О ТОЧНОСТИ ТРИГОНОМЕТРИЧЕСКОЙ ИНТЕРПОЛЯЦИИ

Translated title of the contribution: ON ACCURACY OF TRIGONOMETRIC INTERPOLATION

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Abstract

In this paper mean square error (N - is order of trigonometric polynomial) of a trigonometric interpolation of a periodic signal is calculated. The results are obtained for the case when interpolation time interval contains non-integer number of the signal periods. It is proved that contrary to popular opinion error tend to some value depending on Analytical expressions for the lower bound estimation of are obtained.
Translated title of the contributionON ACCURACY OF TRIGONOMETRIC INTERPOLATION
Original languageRussian
Pages (from-to)43-51
Number of pages9
JournalЦифровая обработка сигналов
Issue number1
Publication statusPublished - 2019

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