Open AccessALGORITHM FOR DETERMINING PHASE SHIFT OF HARMONIC SIGNALS USING STOCHASTIC DISCRETIZATION
Author(s) -
Ірина Зайцева
Publication year - 2019
Publication title -
vestnik astrahanskogo gosudarstvennogo tehničeskogo universiteta. seriâ: upravlenie, vyčislitelʹnaâ tehnika i informatika
Language(s) - English
Resource type - Journals
eISSN - 2224-9761
pISSN - 2072-9502
DOI - 10.24143/2072-9502-2019-3-90-96
Subject(s) - discretization , harmonic , algorithm , signal (programming language) , signal processing , harmonic analysis , computer science , phase (matter) , probabilistic logic , basis (linear algebra) , radio frequency , mathematics , digital signal processing , acoustics , telecommunications , artificial intelligence , physics , mathematical analysis , geometry , quantum mechanics , computer hardware , programming language
The article focuses on the problem of estimating basic parameters of harmonic signals. An algorithm for determining the phase shift of such signals by the probabilistic-statistical method is proposed. An important advantage of the algorithm is the fact that the circulation time is aliquant to the signal period or shorter. It is important when measuring parameters of infra-low-frequency radio signals. Mathematical modeling of the algorithm was carried out to study errors and assess the possibility of practical application of the algorithm for processing infra-low-frequency radio signals at stochastic discretization. The results of a numerical experiment show that the error of determining the phase shift of harmonic signals using the developed algorithm on the basis of integral samples with stochastic discretization of time intervals according to the uniform distribution law is 1/100 of a percent, and little depends on the accuracy of signal discretization by level. The error obtained corresponds to the accuracy of discretization when translating the 12-bit ADCs into analog-digital converters. The proposed algorithm can be applied for processing infra-low-frequency radio signals in acoustics and communication, as well as in geophysical and biomedical research.