Algorithms of Multidimensional Signals Processing based on Cubic Basis Splines for Information Systems and Processes

Abstract

With the development of the digital signal processing systems, the tasks of discrete signal reconstruction have become most actual, which can be related to the function of interpolation tasks in computational mathematics. This paper presents the results of using local basis splines as a mathematical apparatus for approximation one-dimensional and two-dimensional signals used in the field of geophysics information systems. The internet service now being built would enable the geophysical information system to be accessed by organizations and people associated with the universities and scientific institutes. As a result of research, the effective methods and algorithms for calculating approximation coefficients based on windows consisting of certain numbers of signal samples are proposed. All experiments were carried out for approximation values of the linear and harmonic form analytical functions, as well as to restore the geophysical signals forms. To evaluate the reliability of the proposed methods and algorithms, the approximation results were estimated by calculating the mean square error of signal recovery.