Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals
Solving the problems of spectral processing of single and quasi-periodic signals in measurement and diagnostic systems is directly related to their isolation against the background of external interference or noise. The purpose of this work was to study single and quasi-periodic signals, i. e. signa...
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Belarusian National Technical University
2022-07-01
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| Series: | Приборы и методы измерений |
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| Online Access: | https://pimi.bntu.by/jour/article/view/771 |
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| author | U. V. Suchodolov A. V. Isaev A. A. Sheinikau |
| author_facet | U. V. Suchodolov A. V. Isaev A. A. Sheinikau |
| author_sort | U. V. Suchodolov |
| collection | DOAJ |
| description | Solving the problems of spectral processing of single and quasi-periodic signals in measurement and diagnostic systems is directly related to their isolation against the background of external interference or noise. The purpose of this work was to study single and quasi-periodic signals, i. e. signals limited in time, presented as separate components; development of a mathematical apparatus that connects the individual components of the original, time-limited signal, with the spectral characteristics of the periodic signal, which is obtained from the original by its periodization.The paper analyzes the spectrum of a quasi-periodic signal, which is presented from spectral density regions separated by spectral components with zero amplitude. The process of signal periodization is considered on the example of unipolar rectangular pulses. The representation of the analyzed complex single signal in the form of a linear combination of given functions, limited in time by the duration of the considered signal, was chosen, and it was determined that it is most logical and efficient to use radio-frequency pulses. The spectral density of the signal under consideration is presented as the sum of the spectral densities of radio-frequency pulses of the same width with a varying carrier frequency. The original signal is presented as the sum of the constituent components (radio-frequency pulses), which form a time-limited frequency spectrum – a quastr. As a result, the correlation of the considered quasi-periodic signal with the parameters of the periodic signal (amplitude, period, and initial phase) is shown.A format for representing time-limited signals in the form of components related to the spectral characteristics of a periodic signal, obtained from the original signal by periodization, has been developed. The formed mathematical apparatus allows simplifying the algorithmic support of measuring systems by eliminating the correlation signal processing. |
| format | Article |
| id | doaj-art-d2ceca6ef5234186a0a24f7f594cbada |
| institution | DOAJ |
| issn | 2220-9506 2414-0473 |
| language | English |
| publishDate | 2022-07-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Приборы и методы измерений |
| spelling | doaj-art-d2ceca6ef5234186a0a24f7f594cbada2025-08-20T03:22:15ZengBelarusian National Technical UniversityПриборы и методы измерений2220-95062414-04732022-07-0113212813810.21122/2220-9506-2022-13-2-128-138581Dynamic Features of Spectra of Single and Quasi-Periodic Measuring SignalsU. V. Suchodolov0A. V. Isaev1A. A. Sheinikau2Belarusian National Technical UniversityBelarusian National Technical UniversityMilitary Academy of the Republic BelarusSolving the problems of spectral processing of single and quasi-periodic signals in measurement and diagnostic systems is directly related to their isolation against the background of external interference or noise. The purpose of this work was to study single and quasi-periodic signals, i. e. signals limited in time, presented as separate components; development of a mathematical apparatus that connects the individual components of the original, time-limited signal, with the spectral characteristics of the periodic signal, which is obtained from the original by its periodization.The paper analyzes the spectrum of a quasi-periodic signal, which is presented from spectral density regions separated by spectral components with zero amplitude. The process of signal periodization is considered on the example of unipolar rectangular pulses. The representation of the analyzed complex single signal in the form of a linear combination of given functions, limited in time by the duration of the considered signal, was chosen, and it was determined that it is most logical and efficient to use radio-frequency pulses. The spectral density of the signal under consideration is presented as the sum of the spectral densities of radio-frequency pulses of the same width with a varying carrier frequency. The original signal is presented as the sum of the constituent components (radio-frequency pulses), which form a time-limited frequency spectrum – a quastr. As a result, the correlation of the considered quasi-periodic signal with the parameters of the periodic signal (amplitude, period, and initial phase) is shown.A format for representing time-limited signals in the form of components related to the spectral characteristics of a periodic signal, obtained from the original signal by periodization, has been developed. The formed mathematical apparatus allows simplifying the algorithmic support of measuring systems by eliminating the correlation signal processing.https://pimi.bntu.by/jour/article/view/771quasi-periodic measuring signalsspectrum harmonicsspectral densitydecomposition basis |
| spellingShingle | U. V. Suchodolov A. V. Isaev A. A. Sheinikau Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals Приборы и методы измерений quasi-periodic measuring signals spectrum harmonics spectral density decomposition basis |
| title | Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals |
| title_full | Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals |
| title_fullStr | Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals |
| title_full_unstemmed | Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals |
| title_short | Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals |
| title_sort | dynamic features of spectra of single and quasi periodic measuring signals |
| topic | quasi-periodic measuring signals spectrum harmonics spectral density decomposition basis |
| url | https://pimi.bntu.by/jour/article/view/771 |
| work_keys_str_mv | AT uvsuchodolov dynamicfeaturesofspectraofsingleandquasiperiodicmeasuringsignals AT avisaev dynamicfeaturesofspectraofsingleandquasiperiodicmeasuringsignals AT aasheinikau dynamicfeaturesofspectraofsingleandquasiperiodicmeasuringsignals |