Algorithm for False Alarm Stabilization against the Background of Nonstationary Noise with Trend Estimation
https://doi.org/10.32603/1993-8985-2025-28-1-77-87
Abstract
Introduction. A detection algorithm that ensures a constant value of the false alarm rate against the background of nonstationary noise, whose average value varies within a sliding window. The proposed algorithm is based on a linear approximation of the average noise level within a sliding window using the least squares method with subsequent compensation for changes in the average value. The effectiveness of the proposed algorithm was assessed using a simulation method. When working against the background of nonstationary noise, the proposed algorithm reduces the detection threshold compared to an algorithm based on calculating noise dispersion in a sliding window.
Aim. Development of a detection algorithm that takes into account the mathematical expectation of noise within a sliding window when calculating the detection threshold.
Materials and methods. The research was carried out using the mathematical apparatus of probability theory and estimation theory. The effectiveness of the developed algorithm was assessed by mathematical simulation.
Results. A detection algorithm that ensures a constant value of the false alarm value F when detecting a signal against the background of noise was developed. When working against the background of nonstationary noise, the algorithm provides the threshold signal-to-noise ratio of 3.57 dB lower than that provided by an algorithm based on calculating noise dispersion by averaging the elements of a sliding window.
Conclusion. This paper proposes an algorithm for stabilizing the false alarm rate based on assessing the noise trend and its subsequent compensation in the subtracting device. The algorithm ensures the constant value of the false alarm rate under changes in the average value of noise within a sliding window.
About the Authors
V. A. Belokurov
Ryazan State Radio Engineering University
Russian Federation
Russian Federation
Belokurov Vladimir Aleksandrovich, Dr Sci. (Eng.) (2022), Professor of the Department of Radio Engineering Systems
59/1, Gagarin St., Ryazan 390005
T. Q. Nguyen
Ryazan State Radio Engineering University
Russian Federation
Russian Federation
Nguyen Trong Quang, Specialist in Special radio engineering systems (2016, Belarusian State University of Informatics and Radioelectronics), Postgraduate student of the Department of Radio Engineering Systems
59/1, Gagarin St., Ryazan 390005
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Review
For citations:
Belokurov V.A., Nguyen T. Algorithm for False Alarm Stabilization against the Background of Nonstationary Noise with Trend Estimation. Journal of the Russian Universities. Radioelectronics. 2025;28(1):77-87. (In Russ.) https://doi.org/10.32603/1993-8985-2025-28-1-77-87
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