scholarly journals Comparison of weak signal detection performance between chaotic system and FFT

Author(s):  
Yan-Wu Wang ◽  
Min Shi ◽  
Chao Qian
Author(s):  
Long Hao ◽  
Dan Liu ◽  
Fei Liu ◽  
QingXin Wang ◽  
Lin Liang ◽  
...  

In this paper, chaotic system is applied to identify and extract the weak signals of bearing early fault which are often submerged in strong background noise. Chaotic system is an effective method in weak signal detection because of its properties of noise immunity and sensitivity to the weak periodic signal. However, chaotic system is not completely immune to noise in critical chaotic state. Aiming at this problem, four indicators are used to evaluate the detection performance of Duffing oscillators. Then, the influence of Duffing oscillator parameters on the four indicators is studied in detail and a new method is proposed to improve the detection performance of Duffing oscillator. The simulation and experimental results show that the proposed method can accurately obtain the characteristic signals of early bearing fault in a lower signal-to-noise ratio (SNR) situation.


2021 ◽  
Vol 31 (15) ◽  
Author(s):  
Bing Liu ◽  
Xiaolin Ye ◽  
Gang Hu

This paper proposes a new 3D chaotic system, which can produce infinitely many coexisting attractors. By introducing a boosted control of cosine function to an original chaotic system, as the initial conditions periodically change, the proposed chaotic system can spontaneously output infinitely many chaotic sequences of different amplitudes in two directions in the phase plane. This means that the proposed system can output more key information as a pseudo-random signal generator (PRSG). This is of great significance in the research of weak signal detection. In comparison with the original chaotic system, the chaotic behavior of the proposed system is obviously enhanced due to the introduction of the boosted control function. Then, by adding the mathematical models of a weak signal and a noise signal to the proposed chaotic system, a new chaotic oscillator, which is sensitive to the weak signal, can be restructured. With the change of weak signal amplitude and angular frequency, the dynamical state of the detection system will generate a big difference, which indicates that the weak signal can be detected successfully. Finally, the proposed chaotic system model is physically realized by DSP (Digital Signal Processing), which shows its feasibility in industrial implementation. Especially, since a third-order chaotic system is the lowest-dimensional continuous system that can generate infinitely many coexisting attractors, the proposed chaotic system is of great value in the basic research of chaos.


2021 ◽  
Vol 96 (12) ◽  
pp. 125216
Author(s):  
Shaohui Yan ◽  
Xi Sun ◽  
Qiyu Wang ◽  
Yu Ren ◽  
Wanlin Shi ◽  
...  

2014 ◽  
Vol 986-987 ◽  
pp. 1726-1729
Author(s):  
Heng Chen ◽  
Teng Fei Lei ◽  
Jing Meng ◽  
Rong Wang

In this paper, a new chaotic system is constructed. This system contains four parameters and two nonlinear terms. The fractal dimension and the heteroclinic orbit are analyzed in the system. Meanwhile, the circuit of the chaotic system is designed by using Mutisim software. The conclusion confirms the consistency of the numerical simulation and circuit. Because of the above properties, the proposed system has a wide application in such as weak signal detection secure communications and secure communications.


2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Wenhui Luo ◽  
Qingli Ou ◽  
Fei Yu ◽  
Li Cui ◽  
Jie Jin

In order to improve the complexity of the chaotic system and the accuracy of the weak signal detection, this paper propose a new hidden attractor coupled chaotic system and a corresponding weak signal detection system, which can be used to obtain the phase diagram of the proposed system using the fourth order of the Runge-Kutta method. The dynamic behavior of the chaotic system is analyzed through the bifurcation diagram, Lyapunov exponent, and power spectrum. The Lyapunov exponent is used to depict the basins of attraction for the system. After research, it is discovered that symmetry exists in the system. Comparative analysis has demonstrated that the system has higher detection accuracy and excellent antinoise performance. Finally, the circuit simulation and FPGA realization of the system indicated that the numerical simulation results are consistent with the FPGA implementation results, proving the theoretical analysis to be correct and the accuracy of the detection results.


2019 ◽  
Vol 95 (4) ◽  
pp. 3411-3421 ◽  
Author(s):  
Yasemin Erkan ◽  
Zehra Saraç ◽  
Ergin Yılmaz

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