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This article introduces the concept of output observer to chaos synchronisation applications. Here output observer is understood as a low order system designed to estimate a single measured variable of a higher order system only. In this work we show how this notion can be used to evaluate nonlinear systems with single output, being a chaotic state variable used as an example. Following this point...
The chaotic system is sensitive to the initial value, and this property can be applied in the weak signal detection. There are periodic, critical and chaotic states in a chaotic system. When the system is in the critical state, a small perturbation of system parameter may lead to a qualitative change of the systems state. This paper introduces a method to detect the unknown weak signals by using Hu...
This paper is concerned with the weak signal detection based on the Duffing chaotic model. To solve the problem of low SNR in traditional testing methods, a method of detecting weak signals based on the Duffing oscillator coupled synchronization is proposed. Through the chaos theory and simulations, the characteristics of the coupled Duffing oscillator, the SNR threshold of the weak signal detection...
By analyzing principle and method of wavelet denoising and the Duffing oscillator, this paper presents a joint detection measurement system that was composed by wavelet denoising and the Duffing oscillator. Simulation experiment shows that using joint measurement system to detect weak signal from high noise background have a more satisfactory result, and further improve the ability of detecting weak...
The detection system of a metal detector is proposed using a chaotic system-Duffing oscillator. The Duffing equation is improved on its expression suitable for high frequency weak signal detection of a metal detector through a time scale conversion. By calculating the two Lyapunov exponents of the duffing oscillator, the threshold value in critical state has been obtained accurately and it will be...
A new signal detection and estimation method based on the intermittency transition between order and chaos is proposed. Using Melnikov function to determine the threshold of the detection system is introduced. The characteristic of Duffing oscillators with the changing of dynamics of the system is analysed. The method of detection of weak signals in strong noise based on Duffing oscillators is studied...
In order to accurately make out early fault diagnosis of rotor system with weak signal, a novel fault diagnosis method based on empirical mode decomposition(EMD) associated with chaos oscillator was presented. Weak periodic signals can be detected by identifying the transformation of the chaotic oscillator from the chaotic state to the large-scale periodic state when a weak external periodic signal...
If the SNR (Signal to Noise Rate) of sampling data is less than -10 dB, the signal is usually called ldquoweak signalrdquo. Initial phase measurement of weak sine signal has extensive engineering application merits. When the system parameter is near its threshold, the phase to be measured is also has corresponding threshold, because the threshold is the inflexion of the system state transition, then...
The incipient periodic fault characteristic signals of rolling bearing are very weak, and the useful signals submerged in the noise are difficult to be detected. A method based on Duffing oscillator is presented to diagnose the incipient fault of rolling bearing. The principle and process of detecting weak signal by using Duffing oscillator are discussed in detail. The system characters were analyzed...
The method of the weak signal detection using the Duffing oscillator's initial conditions sensitivity was analyzed, and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed. The principle of weak signal detection based on the change of phase trace is described, and the influence of noise to the system status in the chaos detection process is also studied. Simulation...
The capability of conventional detection method such as power spectral density is limited while detecting periodic signals buried in the noise and deciding accurate frequency, the chaotic oscillator can increase the detection ability of weak periodic signals and improve frequency precision. In this paper, a new method based on duffing oscillator is proposed to detect weak signals. The chaos characteristic...
In view of the Electrical Safety demand, carries on using the monolithic integrated circuit to the power source condition examines and judges and carries on the corresponding control, has realized the double power source power supply automatic cut over. The chaotic oscillator detection method uses the bifurcation behavior of the duffing oscillator to detect the signals. There are weak signals before...
Based on the principle of the chaos theory of weak signal detection, a new method is presented for Duffing oscillator used to demodulate 2FSK signal in this paper. The method can demodulate the 2FSK signal under strong noise background in the signal-to-noise rate at -25dB. Finally, the feasibility and the validity of the method were testified by the simulation.
In this paper the Duffing oscillator is applied to solve high transmitter power consumption and high probability of intercept of underwater mine. A chaotic oscillator has the property of being sensitive to weak signal and being immune to noise, which leads to a potential application in weak signal detection. The weak signals can be used as the outside periodic exciter and be brought in the Duffing...
In switch tank, fault arcs fault is constant and disastrous trouble. At the present time, the protect project of fault arcs function after generating aflame arcing, which does not avoid of generating arcing. Switch tank and electric facilities must be destructed by aflame arcing. In the paper, simulation experimentations indicate that the method of arc sounds detecting based on Lyapunov exponents...
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