823 citations · 1.9k across the 19 of their papers we have counts for
5 papers · 1 filter
Potential-field estimation from satellite data using scalar and vector Slepian functions
Alain Plattner, Frederik J. Simons
In the last few decades a series of increasingly sophisticated satellite missions has brought us gravity and magnetometry data of ever improving quality. To make optimal use of thi…
A spatiospectral localization approach to estimating potential fields on the surface of a sphere from noisy, incomplete data taken at satellite altitudes
Frederik J. Simons, F. A. Dahlen
Satellites mapping the spatial variations of the gravitational or magnetic fields of the Earth or other planets ideally fly on polar orbits, uniformly covering the entire globe. Th…
Minimum-variance multitaper spectral estimation on the sphere
Mark A. Wieczorek, Frederik J. Simons
We develop a method to estimate the power spectrum of a stochastic process on the sphere from data of limited geographical coverage. Our approach can be interpreted either as estim…
Spatiospectral concentration of vector fields on a sphere
Alain Plattner, Frederik J. Simons
We construct spherical vector bases that are bandlimited and spatially concentrated, or, alternatively, spacelimited and spectrally concentrated, suitable for the analysis and repr…
Scalar and vector Slepian functions, spherical signal estimation and spectral analysis
Frederik J. Simons, Alain Plattner
It is a well-known fact that mathematical functions that are timelimited (or spacelimited) cannot be simultaneously bandlimited (in frequency). Yet the finite precision of measurem…