An Algorithm for Reduction to the Pole That Works at All Magnetic Latitudes

Peter J. Gunn

doi:10.1071/EG995247

ISSN: 0812-3985
E-ISSN: 1834-7533

An Algorithm for Reduction to the Pole That Works at All Magnetic Latitudes
Authors Peter J. Gunn^a
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^a Australian Geological Survey Organisation, GPO Box 378 Canberra, , ACT, 2601, Phone:(06) 249 9226, Fax:(06) 249 9986
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 26, Issue 2-3, Jun 1995, p. 247 - 254
DOI: https://doi.org/10.1071/EG995247
- Published online: 01 Jun 1995

Abstract

Classical fast Fourier transformation methods for reduction to the pole cease to produce realistic results at low magnetic inclinations because the factor by which the frequency domain field representation must be multiplied becomes infinitely large due to the denominator of this term approaching zero. The problems of the Fourier transformation method however can be avoided by performing the transformation in the space domain by convolving the field with a set of filter coefficients which perform the desired transformation. Such filter coefficients may be calculated using the Wiener design principle which produces filter coefficients for transformations such that a known input is transformed to a desired output in a manner that the mean square error between an actual output and a desired output is minimised.

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1995-06-01

2026-01-12

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References

Gunn, P. J., 1972, Application of Wiener filters to transformations of gravity and magnetic fields: Geophysical Prospecting 20, 860-871.
Gunn, P. J., 1972, Application of Wiener filters to remove autocorrelated noise from magnetic fields: Bulletin of the Australian Society of Exploration Geophysicists, 5, 127-130.
Gunn, P. J., 1975, Linear transformations of gravity and magnetic fields: Geophysical Prospecting: 23, 300-312.
Hansen, R. and Pawlowski, R.S,. 1989, Reduction to the pole at low latitudes by Wiener filtering: Geophysics 54, 1607-1613.
IBM, 1968, System/360 scientific subroutine package (360-CM-03x) Version III: IBM, New York.
Jenkins, G.M. and Watts, D.G., 1968, Spectral analysis and its applications: Holden Day, San Francisco.
MacLeod, I.N., Jones, K. and Ting Fan Dai, 1994, 3-D analytic signal in the interpretation of total magnetic field data at low magnetic latitudes: Exploration Geophysics 24, 678-687.
Levinson, N., 1947, The Wiener rms (root mean square) error criterion in filter design and prediction: Journal of Mathematical Physics 25, 261-278.
Reford, M.S., 1964, Magnetic anomalies over thin sheets: Geophysics 29, 352-356.
Robinson, E.A., 1967, Multichannel time series analysis with digital computer programs: Holden Day, San Francisco.
Treitel s. and Robinson E.A., 1966, The design of high resolution digital filters: IEEE Transactions on Geoscience Electronics GE4, 25-38.
Vacquier, V., Steenland, N.C., Henderson R.G. and Zeitz, I., 1949, Interpretation of aeromagnetic maps: Geological Society of America Memoir 47.
Wiener, N., 1951, Extrapolation, interpolation and smoothing of stationary time series: John Wiley and Sons, New York.
Wiggins, R.A. and Robinson, E.A., 1965, Recursive solutions to the multichannel filtering problem: Journal of Geophysical Research 70, 1885-1891.

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Article Type: Research Article

Keyword(s): magnetic equator; reduction to the pole; Wiener filters

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An Algorithm for Reduction to the Pole That Works at All Magnetic Latitudes

Abstract

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