Open AccessThe use of FFT techniques in physical geodesy
Author(s) -
Schwarz K. P.,
Sideris M. G.,
Forsberg R.
Publication year - 1990
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1990.tb00701.x
Subject(s) - fast fourier transform , computation , covariance , convolution (computer science) , collocation (remote sensing) , spectral density , terrain , computer science , algorithm , mathematics , geography , telecommunications , statistics , artificial intelligence , cartography , machine learning , artificial neural network
SUMMARY The fast Fourier transform (FFT) technique is a very powerful tool for the efficient evaluation of gravity field convolution integrals. It can handle heterogeneous and noisy data, and thus presents a very attractive alternative to the classical, time consuming approaches, provided gridded data are available. This paper reviews the mathematics of the FFT methods as well as their practical problems, and presents examples from physical geodesy where the application of these methods is especially advantageous. The spectral evaluation of Stokes’, Vening Meinesz' and Molodensky's integrals, least‐squares collocation in the frequency domain, integrals for terrain reductions and for airborne gravity gradiometry, and the computation of covariance and power spectral density functions are treated in detail. Numerical examples illustrate the efficiency and accuracy of the FFT methods.