The efficiency of the robust estimation approach based on the information about the variances of the signal itself and its several derivatives is analyzed. Comprehensive comparison of robust and optimal estimators is performed. It is shown that the robust estimator suggested provides the reliable and precise signal estimation in the presence of noise. The obtained theoretical results are illust...

This paper concerns the identification of a so-called doping profile (source term) in the system of elliptic equations modeling a semiconductor device. We give several simplification of the model and find useful adjoint problems and asymptotics motivated by applications to inverse problems and by a presence of certain small physical parameters As a result we obtain first uniqueness results for ...

We investigated the role of aquaporin-4 in the development of cerebral edema following kainic acid-induced status epilepticus (SE) using specific gravimetry and T2 MRI techniques at 6 h, 1 day, 4 days and 7 days after SE. Our results indicate significantly greater tissue edema and T2 MRI changes in AQP4(-/-) compared to AQP4(+/+) mice that peaks at about 1 day after SE (greater in hippocampus r...

Abstract With the development of photon-counting sensors, spaceborne lidars have shown many advantages in mapping underwater topography. Although a space based lidar is normally profiling system, depth penetration and vertical accuracy achieved with bathymetric superior to imagery (that only provides relative depths). Therefore, satellite derived bathymetry products use both active/passive data...

The extraction of gravity anomalies from airborne strapdown INS gravimetry has been mainly based on state-space approach (SSA), which has many advantages but displays a serious disadvantage, namely, its very limited capacity to handle space correlations (like the rigorous treatment of cross-over points). This paper examines an alternative through the well known geodetic approach, where the INS ...

Ice-sheet mass balance and ice behaviour have been effectively monitored remotely by space-borne laser ranging technology, i.e. satellite altimetry, and/or gravimetry. ICESat mission launched in 2003 has pioneered altimetry providing a large amount of elevation data related to sheet change with high spatial temporal resolution. ICESat-2, the successor mission, was 2018, continuing legacy its pr...

Models of the glacial-isostatic adjustment (GIA) to past ice-mass changes exhibit large differences in north-east Greenland owing insufficient knowledge about glacial history and Earth rheology. The GIA uncertainties feed back present-day mass-balance estimates from satellite gravimetry. Geodetic Global Navigation Satellite System (GNSS) measurements allow directly observe displacement bedrock....