Estimating the sea state bias of the TOPEX and POSEIDON altimeters from crossover differences

TOPEX (Ku band) and POSEIDON altimeter measurements at crossover points are used to estimate the sea state bias (SSB) of these two instruments. Different SSB models are tested, ranging from a constant fraction of the significant wave height (SWH) to more elaborate models involving up to four adjustable parameters. For TOPEX, the data show a decrease in the magnitude of the relative bias (SSB/SWH) with SWH. This behavior is well reproduced using a simple empirical model with two adjustable parameters. The three-parameter SSB model used in the NASA geophysical data records does well in explaining the wind-induced variations of the bias. A model including four adjustable parameters is needed to account for both the wind- and SWH­ related variability of the SSB. POSEIDON data analysis reveals a significantly larger SSB than for TOPEX. This bias seems to consist of a skewness plus tracker bias of -2 to -3% of SWH superimposed on a natural EM bias whose wind- and SWH-related variations are similar to those of TOPEX.

[1]  C. Valorge,et al.  Precise Centre National d'Etudes Spatiales orbits for TOPEX/POSEIDON: Is reaching 2 cm still a challenge? , 1994 .

[2]  B. Efron Bootstrap Methods: Another Look at the Jackknife , 1979 .

[3]  Donald E. Barrick,et al.  Chapter 3 Analysis and Interpretation of Altimeter Sea Echo , 1985 .

[4]  Bruce J. Haines,et al.  A summary of precise orbit computation for the Geosat Exact Repeat Mission , 1989 .

[5]  D. Chelton,et al.  Geosat altimeter observations of the surface circulation of the Southern Ocean , 1990 .

[6]  Alexander Greysukh,et al.  Satellite altimeter measurements of surface wind , 1993 .

[7]  Ernesto Rodriguez,et al.  Altimetry for non‐Gaussian oceans: Height biases and estimation of parameters , 1988 .

[8]  Victor Zlotnicki,et al.  Evaluating models of sea state bias in satellite altimetry , 1994 .

[9]  Ernesto Rodriguez,et al.  Extracting ocean surface information from altimeter returns - The deconvolution method , 1989 .

[10]  Roman E. Glazman,et al.  Effects of sea maturity on satellite altimeter measurements , 1990 .

[11]  G. S. Hayne,et al.  Sea-state-related altitude errors in the Seasat radar altimeter , 1982 .

[12]  Hubert Branger,et al.  A Ku-band laboratory experiment on the electromagnetic bias , 1993, IEEE Trans. Geosci. Remote. Sens..

[13]  M. Lefebvre,et al.  Science opportunities from the Topex/Poseidon mission , 1986 .

[14]  E. Walsh,et al.  Observations on electromagnetic bias in radar altimeter sea surface measurements , 1989 .

[15]  Robert E. McIntosh,et al.  Frequency dependence of electromagnetic bias in radar altimeter sea surface range measurements , 1991 .

[16]  Theodossios Engelis,et al.  Radial orbit error reduction and sea surface topography determination using satellite altimetry , 1987 .

[17]  B. C. Douglas,et al.  The sea state correction for GEOS 3 and SEASAT satellite altimeter data , 1983 .

[18]  Ernesto Rodriguez,et al.  The effect of small-wave modulation on the electromagnetic bias , 1992 .

[19]  Chester J. Koblinsky,et al.  On the sea-state bias of the Geosat altimeter , 1991 .

[20]  Frederick C. Jackson,et al.  The reflection of impulses from a nonlinear random sea , 1979 .

[21]  J. Minster,et al.  Estimation of the Sea-State Bias in Radar Altimeter Geosat Data from Examination of Frontal Systems , 1992 .

[22]  Victor Zlotnicki,et al.  Seasonal variability in global sea level observed with Geosat altimetry , 1989 .

[23]  Dudley B. Chelton,et al.  An apparent wave height dependence in the sea-state bias in Geosat altimeter range measurements , 1991 .

[24]  Andrew T. Jessup,et al.  Measurements of electromagnetic bias in radar altimetry , 1991 .

[25]  C. Tai,et al.  On crossover adjustment in satellite altimetry and its oceanographic implications , 1986 .

[26]  Philippe Gaspar,et al.  Global statistical analysis of TOPEX and POSEIDON data , 1994 .

[27]  M. A. Srokosz,et al.  On the joint distribution of surface elevation and slopes for a nonlinear random sea, with an application to radar altimetry , 1986 .

[28]  J. Ewing,et al.  Directional Wave Spectra Observed during JONSWAP 1973 , 1980 .

[29]  George W. Rosborough,et al.  An empirical determination of the effects of sea state bias on Seasat altimetry , 1982 .

[30]  M. Srokosz,et al.  Equilibrium wave spectrum and sea state bias in satellite altimetry , 1991 .

[31]  L. Fu,et al.  Determining the response of sea level to atmospheric pressure forcing using TOPEX/POSEIDON data , 1994 .

[32]  D. Chelton,et al.  Spectral characteristics of time‐dependent orbit errors in altimeter height measurements , 1993 .

[33]  P. B. Liebelt An Introduction To Optimal Estimation , 1967 .

[34]  M. Longuet-Higgins The effect of non-linearities on statistical distributions in the theory of sea waves , 1963, Journal of Fluid Mechanics.

[35]  Dudley B. Chelton,et al.  A geosat altimeter wind speed algorithm and a method for altimeter wind speed algorithm development , 1991 .

[36]  J. Crease The Dynamics of the Upper Ocean , 1967 .

[37]  László Hévizi,et al.  Electromagnetic bias in sea surface range measurements at frequencies of the TOPEX/Poseidon satellite , 1993, IEEE Trans. Geosci. Remote. Sens..

[38]  Richard D. Ray,et al.  Oceanic tides from Geosat altimetry , 1990 .

[39]  Lee-Lueng Fu,et al.  THE EFFECT OF THE DEGREE OF WAVE DEVELOPMENT ON THE SEA STATE BIAS IN RADAR ALTIMETRY MEASUREMENT , 1991 .