Estimating Source Locations From Potential Field Data

A new technique is presented for solving the inverse problem of estimating the locations of a set of sources which generate a potential field from a set of observations of that field. Assuming a simple forward model, we derive an equation which is a non-linear transformation of the observed data values but is linear in a set of parameters from which the source positions may easily be extracted. The new method is tested on theoretical data sets and gives excellent results for an isolated source and good results on data generated by several interfering sources.