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Avtometriya

2017 year, number 6

FREQUENCY ANALYSIS OF RECURRENT VARIATIONAL P-SPLINES

E. A. Kochegurova, A. I. Kochegurov, N. E. Rozhkova
Tomsk Polytechnic University, 634050, Tomsk, prosp. Lenina, 30
Keywords: рекуррентный алгоритм, сплайн-фильтр, штрафной сплайн, вариационный сплайн, системная функция, аппаратная функция, recurrent algorithm, spline filter, free spline, variational spline, system function, hardware function

Abstract

Frequency characteristics of the procedure of spline-smoothing of information coming in real time are obtained. A recurrent spline is studied from the standpoint of the theory of linear dynamical systems. The estimation of quality and sustainability of the recursive spline filter are described. The spline transformation laws identified in a frequency analysis are confirmed by the indicators of smoothing quality in the time domain.