A generalization of the least-squares (LS) solution to geophysical inversions is considered. This technique is a result of applying the method of weighted least squares (WLS) to the set of equations arising from the linearized model of the geophysical system. Weighting is chosen to favor those equations resulting from shorter ray-path distance. This type of weighting results in reconstructions which are highly immune to additive noise. The WLS method was compared to the LS method for test cases featuring high and low conductivity anomalies buried in an ambient medium. For both cases, the WLS method outperformed the LS method when noise was added to the data.
|Original language||English (US)|
|Title of host publication||Digest - International Geoscience and Remote Sensing Symposium (IGARSS)|
|Place of Publication||New York, NY, USA|
|Number of pages||6|
|State||Published - 1987|
ASJC Scopus subject areas