y., W. Z. Shao, R. Yao, Y. G. Zhang, and X. W. Jiang, 2023: Improvement of quad-polarized velocity bunching modulation transfer function by C-band Gaofen-3 SAR. Remote Sens. Lett., 14, 970980, https://doi.org/10.1080/2150704X.2023.2255347.

    • Search Google Scholar
    • Export Citation
  • Hasselmann, K., and S. Hasselmann, 1991: On the nonlinear mapping of an ocean wave spectrum into a synthetic aperture radar image spectrum and its inversion. J. Geophys. Res., 96, 10 71310 729, https://doi.org/10.1029/91JC00302.

    • Search Google Scholar
    • Export Citation
  • Hasselmann, S., C. Brüning, K. Hasselmann, and P. Heimbach, 1996: An improved algorithm for the retrieval of ocean wave spectra from synthetic aperture radar image spectra. J. Geophys. Res., 101, 16 61516 629, https://doi.org/10.1029/96JC00798.

    • Search Google Scholar
    • Export Citation
  • Hauser, D., and Coauthors, 2021: New observations from the SWIM radar on-board CFOSAT: Instrument validation and ocean wave measurement assessment. IEEE Trans. Geosci. Remote Sens., 59, 526, https://doi.org/10.1109/TGRS.2020.2994372.

    • Search Google Scholar
    • Export Citation
  • He, Y. J., H. H. Shen, and W. Perrie, 2006: Remote sensing of ocean waves by polarimetric SAR. J. Atmos. Oceanic Technol., 23, 17681773, https://doi.org/10.1175/JTECH1948.1.

    • Search Google Scholar
    • Export Citation
  • Hersbach, H., 2010: Comparison of C-band scatterometer CMOD5.N equivalent neutral winds with ECMWF. J. Atmos. Oceanic Technol., 27, 721736, https://doi.org/10.1175/2009JTECHO698.1.

    • Search Google Scholar
    • Export Citation
  • Hu, Y. Y., W. Z. Shao, X. W. Jiang, W. Zhou, and J. C. Zuo, 2023: Improvement of VV-polarization tilt MTF for Gaofen-3 SAR data of a tropical cyclone. Remote Sens. Lett., 14, 461468, https://doi.org/10.1080/2150704X.2023.2215897.

    • Search Google Scholar
    • Export Citation
  • Hu, Y. Y., M. Y. Hao, W. Z. Shao, W. Shen, and X. W. Jiang, 2024a: Wave retrieval for Sentinel-1 synthetic aperture radar under complex sea state. Int. J. Remote Sens., 45, 38073826, https://doi.org/10.1080/01431161.2024.2354134.

    • Search Google Scholar
    • Export Citation
  • Hu, Y. Y., W. Shao, X. Wang, J. Zuo, and X. Jiang, 2024b: Analysis of wave breaking on synthetic aperture radar at C-band during tropical cyclones. Geo-Spat. Inf. Sci., 27, 21092122, https://doi.org/10.1080/10095020.2023.2295467.

    • Search Google Scholar
    • Export Citation
  • Hwang, P. A., and F. Fois, 2015: Surface roughness and breaking wave properties retrieved from polarimetric microwave radar backscattering. J. Geophys. Res. Oceans, 120, 36403657, https://doi.org/10.1002/2015JC010782.

    • Search Google Scholar
    • Export Citation
  • Isoguchi, O., and M. Shimada, 2009: An L-band ocean geophysical model function derived from PALSAR. IEEE Trans. Geosci. Remote Sens., 47, 19251936, https://doi.org/10.1109/TGRS.2008.2010864.

    • Search Google Scholar
    • Export Citation
  • Kardakaris, K., P. Dimitriadis, T. Iliopoulou, and D. Koutsoyiannis, 2023: Stochastic simulation of wind wave parameters for energy production. Ocean Eng., 274, 114029, https://doi.org/10.1016/j.oceaneng.2023.114029.

    • Search Google Scholar
    • Export Citation
  • Katikas, L., P. Dimitriadis, D. Koutsoyiannis, T. Kontos, and P. Kyriakidis, 2021: A stochastic simulation scheme for the long-term persistence, heavy-tailed and double periodic behavior of observational and reanalysis wind time-series. Appl. Energy, 295, 116873, https://doi.org/10.1016/j.apenergy.2021.116873.

    • Search Google Scholar
    • Export Citation
  • Lehner, S., J. Horstmann, W. Koch, and W. Rosenthal, 1998: Mesoscale wind measurements using recalibrated ERS SAR images. J. Geophys. Res., 103, 78477856, https://doi.org/10.1029/97JC02726.

    • Search Google Scholar
    • Export Citation
  • Leng, S., M. Hao, W. Shao, A. Marino, and X. Jiang, 2024: A technique for SAR significant wave height retrieval using azimuthal cut-off wavelength based on machine learning. Remote Sens., 16, 1644, https://doi.org/10.3390/rs16091644.

    • Search Google Scholar
    • Export Citation
  • Li, H. M., A. Mouche, H. Wang, J. E. Stopa, and B. Chapron, 2019: Polarization dependence of azimuth cutoff from quad-pol SAR images. IEEE Trans. Geosci. Remote Sens., 57, 98789887, https://doi.org/10.1109/TGRS.2019.2929835.

    • Search Google Scholar
    • Export Citation
  • Li, X. M., and S. Lehner, 2014: Algorithm for sea surface wind retrieval from TerraSAR-X and TanDEM-X data. IEEE Trans. Geosci. Remote Sens., 52, 29282939, https://doi.org/10.1109/TGRS.2013.2267780.

    • Search Google Scholar
    • Export Citation
  • Li, X. M., S. Lehner, and T. Bruns, 2011: Ocean wave integral parameter measurements using Envisat ASAR wave mode data. IEEE Trans. Geosci. Remote Sens., 49, 155174, https://doi.org/10.1109/TGRS.2010.2052364.

    • Search Google Scholar
    • Export Citation
  • Mastenbroek, C., and C. F. De Valk, 2000: A semiparametric algorithm to retrieve ocean wave spectra from synthetic aperture radar. J. Geophys. Res., 105, 34973516, https://doi.org/10.1029/1999JC900282.

    • Search Google Scholar
    • Export Citation
  • Migliaccio, M., P. Lecomte, G. D. Chiara, and R. Crapolicchio, 2003: ERS C-Band scatterometer and tropical cyclone observation. Rivista Ital. Telerilevamento, LVIII, 143151.

    • Search Google Scholar
    • Export Citation
  • Migliaccio, M., L. Huang, and A. Buono, 2019: SAR speckle dependence on ocean surface wind field. IEEE Trans. Geosci. Remote Sens., 57, 54475455, https://doi.org/10.1109/TGRS.2019.2899491.

    • Search Google Scholar
    • Export Citation
  • Mouche, A., and B. Chapron, 2015: Global C-band Envisat, RADARSAT-2 and Sentinel-1 SAR measurements in co-polarization and cross-polarization. J. Geophys. Res. Oceans, 120, 71957207, https://doi.org/10.1002/2015JC011149.

    • Search Google Scholar
    • Export Citation
  • Mouche, A., B. Chapron, B. Zhang, and R. Husson, 2017: Combined co- and cross-polarized SAR measurements under extreme wind conditions. IEEE Trans. Geosci. Remote Sens., 55, 64766755, https://doi.org/10.1109/TGRS.2017.2732508.

    • Search Google Scholar
    • Export Citation
  • Nickerson, A. K., and G. A. Maul, 2017: Use of NDBC buoys and ship observations in climate analyses. J. Ocean Tech., 12, 91108.

  • Pleskachevsky, A., S. Jacobsen, B. Tings, and E. Schwarz, 2019: Estimation of sea sate from Sentinel-1 synthetic aperture radar imagery for maritime situation awareness. Int. J. Remote Sens., 40, 41044142, https://doi.org/10.1080/01431161.2018.1558377.

    • Search Google Scholar
    • Export Citation
  • Pleskachevsky, A., B. Tings, S. Wiehle, J. Imber, and S. Jacobsen, 2022: Multiparametric sea state fields from synthetic aperture radar for maritime situational awareness. Remote Sens. Environ., 280, 113200, https://doi.org/10.1016/j.rse.2022.113200.

    • Search Google Scholar
    • Export Citation
  • Ren, L., and Coauthors, 2019: Assessments of ocean wind retrieval schemes used for Chinese Gaofen-3 synthetic aperture radar co-polarized data. IEEE Trans. Geosci. Remote Sens., 57, 70757085, https://doi.org/10.1109/TGRS.2019.2911325.

    • Search Google Scholar
    • Export Citation
  • Schulz-Stellenfleth, J., S. Lehner, and D. Hoja, 2005: A parametric scheme for the retrieval of two-dimensional ocean wave spectra from synthetic aperture radar look cross spectra. J. Geophys. Res., 110, 297314, https://doi.org/10.1029/2004JC002822.

    • Search Google Scholar
    • Export Citation
  • Shao, W., T. Jiang, X. Jiang, Y. Zhang, and W. Zhou, 2021: Evaluation of sea surface winds and waves retrieved from the Chinese HY-2B data. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens., 14, 96249635, https://doi.org/10.1109/JSTARS.2021.3112760.

    • Search Google Scholar
    • Export Citation
  • Shao, W., X. Jiang, Z. Sun, Y. Hu, A. Marino, and Y. Zhang, 2022: Evaluation of wave retrieval for Chinese Gaofen-3 synthetic aperture radar. Geo-Spat. Inf. Sci., 25, 229243, https://doi.org/10.1080/10095020.2021.2012531.

    • Search Google Scholar
    • Export Citation
  • Shao, W., F. Nunziata, Y. Zhang, V. Corcione, and M. Migliaccio, 2023a: Wind speed retrieval from the Gaofen-3 synthetic aperture radar for VV- and HH-polarization using a re-tuned algorithm. Eur. J. Remote Sens., 54, 318337, https://doi.org/10.1080/22797254.2021.1924082.

    • Search Google Scholar
    • Export Citation
  • Shao, W., Y. Zhou, Q. Zhang, and X. Jiang, 2023b: Machine learning-based wind direction retrieval from quad-polarized Gaofen-3 SAR images. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens., 17, 806816, https://doi.org/10.1109/JSTARS.2023.3332424.

    • Search Google Scholar
    • Export Citation
  • Shao, W., Y. Hu, X. Jiang, and Y. Zhang, 2024: Wave retrieval from quad-polarized Chinese Gaofen-3 SAR image using an improved tilt modulation transfer function. Geo-Spat. Inf. Sci., 27, 14051423, https://doi.org/10.1080/10095020.2023.2239849.

    • Search Google Scholar
    • Export Citation
  • Sheng, Y., W. Shao, S. Zhu, J. Sun, X. Yuan, S. Li, J. Shi, and J. Zuo, 2018: Validation of significant wave height retrieval from co-polarization Chinese Gaofen-3 SAR imagery using an improved algorithm. Acta Oceanol. Sin., 37, 110, https://doi.org/10.1007/s13131-018-1217-1.

    • Search Google Scholar
    • Export Citation
  • Song, T., Q. Yan, C. Fan, J. Meng, Y. Wu, and J. Zhang, 2022: Significant wave height retrieval using XGBoost from polarimetric Gaofen-3 SAR and feature importance analysis. Remote Sens., 15, 149, https://doi.org/10.3390/rs15010149.

    • Search Google Scholar
    • Export Citation
  • Sun, J., and C. L. Guan, 2006: Parameterized first-guess spectrum method for retrieving directional spectrum of swell-dominated waves and huge waves from SAR images. Chin. J. Ocean. Limnol., 24, 1220, https://doi.org/10.1007/BF02842769.

    • Search Google Scholar
    • Export Citation
  • Tolman, H. L., and D. Chalikov, 1996: Source terms in a third-generation wind wave model. J. Phys. Oceanogr., 26, 24972518, https://doi.org/10.1175/1520-0485(1996)026<2497:STIATG>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Valenzuela, G. R., 1978: Theories for the interaction of electromagnetic and oceanic waves—A review. Bound.-Layer Meteor., 13, 6185, https://doi.org/10.1007/BF00913863.

    • Search Google Scholar
    • Export Citation
  • Wang, H., J. Yang, M. Lin, W. Li, J. Zhu, L. Ren, and L. Cui, 2022: Quad-polarimetric SAR sea state retrieval algorithm from Chinese Gaofen-3 wave mode imagettes via deep learning. Remote Sens. Environ., 273, 112969, https://doi.org/10.1016/j.rse.2022.112969.

    • Search Google Scholar
    • Export Citation
  • Weissman, D. E., M. A. Bourassa, and J. Tongue, 2002: Effects of rain rate and wind magnitude on seawinds scatterometer wind speed errors. J. Atmos. Oceanic Technol., 19, 738746, https://doi.org/10.1175/1520-0426(2002)019<0738:EORRAW>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Yang, X., X. Li, W. Pichel, and Z. Li, 2011: Comparison of ocean surface winds from ENVISAT ASAR, MetOp ASCAT scatterometer, buoy measurements, and NOGAPS model. IEEE Trans. Geosci. Remote Sens., 49, 47434750, https://doi.org/10.1109/TGRS.2011.2159802.

    • Search Google Scholar
    • Export Citation
  • Yao, R., W. Shao, M. Hao, J. Zuo, and S. Hu, 2023: The respondence of wave on sea surface temperature in the context of global change. Remote Sens., 15, 1948, https://doi.org/10.3390/rs15071948.

    • Search Google Scholar
    • Export Citation
  • Zhang, B., W. Perrie, P. W. Vachon, X. F. Li, W. Pichel, J. Guo, and Y. J. He, 2012: Ocean vector winds retrieval from C-Band fully polarimetric SAR measurements. IEEE Trans. Geosci. Remote Sens., 50, 42524261, https://doi.org/10.1109/TGRS.2012.2194157.

    • Search Google Scholar
    • Export Citation
  • Zhang, Y. M., Y. H. Wang, J. Zhang, and Y. Z. Liu, 2021: Reanalysis of the tilt MTFs based on the C-band empirical geophysical model function. IEEE Geosci. Remote Sens. Lett., 18, 15001504, https://doi.org/10.1109/LGRS.2020.3004332.

    • Search Google Scholar
    • Export Citation
  • Zhao, X. B., M. W. Z. Shao, Y. Hao, and X. W. Jiang, 2023: Novel approach to wind retrieval from Sentinel-1 SAR in tropical cyclones. Can. J. Remote Sens., 49, 254839, https://doi.org/10.1080/07038992.2023.2254839.

    • Search Google Scholar
    • Export Citation
  • Zhu, J., X. Dong, W. Lin, and D. Zhu, 2015: A preliminary study of the calibration for the rotating fan-beam scatterometer on CFOSAT. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens., 8, 460470, https://doi.org/10.1109/JSTARS.2014.2333241.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 221 221 221
Full Text Views 296 296 17
PDF Downloads 121 121 18