https://doi.org/10.1140/epjp/s13360-024-05451-1
Regular Article
High-order double-coupled Duffing oscillator system with additional damping term and its application in ship-radiated noise signal detection
School of Electronic Engineering, Xi’an University of Posts and Telecommunications, 710121, Xi’an, Shaanxi, China
Received:
14
May
2024
Accepted:
11
July
2024
Published online:
27
July
2024
To accurately and effectively detect the frequency information of ship-radiated noise signal (S-RNS) under low signal-to-noise ratio (SNR), we propose a detection method of S-RNS based on high-order double-coupled Duffing oscillator system with additional damping term (HDCDOSADT), named the proposed detection method. According to whether the signal prior information is known or unknown, the proposed detection method is divided into detection scheme-1 (DS-1) and detection scheme-2 (DS-2). At the outset, HDCDOSADT is proposed, its system structure is expounded, and its noise immunity is also proved. By analyzing the physical characteristics of HDCDOSADT, such as energy transfer, energy dissipation, steady-state response and oscillation amplitude, the rationality of the design of HDCDOSADT is verified, and the physical dynamic controller model of HDCDOSADT is established. Next, to accurately determine the critical state threshold of HDCDOSADT, a threshold determination method based on Lyapunov exponent, bifurcation behavior and improved refined composite multiscale reverse fluctuation-based dispersion entropy (IRCMRFDE), named L-B-IRCMRFDE, is proposed. Besides, if the signal prior information is known, according to the chaotic phase diagram method, the signal is input into HDCDOSADT to realize signal detection, named DS-1. If the signal prior information is unknown, two HDCDOSADT are combined in the form of difference, and a high-order differential double-coupled Duffing oscillator system with additional damping term (HDDCDOSADT) is proposed. According to the scanning frequency method and the intermittent chaos method, the signal is input into HDDCDOSADT to realize signal detection, named DS-2. Finally, through the detection experiment of analog signal and real S-RNS, it is proved that the detection SNR threshold of DS-1 can reach − 69.4885 dB and the accuracy of DS-2 can reach 99.901%. The proposed detection method can provide practical technical support for weak signal frequency measurement of maritime targets.
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