Summary
Starting from the assumption that the aeromagnetic field is a Gaussian random function the probability density function of log-radial spectrum is shown to be a slightly asymmetric non-Gaussian function, [2q/2 Γ(q/2)]−1 q(q/2)−1 exp(q/2(r-exp(r))). The depth to magnetic layer is determined by maximum likelihood (ML) technique and is compared with the least square (LS) estimate. The difference between the two is only marginal, about 15%. The least square estimate is lower than the maximum likelihood estimate.
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References
P. S. Naidu,Spectrum of the potential field due to randomly distributed sources, Geophys.33 (1968), 337–345.
P. S. Naidu,Fourier transform of large scale aeromagnetic field using a modified version of fast Fourier transform, Pure and Applied Geophysics (1970) (in press).
V. S. Pugachev,Theory of random functions and its application to control problems (Pergamon Press, 1965).
A. Spector andF. S. Grant,Statistical models for interpreting aeromagnetic data, Geophys.35 (1970), 293–303.
H. L. Van Trees,Detection, estimation and modulation theory (John Wiley and Sons Inc., 1968).
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Naidu, P.S. Maximum likelihood (ML) estimation of depth from the spectrum of aeromagnetic fields. PAGEOPH 95, 141–149 (1972). https://doi.org/10.1007/BF00878862
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DOI: https://doi.org/10.1007/BF00878862