Physics – Geophysics
Scientific paper
Aug 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976pepi...12..151g&link_type=abstract
(International Union of Geodesy and Geophysics, Symposium on Analysis, Processing and Interpretation of Geophysical Data, Grenob
Physics
Geophysics
11
Geodesy, Geodetic Coordinates, Network Analysis, Prediction Analysis Techniques, Stochastic Processes, Vector Analysis, Distribution Functions, Isotropic Turbulence, Kolmogoroff Theory, Legendre Functions, Markov Processes, Random Noise
Scientific paper
Vector stochastic processes which depend on coordinates of position as parameters have been used in geodesy for network analysis, prediction and collocation of hybrid Kolmogorov-Wiener-Gauss-Markov type in physical geodesy etc. The typical features of geodetic stochastic processes are summarized with special emphasis on representation theorems for vector-valued stochastic processes of second order: Taylor-Karman decomposition theorem for a stochastic process on a plane, scalar-vector or potential-turbulent decomposition of a vector stochastic process, Moritz decomposition theorem for a stochastic process on a sphere, Fourier spectra for planar processes, and Legendre spectra for spherical processes; applied to the field of vertical deflections, height anomalies, gravity anomalies and disturbing potentials. A detailed list of references for geodetic applications of stochastic processes is presented.
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