Summary
The transfer of the fundamental statistical characteristics, i.e. covariance function and the density of the statistical power spectrum, of a random homogeneous field across a linear homogeneous filter is investigated. The results obtained are applied to the study of the said statistical characteristics of transformed anomalous gravitational field.
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References
L. Kubáčková: Mathematical Model for Optimum Wiener Filtration of Continuous Geophysical Fields. Travaux Inst. Géophys. Acad. Tchécosl. Sci. No 321, Geofysikální sborník XVIII (1970), Academia, Praha 1972.
M. Pick, J. Pícha, V. Vyskočil: Úvod ke studiu tíhového pole Země. Academia, Praha 1973.
В. С. Пугачев: Общая теория корреляции случайных функций. Изв. АН СССР, сер. матем., 17 (1953), 401.
V. Vyskočil: Statistical Characteristics of Linear Transformations of Gravity Anomalies. Studia geoph. et geod., 13 (1969), 252.
В. Н. Страхов: К вопросу о построении найлучших вычислительных схем для трансформаций потенциальных полей. Изв. АН СССР, сер. геоф., Но 12 (1963), 1780.
L. Kubáčková: The Use of the Discrete Surface Fourier Analysis of Anomalous Fields for Resolving Them. Studia geoph. et geod., 17 (1973), 106.
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Kubáčková, L. Autocovariance function and the spectral density of the anomalous gravitational field, transformed by an integral operator of the convolution type. Stud Geophys Geod 18, 329–338 (1974). https://doi.org/10.1007/BF01627187
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DOI: https://doi.org/10.1007/BF01627187