Analytical signal and Euler deconvolution techniques uses as a semiautomatic interpretation of magneic data to identify magnetic causative body,location-depth relationship (Keating & Pilkington, 2004; Ndlovu et al.,2015). The analytic signal is most easily derived in the wavenumber domain,since it involves the calculation of derivatives of magnetic anomalies. Thefollowing convention is used for the forward and inverse 2-D Fourier transform with k, and ky, the wavenumbers in x and y directions.
Using thisequation wavenumber domain relations can be derived between the Fouriertransforms of a magnetic anomaly M and of its orizontal and verticalderivatives (Nabighian, 1972, 1984)Defining as unit vectors in x, y, and z directions,allows the 3-D analytic signal of a potential field anomaly M to be written as From the above equation Roesr et al., (1992) showed that the amplitude function is formedthrough a combination of the horizontal and vertical gradients of a magneticanomaly. The analytic signal has a form over causative bodies (Fig.5B ) that depends onthe locations of the bodies but not on their directions of magnetization. Thesignals maxima mark the edges of the magnetized bodies or the magnetizationcontrasts occurs and is independent of the ambient magnetic field and sourcemagnetization directions (Nabighian, 1984; Roest et al., 1992; Macleod et al.
, 1993). The Locations of these maxima demarcatethe outlines of magnetic sources andsince these anomalies are caused byvertical contacts, the breadth of the peak of analytic signal can be used to estimate depths to magnetic sources (Reidet al., 1990; Roest et al., 1992) whileHsu et al., (1996) used it for geological boundary demarcation. The analyticsignal is useful in locating the edges of magnetic source bodies, particularlywhere low magnetic latitudes and/or remanent magnetization complicates theinterpretation. (Fig.