Mathematical Modeling of Phase-Locking Systems with Pulse Modulation
The paper presents a mathematical description of pulse systems and phase synchronization devices using the state variable method. The generalized structural diagram of a pulse system with phase control is analyzed. A mathematical description of the processes occurring in the system in the following...
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| Format: | Article |
| Language: | Russian |
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Educational institution «Belarusian State University of Informatics and Radioelectronics»
2024-12-01
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| Series: | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
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| Online Access: | https://doklady.bsuir.by/jour/article/view/4025 |
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| _version_ | 1839567686979289088 |
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| author | M. P. Batura L. Yu. Shilin D. P. Kukin |
| author_facet | M. P. Batura L. Yu. Shilin D. P. Kukin |
| author_sort | M. P. Batura |
| collection | DOAJ |
| description | The paper presents a mathematical description of pulse systems and phase synchronization devices using the state variable method. The generalized structural diagram of a pulse system with phase control is analyzed. A mathematical description of the processes occurring in the system in the following operating modes – the number of pulses from the feedback circuit and the number of pulses from the device input are equal, the output signal frequency is less than the specified one is proposed, as well as the frequency detection mode with a significant excess of the feedback circuit signal frequency. The considered mathematical models of the studied class of devices take into account the nonlinear nature of systems operating in the frequency phase detection mode, and significantly reduce the calculation time when modeling processes on a computer. |
| format | Article |
| id | doaj-art-981b99a551844e7f9a3f843e63591c5d |
| institution | Matheson Library |
| issn | 1729-7648 |
| language | Russian |
| publishDate | 2024-12-01 |
| publisher | Educational institution «Belarusian State University of Informatics and Radioelectronics» |
| record_format | Article |
| series | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
| spelling | doaj-art-981b99a551844e7f9a3f843e63591c5d2025-08-04T17:38:23ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482024-12-01226708010.35596/1729-7648-2024-22-6-70-802038Mathematical Modeling of Phase-Locking Systems with Pulse ModulationM. P. Batura0L. Yu. Shilin1D. P. Kukin2Belarusian State University of Informatics and RadioelectronicsBelarusian State University of Informatics and RadioelectronicsBelarusian State University of Informatics and RadioelectronicsThe paper presents a mathematical description of pulse systems and phase synchronization devices using the state variable method. The generalized structural diagram of a pulse system with phase control is analyzed. A mathematical description of the processes occurring in the system in the following operating modes – the number of pulses from the feedback circuit and the number of pulses from the device input are equal, the output signal frequency is less than the specified one is proposed, as well as the frequency detection mode with a significant excess of the feedback circuit signal frequency. The considered mathematical models of the studied class of devices take into account the nonlinear nature of systems operating in the frequency phase detection mode, and significantly reduce the calculation time when modeling processes on a computer.https://doklady.bsuir.by/jour/article/view/4025pulse systemsphase synchronization devicesoperating modepiecewise continuous mathematical models |
| spellingShingle | M. P. Batura L. Yu. Shilin D. P. Kukin Mathematical Modeling of Phase-Locking Systems with Pulse Modulation Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki pulse systems phase synchronization devices operating mode piecewise continuous mathematical models |
| title | Mathematical Modeling of Phase-Locking Systems with Pulse Modulation |
| title_full | Mathematical Modeling of Phase-Locking Systems with Pulse Modulation |
| title_fullStr | Mathematical Modeling of Phase-Locking Systems with Pulse Modulation |
| title_full_unstemmed | Mathematical Modeling of Phase-Locking Systems with Pulse Modulation |
| title_short | Mathematical Modeling of Phase-Locking Systems with Pulse Modulation |
| title_sort | mathematical modeling of phase locking systems with pulse modulation |
| topic | pulse systems phase synchronization devices operating mode piecewise continuous mathematical models |
| url | https://doklady.bsuir.by/jour/article/view/4025 |
| work_keys_str_mv | AT mpbatura mathematicalmodelingofphaselockingsystemswithpulsemodulation AT lyushilin mathematicalmodelingofphaselockingsystemswithpulsemodulation AT dpkukin mathematicalmodelingofphaselockingsystemswithpulsemodulation |