Topex/Poseidon Satellite Altimetry Correcting And Harmonic Analysis Method About Continuous Function

Coastal zone and estuary are the important zones that people make production and live on. But just in these areas, tide phenomenon become more evidently. It plays a very important part in people's activities directly and indirectly. Therefore, tidal theories which are investigated experientially and theoretically are very important. This paper does some research on the phenomena of tide in the following aspects.Based on the equilibrium tidal theory, this paper does some research on the method of tidal harmonic analysis and discusses the qualities of tide, then analyses the least square method grounded on long time serial data. With this method, the paper uses the data of Lian Yun Gang's actually measured tidal level in 1979 to forecast and hindcast.Generally, while established numerical modeling of simulation in the sea zone, tidal data are obtained in only a few tide stations. Via harmonic analysis, we can calculate Astronomical Constants in the tide stations. So, we don't know the entire ocean tidal information. Two problems exist in the numerical simulation of ocean: how to give the open boundary condition and how to set up the initialization field. At the some time, depended on data of Topex/Poseidon satellite altimetry, we can compute Astronomical Constants, but they have a rather large error. If we can establish cross-correlations via the orthogonalized convolution method and the observed harmonic constituent in the gauge stations, wecan obtain predictor-corrector methods about the Astronomical Constants from the T/P satellite altimetry and tide stations. Then, we utilize data from T/P satellite altimetry to resolve open boundary condition about the numerical simulation of the ocean. . Principal tidal constituent M2 K1 are give by the computed via the orthogonalized convolution method and by the observed harmonic constituent in the 43 gauge stations in the South China Sea. Amplitudes and phase lags about constituent M2 K1 exist cross-correlations. Based on the regression analysis, the method of using the cross relation formula validates the others 10 stations. The method is compact and good, from those conclusions, we provide effective model validation for the entire South China Sea. A well-developed method will contribute the numerical simulation for the South China Sea.Then it discusses some theories of harmonic analysis based on the least square method of continuous function, by discussing the reversibility and condition number of coefficient matrix , we can calculate the needed time which forecasting mean square deviation is least in case of 306,128,63,11 tidal constituents. Based on those, it advances the time length which the mean square deviation changes markedly in case of not completely measured data and normal tidal constituent amount. Then it construct a quick iterate tidal harmonic analysis method. With the results, we can supply the open sea boundary condition for the numerical simulation. In the end, a good basic discussion of all the issues is presented here.