Multidisciplinary Journal of Science and Technology

ANALYSIS OF CONSTRUCTION OF LOCAL INTERPOLATION CUBIC SPLINES BASED ON DETAILED DATA AND ITS APPLICATION IN DIGITAL PROCESSING OF MEDICAL SIGNALS.

Qobilov Sirojiddin Sherqulovich,

Teacher of the Department of "Artificial Intelligence" at the Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi

Muminov Elyor Normurodovich

Teacher of the Department of "Artificial Intelligence" at the Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi

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Abstract

Currently, Spline functions play an important role in modern science and technology, especially in the digital processing of signals. Compared to classical interpolation methods, splines offer both higher approximation accuracy and simpler construction.
This study presents a local interpolation cubic spline model based on a linear combination of parabolas sharing two points. Its application to signal processing was analyzed through experimental data and numerical methods. The continuity of the constructed splines at node points was confirmed via graphs and numerical analysis.
The proposed method is effective in processing various geophysical and biomedical signals and is suitable for approximating integrals and solving corresponding integral equations. A one-dimensional medical signal was digitally processed, with results presented in tables and graphs.

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