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ESTIMATION OF SPECTRUM AND CROSS‐SPECTRUM OF AEROMAGNETIC FIELD USING FAST DIGITAL FOURIER TRANSFORM (FDFT) TECHNIQUES *
Author(s) -
NAIDU PRABHAKAR S.
Publication year - 1969
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.1365-2478.1969.tb02089.x
Subject(s) - fourier transform , computation , aeromagnetic survey , fast fourier transform , spectrum (functional analysis) , algorithm , discrete fourier transform (general) , field (mathematics) , fourier analysis , geology , computer science , short time fourier transform , mathematics , mathematical analysis , physics , magnetic field , quantum mechanics , pure mathematics
A bstract An efficient method of computing spectrum and cross‐spectrum of large scale aero‐magnetic field (or of any other two‐dimensional field) has been developed and programmed for a digital computer. The method uses fast Fourier transform techniques. Briefly, the method is as follows: a digitized aeromagnetic map is divided into a number of rectangular blocks. Fourier transforms of these blocks are computed using a two‐dimensional fast Fourier transform method. Finally, the amplitude of the Fourier transforms is averaged to give the desired spectrum. Computation of cross‐spectrum follows the same lines. In fact, the same programme may be used to a compute the spectrum as well as cross‐spectrum. The method has a number of computational advantages, in particular it reduces greatly computational time and storage requirements. The programme has been tested on synthetic data as well as on real aeromagnetic data. It took less than 30 seconds on an IBM 360/50 computer to compute the spectrum of an aeromagnetic map covering an area of approximately 4500 square miles.