Acta Geodaetica et Cartographica Sinica

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Tikhonov Two-Parameter Regulation Algorithm in Downward Continuation of Airborne Gravity Data

  

  • Received:2010-10-11 Revised:2011-03-17 Online:2011-12-25 Published:2011-12-25

Abstract: In order to avoid the correct effect provided by regulation parameter on the downward continuation credible portion, in this paper Tikhonov two-parameter regulation algorithm was presented. Using the truncation parameter, the singular values of the normal matrix were divided into the relative large singular values (the credible portion) and the relative small singular values (the incredible portion); using regulation parameter, only the relative small singular values were corrected, and the effect induced by the high frequency error was suppressed. The truncation parameter and the regulation parameter were determined by GCV method. Using the simulative airborne gravity data based on the EGM2008, as true values of the gravity field, the results of numerical calculation examples have clearly demonstrated that this method for downward continuation of airborne gravity data is fairly efficient, and shown significant advantages.