ORTHOGONAL REPRESENTATIONS OF RANDOM-FIELDS AND AN APPLICATION TO GEOPHYSICS DATA

We present a brief summary of some results related to deriving orthogo nal representations of second-order random fields and its application in solving linear prediction problems. In the homogeneous and/or isotr opic case, the spectral theory provides an orthogonal expansion in ter ms of spherical harmonics, called spectral decomposition (Yadrenko 198 3). A prediction formula based on this orthogonal representation is sh own. Finally, an application of this formula in solving a real-data pr oblem related to prospective geophysics techniques is presented.