ALGORITHMS DIGITAL PROCESSING OF GEOPHYSICAL SIGNALS BASED ON CUBIC BASIS SPLINES

Abstract

This article is about building spline models end algorithms for digital processing of geophysical signals. As an example, local spline and natural spline interpolation models were constructed for digital processing of geophysical signals. The use of cubic basis splines in a number of tasks, for example, in digital signal processing with large gradients, resonant peaks, and outliers, gives better accuracy results. Implementation of computational structures based on polynomial splines is associated with high hardware costs, and the algorithms obtained on their basis require large amounts of computation.

Keywords: Spline, interpolation splines, smoothing splines, the defect of splines, B-splines, cubic basis splines, coefficients, local formulas, geophysical signal, aeromagnetic survey, standard-square error