Multiresolution approximation of the gravity field

In this paper, the idea of multiresolution approximation to the gravity field of the Earth is introduced, and a new approach is developed based on wavelet theory. In this approach, the modelling of the gravity field is done based on al available data with different resolutions, while a discrete wavelet transform is utilized as a bridge, effectively linking different resolution levels. The main advantage of this approach is that it allows us to consider not only optimal estimation of gravity field signals at multiple resolutions but also the fusion of measurements at multiple resolutions. Numerical results with simulated data show the applicability of the proposed approach in physical geodesy.