APPLICATION OF LOCAL INTERPOLATION CUBIC SPLINE MODEL BUILT IN UNEQUAL INTERVALS IN DIGITAL PROCESSING OF SIGNALS

This article explores the application of local interpolation cubic spline models constructed at unequal intervals in the digital processing of signals. The use of third-order (cubic) spline functions for signal interpolation and restoration is examined, showcasing their efficacy in digital signal processing. The article introduces the formulation of the local interpolation cubic spline model and demonstrates its ability to achieve high precision in signal reconstruction. The proposed algorithm is exemplified through the restoration of k-waved geophysical signals, with the developed third-order spline construction program implemented in MATLAB. The results indicate the successful restoration of geophysical signals, emphasizing the effectiveness of the cubic spline model in signal processing.