Journal of Radio Electronics. eISSN 1684-1719. 2024. №3
Full text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2024.3.5
ANALYSIS OF THE PERIODIC COMPONENT
OF THE OUTPUT SIGNAL OF A DIGITAL FILTER
UNDER CONDITIONS OF STOCHASTIC RESONANCE OCCURRENCE
Yu.M. Veshkurtsev 1, D.A. Titov 2
1 Institute of Radioelectronics, service and diagnostics
644077, Russia, Omsk, pr. Mira, 57
2 Omsk State Technical University
644050, Russia, Omsk, pr. Mira, 11
The paper was received January 25, 2024.
Abstract. The periodic component of the output signals of a digital filter based on the Lyapunov characteristic function under the influence of an additive mixture of signal and noise is studied. The possibility of using the level of the periodic component of the output signal to characterize the phenomenon of stochastic resonance in digital devices is shown. The levels of the periodic component of the output signals of a digital filter based on the Lyapunov characteristic function and a linear digital filter at different noise levels at the input are compared. The change of the level of the periodic component of the output signal depending on the noise intensity for these digital filters is shown. The results of using the periodic component of the output signal of a digital filter based on the Lyapunov characteristic function in solving the problem of signal detection on the background of noise are presented.
Key words: stochastic resonance, Lyapunov characteristic function, digital filter, quasi-deterministic signal, digital filter noise immunity.
Corresponding author: Titov Dmitry Anatolievich, dtitov2@yandex.ru
References
1. Вешкурцев Ю. М., Титов Д. А., Табакова А. С. Стохастический резонанс в цифровом фильтре на основе характеристической функции Ляпунова [Stochastic resonance in a digital filter based on the lyapunov characteristic function] // Журнал радиоэлектроники. 2023. № 6. https://doi.org/10.30898/1684-1719.2023.6.7
2. Вешкурцев Ю. М., Титов Д. А., Табакова А. С. Cпектральные характеристики выходных сигналов цифрового фильтра в условиях возникновения стохастического резонанса [Spectral characteristics of the output signals of a digital filter at stochastic resonance] // Теория и техника радиосвязи. 2023. № 2. С. 28–37.
3. Anishchenko V.S., Neiman A.B., Moss F., Schimansky-Geier L. Stochastic resonance: noise enhanced order / V.S. Anishchenko, A.B. Neiman, F. Moss, L. Schimansky-Geier. https://doi.org/10.1070/PU1999v042n01ABEH000444 // Physics-Uspekhi (Advances in Physical Sciences). 1999. V.169. №1. P.7–38.
4. Klimontovich, Yu.L. What are stochastic filtration and stochastic resonance? / Yu.L. Klimontovich https://doi.org/10.1070/PU1999v042n01ABEH000445 // Physics-Uspekhi (Advances in Physical Sciences). 1999. V.169. №1. P.39–47.
5. Шахтарин Б. И., Бурляев Д. В. Сравнение методов оценки энергетического спектра [Comparison of energy spectrum estimation methods] // Научный вестник Московского государственного технического университета гражданской авиации. 2010. № 158. С. 37-43.
6. Matlab. Functions. Periodogram power spectral density estimate. The MathWorks.URL: https://ch.mathworks.com/help/signal/ref/periodogram.html?s_tid=doc_ta (date accessed: 19.01.2024).
7. Вашкевич М. И., Азаров И. С. Сравнение частотно-временных преобразований: Фурье-анализ, вейвлеты и банки фильтров на основе фазового преобразования [Comparison of time-frequency transforms: Fourier analysis, wavelets and allpass transformed filter banks] // Цифровая обработка сигналов. 2020. № 2. С. 13-26.
8. Вешкурцев, Ю. М., Вешкурцев Н. Д., Титов Д. А. Обнаружение сигнала на фоне шумов с использованием характеристической функции [Detection of signal on the noise background with the use of the characteristic function] // Приборы и системы. Управление, контроль, диагностика. 2018. № 4. С. 40–46.
9. Среда динамического моделирования технических систем SimInTech. Справочная система SimInTech [Dynamic modeling environment for technical systems SimInTech. The help system of SimInTech]. URL: https://help.simintech.ru/#o_simintech/browsers.html (дата обращения: 19.01.2024).
For citation:
Veshkurtsev Yu.M., Titov D.A. Analysis of the periodic component of the output signal of a digital filter under conditions of stochastic resonance occurrence. // Journal of Radio Electronics. – 2024. – №. 3. https://doi.org/10.30898/1684-1719.2024.3.5 (In Russian)