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The principle of Doppler spectra detected by HFSWR (high-frequency-surface-wave radar) is given by a nonlinear integral equation from which can be extracted ocean wave parameters. By linearization, the equation can be transferred into a first kind of Fredholm integral equation approximately and can be displayed in a quadratic form. Conjunction gradient (CG) method is proposed to solve the optimization problem. Non-negative restriction is introduced to improve the involved CG algorithm and fit to the priori knowledge so that the ocean wave parameter is non-negative. Validity and accuracy of the proposed method are demonstrated by numerical simulation with different noise levels at one site and two sites.
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Keywords:
- HFSWR /
- ocean wave spectra /
- conjunction gradient method /
- inversion
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[2] Zhang J P, Wu Z S, Zhao Z W 2012 Chin. Phys. B 21 109202
[3] Zhou B, Liu W Q, Qi F 2001 Acta Phys. Sin. 50 091818 (in Chinese) [周斌, 刘文清, 齐峰 2001 50 091818]
[4] Huang S X, Zhao X F, Sheng Z 2009 Chin. Phys. B 18 115084
[5] Zhang Y M, Wang Y H, Zhan Z F 2010 Chin. Phys. B 19 084103
[6] Zhang J P, Wu Z S, Wang B 2011 Chin. Phys. Lett. 28 034301
[7] Sheng Z, Fang H X 2012 Chin. Phys. B 21 029301
[8] Crombie D D 1953 Nature. 175 681
[9] Barrick D E 1972 IEEE Trans. Antennas Propag. 20 012
[10] Mao Y, Guo L X, Din H F, Liu W 2012 Acta Phys. Sin. 61 044201 (in Chinese) [毛媛, 郭立新, 丁惠芬, 刘伟 2012 物理学报 61 044201]
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[13] Li L, Wu X B, Liu B, Long C 2013 Chinese J. Geophysics. 56 01219 (in Chinese) [李伦, 吴雄斌, 龙超, 刘斌 2013 地球物理学报 56 01219]
[14] Yan S H, Wu X B, and Chen Z Z 2010 Progress in Electromagnetics Research Letter 14 79
[15] Barrick D E 1977 Radio Sci. 12 03415
[16] Lipa B J, Barrick D E 1986 Radio Sci. 21 0181
[17] Howell R, Walsh J 1993 IEEE J. Oceanic Eng. 18 02296
[18] Green J J, Wyatt L R 2006 J. Atmospheric and Oceanic Technology 23 03501
[19] Hisaki Y 2009 J. of Atmospheric and OceanicTechnology 26 112444
[20] Bi Y M, Liao M, Zhang M 2013 Acta Phys. Sin. 62 159301 (in Chinese) [毕研盟, 廖蜜, 张鹏 2013 物理学报 62 159301]
[21] He Y M, Du H D, Long Z Y, Huang S X 2012 Acta Phys. Sin. 61 024205 (in Chinese) [何明元, 杜华栋, 龙智勇, 黄思训 2012 物理学报 61 024205]
[22] Jiang Z H, Huang S X, He R, Zhou C T 2011 Acta Phys. Sin. 60 068401 (in Chinese) [姜祝辉, 黄思训, 何然, 周晨腾 2011 物理学报 61 068401]
[23] Hasselmann K 1971 Nature 299 16
[24] Wang Y F, Stepanova I E, Strakhov V N, Yagola A G 2011 Inverse Problems in Geophysics and Solution Methods (Beijing: Higher Education Press) p4 (in Chinese) [王彦飞等 2011 地球物理数值反演问题 (北京: 高等教育出版社) 第4页]
[25] Zhong J, Huang S X, Fei J F, Du H D, Zhang L 2011 Chin. Phys. B 20 064301
[26] He R, Huang S X, Zhou C T, J Z H 2012 Acta Phys. Sin. 61 049201 (in Chinese) [何然, 黄思训, 周晨腾, 姜祝辉 2012 物理学报 61 049201]
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[1] Tao Z M, Zhang Y C, Liu X Q 2004 Chin. Phys. 13 409
[2] Zhang J P, Wu Z S, Zhao Z W 2012 Chin. Phys. B 21 109202
[3] Zhou B, Liu W Q, Qi F 2001 Acta Phys. Sin. 50 091818 (in Chinese) [周斌, 刘文清, 齐峰 2001 50 091818]
[4] Huang S X, Zhao X F, Sheng Z 2009 Chin. Phys. B 18 115084
[5] Zhang Y M, Wang Y H, Zhan Z F 2010 Chin. Phys. B 19 084103
[6] Zhang J P, Wu Z S, Wang B 2011 Chin. Phys. Lett. 28 034301
[7] Sheng Z, Fang H X 2012 Chin. Phys. B 21 029301
[8] Crombie D D 1953 Nature. 175 681
[9] Barrick D E 1972 IEEE Trans. Antennas Propag. 20 012
[10] Mao Y, Guo L X, Din H F, Liu W 2012 Acta Phys. Sin. 61 044201 (in Chinese) [毛媛, 郭立新, 丁惠芬, 刘伟 2012 物理学报 61 044201]
[11] Walsh J, Huang W, Gill E 2010 IEEE Trans. Antennas Propag. 58 092994
[12] Wu X B, Li L, Li Y 2012 Ocean. Et Lim. Sinica. 43 02210 (in Chinese) [吴雄斌, 李伦, 李炎 2012 海洋与湖沼 43 02210]
[13] Li L, Wu X B, Liu B, Long C 2013 Chinese J. Geophysics. 56 01219 (in Chinese) [李伦, 吴雄斌, 龙超, 刘斌 2013 地球物理学报 56 01219]
[14] Yan S H, Wu X B, and Chen Z Z 2010 Progress in Electromagnetics Research Letter 14 79
[15] Barrick D E 1977 Radio Sci. 12 03415
[16] Lipa B J, Barrick D E 1986 Radio Sci. 21 0181
[17] Howell R, Walsh J 1993 IEEE J. Oceanic Eng. 18 02296
[18] Green J J, Wyatt L R 2006 J. Atmospheric and Oceanic Technology 23 03501
[19] Hisaki Y 2009 J. of Atmospheric and OceanicTechnology 26 112444
[20] Bi Y M, Liao M, Zhang M 2013 Acta Phys. Sin. 62 159301 (in Chinese) [毕研盟, 廖蜜, 张鹏 2013 物理学报 62 159301]
[21] He Y M, Du H D, Long Z Y, Huang S X 2012 Acta Phys. Sin. 61 024205 (in Chinese) [何明元, 杜华栋, 龙智勇, 黄思训 2012 物理学报 61 024205]
[22] Jiang Z H, Huang S X, He R, Zhou C T 2011 Acta Phys. Sin. 60 068401 (in Chinese) [姜祝辉, 黄思训, 何然, 周晨腾 2011 物理学报 61 068401]
[23] Hasselmann K 1971 Nature 299 16
[24] Wang Y F, Stepanova I E, Strakhov V N, Yagola A G 2011 Inverse Problems in Geophysics and Solution Methods (Beijing: Higher Education Press) p4 (in Chinese) [王彦飞等 2011 地球物理数值反演问题 (北京: 高等教育出版社) 第4页]
[25] Zhong J, Huang S X, Fei J F, Du H D, Zhang L 2011 Chin. Phys. B 20 064301
[26] He R, Huang S X, Zhou C T, J Z H 2012 Acta Phys. Sin. 61 049201 (in Chinese) [何然, 黄思训, 周晨腾, 姜祝辉 2012 物理学报 61 049201]
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