ESTIMATING THE ERROR OF LOCAL INTERPOLATION SPLINE FUNCTIONS IN THE CLASS OF   FUNCTIONS AND CREATING A DIGITAL PROCESSING MODEL OF GEOPHYSICAL SIGNALS.

Qobilov Sirojiddin Sherqulovich,; Muminov Elyor Normurodovich

Authors

Qobilov Sirojiddin Sherqulovich, 1Teacher of the Department of "Artificial Intelligence" at the Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi
Muminov Elyor Normurodovich 2Teacher of the Department of "Artificial Intelligence" at the Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi

Keywords:

Spline function, signal processing, geophysical signal

Abstract

In the modern scientific landscape, mathematical modeling plays a vital role in addressing challenges across various industrial domains. Among these, spline functions have emerged as effective tools, offering several advantages over classical interpolation methods [1,3,9]. This study focuses on error analysis and practical applications of a local interpolation cubic spline, constructed using a linear combination of parabolas with two shared points. Using experimentally acquired geophysical signal data, the error behavior of the spline model is examined through numerical analysis and graphical validation. The results confirm the model’s effectiveness in accurate signal reconstruction.

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References

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