Open AccessA comparative study of the optimal and interpolation methods for restoration a stationary continuous signal from discrete values
Author(s) -
Aleksey Maksimov,
V. V. Sergeyev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1368/3/032007
Subject(s) - interpolation (computer graphics) , distortion (music) , signal (programming language) , mathematics , algorithm , discrete time signal , linear interpolation , noise (video) , mean squared error , signal reconstruction , filter (signal processing) , image restoration , computer science , signal processing , control theory (sociology) , mathematical optimization , statistics , signal transfer function , artificial intelligence , mathematical analysis , computer vision , image processing , digital signal processing , analog signal , image (mathematics) , telecommunications , amplifier , bandwidth (computing) , polynomial , programming language , computer hardware , control (management)
In this paper, we consider the task of restoration of a continuous signal by its discrete values. We compare the optimal and interpolation restoration techniques for the continuous-discrete observation model. The expression for the root-mean-square error of the restoration of a stationary continuous signal from its discrete values is derived. For the optimal restoration case, the signal is reconstructed by the means of an optimal restoration filter. For the interpolation restoration, the signal is reconstructed with the use of linear interpolation. The results of a comparison of the root-mean-square errors of the optimal restoration and interpolation procedures with the same parameters of the input signal, additive noise, and dynamic distortion are presented.