Improving absolute gravity estimates by the $L_p$-norm approximation of the ballistic trajectory
Instrumentation and Detectors
2016-02-17 v2 Geophysics
Abstract
Iteratively Re-weighted Least Squares (IRLS) were used to simulate the -norm approximation of the ballistic trajectory in absolute gravimeters. Two iterations of the IRLS delivered sufficient accuracy of the approximation without a significant bias. The simulations were performed on different samplings and perturbations of the trajectory. For the platykurtic distributions of the perturbations, the -approximation with was found to yield several times more precise gravity estimates compared to the standard least-squares. The simulation results were confirmed by processing real gravity observations performed at the excessive noise conditions.
Keywords
Cite
@article{arxiv.1509.00750,
title = {Improving absolute gravity estimates by the $L_p$-norm approximation of the ballistic trajectory},
author = {V. D. Nagornyi and S. Svitlov and A. Araya},
journal= {arXiv preprint arXiv:1509.00750},
year = {2016}
}