ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa
CURRENT PROBLEMS IN REMOTE SENSING OF THE EARTH FROM SPACE

  

Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2013, Vol. 10, No. 1, pp. 34-48

Influence of non-linearity of sea waves on the results of radio altimeter measurements

A.S. Zapevalov , V.V. Pustovoitenko 
Marine Hydrophysical Institute of the National Academy of Sciences of Ukraine, Sevastopol 99000, Ukraine
The influence on the return waveform pulse altimeter nonlinear effects of the sea surface waves that lead to deviation of the distribution surface elevations from Gaussian. Demonstrated the limitations of existing models of distributions (including the distribution of the Gram-Charlier) in the analysis of altimetry. It was noted that one of the problems of the simulation of the return waveform pulse altimeter is no model describing the distribution of sea surface elevation on a scale of more than one and a half times that exceed a significant wave height.
Keywords: satellite altimetry, state sea surface, distribution of elevations, nonlinearity of the sea waves.
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References:

  1. Bakut P.A., Bol'shakov I.A., Gerasimov B.M., Kuriksha A.A., Repin V.G., Tartakovskii G.P., Shirokov V.V., Voprosy statisticheskoi teorii radiolokatsii (Issues of the statistical radar theory), Moscow: Sov.radio, 1964, Vol. 2, 1087 p.
  2. Baskakov A.I., Egorov V.V., Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2008, Vol. 5, No. 1, pp. 225–228.
  3. Bass F.G., Braude S.Ya., Kalmykov A.I., Men' A.V., Ostrovskii I.E., Pustovoitenko V.V., Rozenberg A.D., Fuks I.M., Uspekhi fizicheskikh nauk, 1975, Vol. 116, pp. 741–743.
  4. Galaev Yu.M., Bol'shakov A.N., Efimov V.B., Kalmykov A.I., Kurekin A.S., Lementa Yu.A., Nelepo B.A., Ostrovskii I.E., Pichugin A.P., Pustovoitenko V.V., Terekhin Yu.V., Nekotorye kharakteristiki radiolokatsionnykh otrazhenii poverkhnost'yu morya pri uglakh padeniya, blizkikh k vertikal'nym (Certain characteristics of the sea surface radar reflection at the quasi-verticsl angles of incidence), Sevastopol': MGI AN USSR, 1978, 22 p.
  5. Egorov V.V., Min-Kho Ka., Issledovaniya Zemli iz kosmosa, 2005, No. 5, pp. 48–55.
  6. Zhukovskii A.P., Onoprienko E.I., Chizhov V.I., Teoreticheskie osnovy radiovysotometrii (Theory of radio altimetry), Moscow: Sov radio, 1979, 320 p.
  7. Zapevalov A.S., Izvestiya RAN. Fizika atmosfery i okeana, 2012a, Vol. 48, No. 2, pp. 224–231.
  8. Zapevalov A.S., Meteorologiya i gidrologiya, 2011, No. 9, pp. 78–85.
  9. Zapevalov A.S., Statisticheskie modeli vzvolnovannoi morskoi poverkhnosti. Dlya zadach distantsionnogo zondirovaniya (Statistical models of disturbed sea surface for remote sensing tasks), LAP Lambert Academic Publishing, 2012b, 69 p.
  10. Zapevalov A.S., Bol'shakov A.N., Smolov V.E., Okeanologiya, 2011, Vol. 51, No. 3, pp. 432–439.
  11. Zapevalov A.S., Pustovoitenko V.V., Issledovaniya Zemli iz kosmosa, 2012, No. 5, pp. 12–21.
  12. Zapevalov A.S., Pustovoitenko V.V., Izvestiya vuzov. Radiofizika, 2010, Vol. 53, No. 2, pp. 110–121.
  13. Zapevalov A.S., Ratner Yu.B., Morskoi gidrofizicheskii zhurnal, 2003, No. 1, pp. 3–17.
  14. Kendall M.Dzh., St'yuart A., Teoriya raspredelenii (Distribution theory), Moscow: Nauka, 1966, 587 p.
  15. Lavrova O.Yu., Kostianoy A.G., Lebedev S.A., Mityagina M.I., Ginzburg A.I., Sheremet N.A., Kompleksnyi sputnikovyi monitoring morei Rossii (Complex Satellite Monitoring of the Russian Seas), Moscow: IKI RAN, 2011, 480 p.
  16. Longe-Khiggins M.S., Statisticheskii analiz sluchainoi dvizhushcheisya poverkhnosti (Statistical analysis of randomly moving surface), Moscow: Inostrannaya literatura, 1962, pp. 125–218.
  17. Mel'nikova O.N., Pokazeev K.V., Izvestiya RAN. Ser. Fizika atmosfery i okeana, 2009, Vol. 45, No. 3, pp. 420–425.
  18. Min-Kho Ka., Egorov V.V., Issledovaniya Zemli iz kosmosa, 2005, No. 3, pp. 32–36.
  19. Pustovoitenko V.V., Zapevalov A.S., Seriya Sovremennye problemy okeanologii (Actual problems of Oceanology), Sevastopol': NPTs “EKOSI-Gidrofizika”, 2012, Issue 11, 218 p.
  20. Khristoforov G.N., Smolov V.E., Zapevalov A.S., Izvestiya AN SSSR, Fizika atmosfery i okeana, 1991, Vol. 27, No. 8, pp. 887–889.
  21. Sharkov E.A., Obrushayushchiesya morskie volny: struktura, geometriya, elektrodinamika (Collapsing of the sea waves: Structure, geometry, electrodynamics), Moscow: Nauchnyi mir, 2009, 303 p.
  22. Barrick D., Lipa B., Analysis and interpretation of altimeter sea echo, Advances in Geophysics, 1985, Vol. 27, pp. 61–100.
  23. Brown G.S., The average impulse response of a rough surface and its applications, IEEE Transactions on Antennas and Propagation, 1977, Vol. AP-25, pp. 67–74.
  24. Callahan P.S., Rodriguez E., Retracking of Jason-1 Data, Marine Geodesy, 2004, Vol. 27, pp. 391–407.
  25. Cieślikiewicz W., Determination of the surface elevation probability distribution of wind waves using maximum entropy principle, Proceeding of the NATO Advanced Research Workshop on Water Wave Kinematics, Molde, Norway: Kluwer, 1989, pp. 345–352.
  26. Dai D., Wang W., Qian C., Sun F., Comments on the surface elevation distributions derived by Huang, Applied Ocean Research, 2002, Vol. 24, No. 3, pp. 185–188.
  27. Fu L.-L., Cazenave A., Satellite Altimetry and Earth Sciences: A Handbook of Techniques and Applications, Academic Press, 2001, Vol. 69, 463 p.
  28. Ginzburg A.I., Kostianoy A.G., Sheremet N.A., Lebedev S.A., Satellite altimetry application in the Black Sea (from “Coastal altimetry”), Berlin Heidelberg: Springer-Vertlag, 2011, pp. 367–388 (566 p.)
  29. Glazman R.E., Greysukh A., Satellite altimeter measurements of surface wind, Journal of Geophysical Research, 1993, Vol. 98, No. С2, pp. 2475–2483.
  30. Gómez-Enri J., Gommenginger C.P., Challenor P.G., Srokosz M.A., Drinkwater M.R., ENVISAT radar altimeter tracker bias, Marine Geodesy, 2006, Vol. 29, pp. 19–38.
  31. Gómez-Enri J., Gommenginger C.P., Srokosz M.A., Challenor P.G., Measuring global ocean wave skewness by retracking RA-2 Envisat waveforms, Journal of Atmospheric and Oceanic Technology, 2007, Vol. 24, pp. 1102–1116.
  32. Hausman J., Zlotnicki V., Sea state bias in radar altimetry revisited, Marine Geodesy, 2010, Vol. 33(S1), pp. 336–347.
  33. Hayne G.S., Radar altimeter mean return waveforms from near-normal-incidence ocean surface scattering, IEEE Transactions on Antennas and Propagation, 1980, Vol. AP-28, pp. 687–692.
  34. Hou Y., Song G., Zhao X., Song J., Zheng Q., Statistical distribution of nonlinear random water wave surface elevation, Chinese Journal of Oceanology and Limnology, 2006, Vol. 24, No. 1, pp. 1–5.
  35. Huang N.E., Long S.R., Tung C.C., Yuan Y., Bliven L.F., A non-Gaussian joint statistical model for surface elevation of nonlinear random wave fields, Journal of Geophysical Research, 1983, Vol. 88, pp. 7597–7606.
  36. Huang N.Е., Long S.R., An experimental investigation of the surface elevation probability distribution and statistics of wind-generated waves, Journal of Fluid Mechanics, 1980, Vol. 101, No. 1, pp. 179–200.
  37. Jha A.K., Winterstein S.R., Nonlinear random ocean waves: prediction and comparison with data, Proc. 19th International symposium on offshore mechanics and arctic engineering, 2000, Paper No. OMAE 00–6125.
  38. Kinsman B., Wind waves: their Generation and Propagation on the Ocean Surface, Englewood Cliffs, New Jersey:Prentice Hall Inc., 1965, 661 p.
  39. Kumar R., Stammer D., Melville W.K., Janssen P., Electromagnetic bias estimates based on TOPEX, buoy, and wave model data, Journal of Geophysical Research, 2003, Vol. 108, No. C11. 3351, doi:10.1029/2002JC001525.
  40. Longuet-Higgins M.S., The effect of non-linearities on statistical distribution in the theory of sea waves, Journal of Fluid Mechanics, 1963, Vol. 17, No. 3, pp. 459–480.
  41. Melnikova O.N., Nivina T.V., Pokazeev K.V., On the amplification of wind nonlinear waves due to the vortex formation in separated flow, Moscow University Physics Bulletin, 2008, Vol. 63, No. 3, pp. 226–228.
  42. Moore R.K., Williams C.S., Radar terrain return at near vertical incidence, Proceedings of the Institute of Radio Engineers, 1957, Vol. 45, pp. 228–238.
  43. Phillips O.M., On the dynamics of unsteady gravity waves of finite amplitude (Part 2), Journal of Fluid Mechanics, 1961, Vol. 11, pp. 143–155.
  44. Queffeulou P., Long-term validation of wave height measurements from altimeters, Marine Geodesy, 2004, Vol. 27, p. 495.
  45. Rodriguez E., Martin J.M., Estimation of the electromagnetic bias from retracked TOPEX Data, Journal of Geophysical Research, 1994, Vol. 99, No. С12, pp. 24971–24979.
  46. Rodriguez Е., Altimetry for non-Gaussian oceans: Height biases and estimation of parameters, Journal of Geophysical Research, 1988, Vol. 93, No. C11, pp. 14107–14120.
  47. Srokosz M.A., A new statistical distribution for the surface elevation of weakly nonlinear water waves, Journal of Physical Oceanography, 1998, Vol. 28, pp. 149–155.
  48. Stokes G.G., On the theory of oscillatory waves, Trans. Cambridge Philos. Soc., 1849, Vol. 8, pp. 197–229.
  49. Sun F., Ping-Xing D., A statistical distribution of surface elevation for nonlinear random sea waves and its physical explanation, Science in China (series B), 1994, Vol. 37, No. 11, pp. 1401–1408.
  50. Tayfun M.A., Narrow-band nonlinear sea waves, Journal of Geophysical Research, 1980, Vol. 85(C3), pp. 1548–1552.
  51. Tran N., Vandemark D., Chapron B., Labroue S., Feng H., Beckley B., Vincent P., New models for satellite altimeter sea state bias correction developed using global wave model data, Journal of Geophysical Research, 2006, Vol. 111, C 09009, DOI: 10.1029/2005JC003406.
  52. Yaplee B.S., Shapiro A., Hammond D.L., Au B.B., Uliana E.A., Nanosecond radar observation of the ocean surface from a stable platform, IEEE Trans. Geosci. Electron., 1971, Vol. GE-9, pp. 170–174.