Separation of magnetic fields in geophysical studies using a 2-D multi-resolution Wavelet analysis approach

Osman N. Ucan1, Serhat Seker2, A. Muhittin Albora3 and Atilla Ozmen1

1 Istanbul University, Engineering Faculty, Electrical & Electronics Department, 34850, Avcılar, İstanbul, Turkey.

E-mail: uosman@istanbul.edu.tr; aozmen@istanbul.edu.tr

2 Istanbul Technical University, Electrical & Electronics, Engineering Faculty, 80626 Maslak, İstanbul, Turkey.

E-mail: seker@elk.itu.edu.tr

3 Istanbul University, Engineering Faculty, Geophysics Department, 34850, Avcılar, İstanbul, Turkey.

E-mail: muhittin@istanbul.edu.tr

(Received 3 January 2000; accepted 22 February 2000)

Abstract: A 2-D Multi-Resolution Wavelet Analysis is applied to the magnetic field separation problem. The advantages of this method are that it does not introduce significant distortion to the shape of the original image and is not significantly affected by the overlapping power spectra of regional and residual fields. The proposed method has been tested by using a synthetic example and has yielded satisfactory results.

Key Words: Multi Resolution Analysis, Wavelet Transform, Magnetic Anomaly.