An improved Liu chaotic circuit for weak signal detection

Liu, Jianming; Lin, Zhenjun; Wang, Wenbo

doi:10.1140/epjp/i2019-12534-1

Cited by 14 publications

(7 citation statements)

References 16 publications

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“…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.…”

Section: Circuit Implementationmentioning

confidence: 99%

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

et al. 2021

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By introducing a sine function, a non-autonomous multi-wing chaotic system is proposed. The system has an infinite number of equilibrium points and produces symmetrical attractors. The complex dynamical behaviors of the system are demonstrated by phase portraits, Lyapunov exponents spectrum and bifurcation diagram. The effect of driving amplitudes and initial conditions on the resulting system dynamics is then thoroughly investigated. The resulting attractors will enter different oscillatory states or have topological changes. The rotational coexisting attractors depend on the initial conditions and external amplitudes. Besides, a variety of interesting symmetrical transient behaviors and initial-offset boosting behaviors are also found. The driving amplitudes of the system affect the number of attractor wings, a weak signal detection circuit is accordingly designed to estimate the amplitude of periodic weak signals at diverse frequencies. The circuit operates near the switching threshold between the four-wing and two-wing chaotic attractor. Finally, an experimental investigation of the proposed design is performed that demonstrates the theoretical and simulation results.

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Section: Circuit Implementationmentioning

confidence: 99%

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

et al. 2021

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“…The principle of weak signal detection by Duffing oscillator is described as follows: when the measured signal is input into the chaotic system, the existence of periodic signal in the measured signal can be determined according to whether the phase trajectory is chaotic or stable periodic motion state, and the noise will not be suppressed in the process. However, the chaotic oscillator can only detect periodic signals, which has certain limitations [8]. The principle of stochastic resonance method is to use a nonlinear system to produce resonance output under the synergistic effect of input signal and noise, which is similar to the well-known resonance output in mechanics to identify weak signals.…”

Section: Introductionmentioning

confidence: 99%

A new selection method of singular values using correlation coefficients for detecting weak exponential damped sinusoidal signals under strong noise

Zhang

2024

Meas. Sci. Technol.

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Weak signal detection has attracted considerable attention in a wide range of research fields, especially the weak signal detection under strong noise is an urgent problem researches are concerned with. In this paper, a new criterion to select singular values using correlation coefficient is proposed for weak exponential damped sinusoidal signal detection, which has a wide variety of signal processing applications. The innovation of our method lies in selecting K most informative singular values rather than the most energetic singular values. The proposed method measures the similarity between component signals and useful signal through autocorrelation function and correlation coefficient, which can preserve more information of the original signal and be more suitable for weak signal detection scenarios under strong noise. The numerical experiments and analysis are performed to verify the efficiency and effectiveness of our method, which indicates the proposed method is superior to the singular value selection methods based on energy or simple difference principle for correlation coefficients. Compared with stochastic resonance methods suitable for weak signal detection under strong background noise, our proposed method also has significant advantages. Thus, the proposed method is beneficial to theoretical analysis and engineering applications.

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“…The requirement to determine a clear critical state and the lack of convergence in wide-area detection, which greatly restricts their practical application. The improved Liu system [34] addressed the issue of non-convergence in wide-area detection but still necessitates the identification of an accurate critical threshold. With the advent of memristor technology, the memristor model is gradually being applied to the field of weak signal detection, offering the advantages of wide-area detection without the need for precise critical threshold determination.…”

Section: Introductionmentioning

confidence: 99%

A memristive chaotic system and its application in weak signal detection

Yan,

Song,

Cui

et al. 2023

Phys. Scr.

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In this paper, a novel four-dimensional memristive chaotic system is constructed by incorporating a memristor model into a three-dimensional chaotic system. Through the analysis of the Lyapunov exponent, bifurcation diagram, and Poincaré cross-section of the system, it has been observed that the system is capable of exhibiting a stable chaotic state, as well as complex dynamic behaviors, such as attractor coexistence, transient chaos, and offset boosting. To validate the actual existence of the system, a real circuit has been built based on Multisim simulation, and the numerical simulation results, along with the actual simulation results, are in agreement, thereby confirming the practical feasibility of the circuit. To achieve weak signal detection, a backstepping synchronization controller has been designed, which can detect the frequency and amplitude of unknown signals. It is obvious that this method does not require the determination of the critical threshold. Instead of, it relies on the system being in a chaotic state. The proposed detection method provides a new perspective for weak signal detection.

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An improved Liu chaotic circuit for weak signal detection

Cited by 14 publications

References 16 publications

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

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

A new selection method of singular values using correlation coefficients for detecting weak exponential damped sinusoidal signals under strong noise

A memristive chaotic system and its application in weak signal detection

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