Amplification of the LFM signal by using piecewise vibrational methods

Jia, Pengxiang; Yang, Jianhua; Wu, Chensi; Sanjuán, Miguel A. F.

doi:10.1177/1077546318772257

Cited by 7 publications

(7 citation statements)

References 24 publications

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“…It means that the resonance can also be induced by adjusting the value of α. In the previous work, the peak value of the cross-correlation coefficient is hardly influenced by the amplitude of the high-frequency auxiliary signal [43]. Different from the former, in figure 10, the value of a 1 has a great effect on the η−α curve of aperiodic resonance.…”

Section: Effects Of the Fractional-order Exponent αmentioning

confidence: 74%

“…When α=3, it degenerates to the traditional bistable system. The value of α has an important role in the response of the system [43]. The specific value of α depends on the nature of the material.…”

Section: The Framework Of the Methodsmentioning

confidence: 99%

“…For the LFM signal, Jia et al apply the piecewise rescaled vibrational method to amplify the LFM signal [43,44]. However, the actual working environment often does not allow to add auxiliary signals or noise in the system.…”

Section: Introductionmentioning

confidence: 99%

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Linear frequency modulated signal induced aperiodic resonance

Zhai¹,

Yang²,

Zhang³

et al. 2020

Phys. Scr.

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A method is proposed to induce strong aperiodic resonance in a linear frequency modulated signal excited nonlinear system. The phenomenon has application value in weak linear frequency modulated signal enhancement. The spectral amplification factor is used to measure the aperiodic resonance performance. By piece-wise analysis, appropriate system parameters are found. Then, a strong resonance output is achieved. The cross-correlation coefficient between the input and the output is another measurement of aperiodic resonance. However, there is a weakness in analysis of the linear frequency modulated signal. To overcome the shortness, a modified cross-correlation coefficient is proposed. As a result, the error of the cross-correlation coefficient induced by the phase difference of the excited signal is eliminated. In addition, by adding another much faster excitation, aperiodic resonance is further enhanced by vibrational resonance.

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Section: Effects Of the Fractional-order Exponent αmentioning

confidence: 74%

Section: The Framework Of the Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Linear frequency modulated signal induced aperiodic resonance

Zhai¹,

Yang²,

Zhang³

et al. 2020

Phys. Scr.

Self Cite

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“…At last, all sub-outputs were spliced into the final output. Similar segmentation processing methods appeared in vibration resonance (Jia et al, 2019). However, such methods have great human factors when dividing signal.…”

Section: Introductionmentioning

confidence: 99%

Extracting non-stationary signal under strong noise background: Time-varying system analysis

Shan

Wang

Yang

et al. 2022

Journal of Vibration and Control

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The extraction of non-stationary feature information under strong noise background is a difficult problem. In this paper, a novel general time-varying scale transformation aperiodic stochastic resonance is proposed to extract and enhance the weak non-stationary signal under strong noise background. The theoretical framework of a parameters time-varying Duffing system is built for aperiodic stochastic resonance. By studying the resonance region migration when scale coefficient takes different values, an optimal scale transformation is achieved. Also, the time-varying system is optimized with cross-correlation coefficient as the index. Compared with the existing methods, the proposed method can be applied to stronger noise background and has stronger noise robustness. When under the same noise background, the proposed method can provide output with higher signal-to-noise ratio and higher cross-correlation coefficient. Finally, experimental analysis of faulty bearing vibration signal verifies the high accuracy, which indicates a good signal extraction and enhancement ability of the proposed method.

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“…The effect of smooth single or multiple forces has been studied extensively in Duffing oscillator [12,13,[21][22][23][24][25]. Very few researchers reported about the applications of piecewise periodic linear forces [26][27][28]. Compared to harmonic forces, these forces are effectively used to stabilize some nonlinear systems with a relatively low frequency of fast oscillations.…”

Section: Introductionmentioning

confidence: 99%

Effect of Different Forms of Periodic Piecewise Linear Forces on Duffing Oscillator

et al. 2021

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The paper highlights the effect of different forms of periodic piecewise linear forces in the ubiquitous Duffing oscillator equation. The external periodic piecewise linear forces considered are Triangular, Hat, Trapezium, Quadratic and Rectangular. With the aid of some numerical simulation tools such as bifurcation diagram, phase portrait and Poincare´ map, the different routes to chaos and various strange attractors are found to occur due to the applied forces. The effect of an ε-parametric control force in the Duffing system is also analyzed. To characterize the regular and chaotic behaviours of this system, the maximal Lyapunov exponent is employed.

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Amplification of the LFM signal by using piecewise vibrational methods

Cited by 7 publications

References 24 publications

Linear frequency modulated signal induced aperiodic resonance

Linear frequency modulated signal induced aperiodic resonance

Extracting non-stationary signal under strong noise background: Time-varying system analysis

Effect of Different Forms of Periodic Piecewise Linear Forces on Duffing Oscillator

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