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Factors affecting FFT gravimetric geoid determination precision
Institution:1. College of Geoexploration Science and Technology, Jilin University, Changchun, Jilin 130026, China;2. Yunnan Geological Engineering Survey and Design Institute, Kunming, Yunnan 650041, China
Abstract:The Fast Fourier Transformation (FFT) has become a routine mathematical tool for the refinement of the Earth's gravity field, such as the computation of precise gravimetric geoid and terrain corrections, particularly over a large area. This paper presents ideas and methodologies to evaluate the accuracy of geoid undulation computations using FFT. A global geopotential model is used as a ‘ground truth’ gravity field model to assess the geoid determination precision by using FFT technique. It is demonstrated that special considerations must be given for a high precision FFT gravimetric geoid determination. A maximum of a few decimetres error could be introduced by the FFT algorithm if the gravity anomalies are not long wavelength filtered and/or no zero padding is applied.
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