Detection Line Spectrum of Ship Radiated Noise Based on a New 3D Chaotic System

Abstract

This paper proposes a new detection model of a weak signal based on a third-order chaotic system. Using a dynamic analysis tool, such as the Lyapunov exponent and the bifurcation diagram, variations of dynamic behavior can be observed, and the weak signal underwater can be picked up. In order to improve the observability of detection signals in the time domain and frequency domain, the spectral entropy complexity algorithm (SE) and C0 complexity algorithms are used to analyze and extract the weak signal. The experimental results show that the spectrum extraction based on the complexity algorithm can accurately reflect the dynamic characteristics of the detected signal. It provides the theoretical direction and experimental data support for the application of the chaotic system in the field of acoustic detection.

A novel double-wing chaotic system with infinite equilibria and coexisting rotating attractors: Application to weak signal detection

“…In order to verify the circuit design of the proposed system in weak signal detection, a comparison is made within references. [61,64] in some aspects, as is shown in table 7. The proposed circuit has the minimum number of discrete components.…”

“…In 2015, Zhao dedicated to the application of the van Pol-Duffing oscillator in weak signal detection [60]. Hu et al used spectral entropy complexity algorithm (SE) and C 0 complexity algorithm to analyze and extract weak signals based on a three-dimensional chaotic system [61]. Although many achievements have been obtained, it is difficult to distinguish chaotic state and periodic state in Duffing system.…”

Automated weak signal frequency estimation method based on Duffing oscillator and particle swarm optimization

“…Therefore, the SE that can estimate the complexity of a time sequence from the perspective of the frequency domain is used as the quantitative index. The larger SE value means stronger chaotic characteristics [7].…”

“…Detecting weak signals submerged by strong noise has been extensively applied in hazardous gas monitoring [1], communication systems [2,3], electroencephalogram (EEG) signal processing [4], underwater vehicle detection [5][6][7][8], bearing fault diagnosis [9][10][11][12], and other scenarios. In these applications, researchers have studied many theoretical analysis tools and practical weak signal processing methods to extract * Author to whom any correspondence should be addressed.…”

“…In addition, in the underwater signal detection application, Ma et al designed a second-order stochastic resonance (SR) system [6] to detect underwater very low frequency signals in the Levy noise environment. Hu et al designed a new 3D chaotic system [7] to detect ship-radiated signals. The literature [8] proposed a coupled differential Duffing system to estimate the frequency characteristics of ship-radiated noise.…”