Proceedings of International Conference on Applied Innovation in IT
2015/03/19, Volume 3, Issue 1, pp.29-35

Comparative Analysis of Signals Restoration by Different Kinds of Approximation

Irina Strelkovskaya, Olena Lysiuk, Roman Zolotukhin

Abstract: The comparative analysis of continuous signals restoration by different kinds of approximation is performed. The software product, allowing to define optimal method of different original signals restoration by Lagrange polynomial, Kotelnikov interpolation series, linear and cubic splines, Haar wavelet and Kotelnikov-Shannon wavelet based on criterion of minimum value of mean-square deviation is proposed. Practical recommendations on the selection of approximation function for different class of signals are obtained.

Keywords: restoration, signal, approximation, Kotelnikov series, spline functions, wavelet functions, cubic spline, deviation, software product, mean-square deviation

DOI: 10.13142/kt10003.06

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