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Auxiliary functions of the Hilbert transform in the study of gravity anomalies
Authors:G Ramadass  I Arunkumar  S M Varaprasada Rao  N L Mohan  N Sundararajan
Institution:(1) Centre of Exploration Geophysics, Osmania University, 500 007 Hyderabad, India
Abstract:The auxiliary functions, namely amplitude, phase, envelope and instantaneous frequency of Hilbert transform over gravity anomalies of 2-D sphere, vertical fault block and horizontal circular cylinder are studied. The characteristics of these functions are established in locating and identifying the sources. The method is illustrated with a theoretical example in each case and supported by field data of gravity anomaly over Humble dome and spherical model of the Satak-Mansar area, Nagpur District, India.
Keywords:Auxiliary functions  Hilbert transform  instantaneous frequency  amplitude  phase and envelope
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