Sundararajan transform-an application to geophysical data analysis

An integral transform, called in this study as Sundararajan transform, has been used to estimate the parameters of vertical magnetic effect of a fault structure. It differs from the well-known Hilbert transform in the property of phase shift as it yields a phase shift of 270 degrees unlike the Hilbert transform, which is a 90 degrees phase shifter. Other properties of the Sundararajan transform remain almost the same as the Hilbert transform. The transform has been tested on synthetic data and a field example of Lachlan Foldbelts, New South Wales, Australia. The results of this technique agree with the one published in the literature. The noise analysis has been examined and showed that it still provides acceptable results. The application of this transform to geophysical interpretation illustrates its potentiality, and it may be widely applied in various disciplines mainly in the field of communication engineering, signal, and image processing. An interesting property of this transform is that two successive transforms of a function return it to its original form unlike the Hilbert transform, which returns it to the negative of the original form. The procedure discussed may be automated.