potential field images obtained in potential field data measurements are suitable tools for mineral and hydrocarbons resources explorations. these images consist of different anomalies which in many cases are contaminated with noise. the horizontal location of the boundaries of potential field anomaly sources is of interest in potential field interpretation. however, the edge of potential field...

rticle history: vailable online xxxx eywords: iscrete Hilbert transform iscrete-time analytic signal edrosian product theorem The aim of this paper is to discuss discrete-time analytic signals and to provide the derivation of Bedrosian product theorem for discrete-time Hilbert transform. With the aid of the continuous-time analytic signals we provide a new approach to produce the discretetime a...

We define the Dirichlet to Neumann operator on exterior differential forms for a compact Riemannian manifold with boundary and prove that the real additive cohomology structure of the manifold is determined by the DN operator. In particular, an explicit formula is obtained which expresses Betti numbers of the manifold through the DN operator. We express also the Hilbert transform through the DN...