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Ubelmann, C, Cornuelle B, Fu LL.  2016.  Dynamic mapping of along-track ocean altimetry: Method and performance from observing system simulation experiments. Journal of Atmospheric and Oceanic Technology. 33:1691-1699.   10.1175/jtech-d-15-0163.1   AbstractWebsite

Simulated along-track ocean altimetry data were used to implement the use of a nonlinear dynamic propagator to perform three-dimensional (time and 2D space) interpolation of mesoscale sea surface height (SSH). The method is an inverse approach to processing altimetry data unevenly sampled in time and space into high-level gridded altimetry maps. The inverse approach, similar to the standard objective mapping, contains some correction terms to the innovation vectors to account for nonlinear dynamics. Another key improvement is to solve for the covariance functions through a Green's function approach. From the Observing System Simulation Experiments carried out to simulate a three-satellite constellation over the Gulf Stream region, the new method can significantly reduce mapping errors and improve the resolving capabilities compared to the standard linear objective analysis such as that used by the AVISO gridding.