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CALCULATION OF THE VERTICAL GRADIENT OF THE GRAVITY FIELD USING THE FOURIER TRANSFORM *
Author(s) -
AGARWAL B. N. P.,
LAL T.
Publication year - 1972
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1972.tb00647.x
Subject(s) - fourier transform , weighting , amplitude , mathematical analysis , operator (biology) , frequency domain , continuation , mathematics , geology , function (biology) , limit (mathematics) , fourier analysis , filter (signal processing) , physics , optics , computer science , acoustics , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , computer vision , gene , programming language
A bstract Fourier transform techniques have been used to calculate the theoretical filter (amplitude) response function of N th order vertical derivative continuation operation. The amplitude response functions of the vertical gradient and its continuation follow from the same. These response functions are subsequently used to calculate the weighting coefficients suitable for two dimensional equispaced data. A shortening operator has been incorporated to limit the extent of the operator. For comparative study, some of the developed coefficient sets and the one presented in this paper are analysed in the frequency domain and their merits and demerits are discussed.