Different fast excitations on the improvement of stochastic resonance in bounded noise excited system

2020 ◽  
Vol 34 (26) ◽  
pp. 2050238
Author(s):  
Huayu Liu ◽  
Jianhua Yang ◽  
Houguang Liu ◽  
Shuai Shi
Keyword(s):  
Stochastic Resonance ◽  
Circuit Simulation ◽  
Bistable System ◽  
Key Factors ◽  
Vibrational Resonance ◽  
Bounded Noise ◽  
High Frequency Signal ◽  
Excited System ◽  
Improvement Effect ◽  
Fast Excitation

Stochastic resonance is significant for signal detection. In this paper, a method to improve the stochastic resonance performance in a bistable system excited by bounded noise is studied. Specifically, we add a high-frequency signal to the system as an auxiliary excitation to induce vibrational resonance and focus on the influence of the auxiliary excitation waveform on the improvement effect. We investigate the stochastic resonance performance improved by a fast excitation in different waveforms through numerical simulations. The results show that, the improvement effect of the stochastic resonance depends on the waveform of the fast excitation closely. The symmetry property and constant component of the fast excitation are two key factors. Further, we accomplish the circuit simulation by constructing a circuit to generate bounded noise and the circuit of the bistable system.

scholarly journals On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters

2021 ◽  
Vol 379 (2198) ◽  
Author(s):  
S. Morfu ◽  
B. I. Usama ◽  
P. Marquié
Keyword(s):  
Stochastic Resonance ◽  
Noise Level ◽  
Random Perturbation ◽  
Nonlinear Resonance ◽  
Image Size ◽  
Image Perception ◽  
Vibrational Resonance ◽  
High Frequency Signal ◽  
Threshold Detector ◽  
Perturbation Parameters

In this paper, we first propose a brief overview of nonlinear resonance applications in the context of image processing. Next, we introduce a threshold detector based on these resonance properties to investigate the perception of subthreshold noisy images. By considering a random perturbation, we revisit the well-known stochastic resonance (SR) detector whose best performances are achieved when the noise intensity is tuned to an optimal value. We then introduce a vibrational resonance detector by replacing the noisy perturbation with a spatial high-frequency signal. To enhance the image perception through this detector, it is shown that the noise level of the input images must be lower than the optimal noise value of the SR-based detector. Under these conditions, considering the same noise level for both detectors, we establish that the vibrational resonance (VR)-based detector significantly outperforms the SR-based detector in terms of image perception. Moreover, we show that whatever the perturbation amplitude, the best perception through the VR detector is ensured when the perturbation frequency exceeds the image size. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

Effects of Different Fast Periodic Excitations on the Pitchfork Bifurcation and Vibrational Resonance

2020 ◽  
Vol 30 (06) ◽  
pp. 2050092
Author(s):  
Jiaqi Zhang ◽  
Jianhua Yang ◽  
Zhencai Zhu ◽  
Gang Shen ◽  
Miguel A. F. Sanjuán
Keyword(s):  
Initial Conditions ◽  
Pitchfork Bifurcation ◽  
Harmonic Excitation ◽  
Bistable System ◽  
Periodic Excitation ◽  
Vibrational Resonance ◽  
Key Factor ◽  
Fast Excitation ◽  
Relationship Of ◽  
The Relationship

We investigate the effects on the pitchfork bifurcation and the vibrational resonance of an overdamped bistable system subjected to both a slow harmonic excitation and a fast periodic excitation with different waveforms. We use numerical simulations along with theoretical explanations to analyze some interesting phenomena. The bifurcation configuration depends closely on the form of the fast excitation. As a result, we have found that the key factor to influence the bifurcation configuration is the symmetry property of the fast excitation. Further, due to the relationship of the vibrational resonance with the pitchfork bifurcation, the vibrational resonance also depends closely on the form of the fast periodic excitation. Moreover, for anharmonic fast excitations, if it is asymmetric, the vibrational resonance usually depends closely on the initial conditions.

An improved adaptive stochastic resonance method for improving the efficiency of bearing faults diagnosis

2017 ◽  
Vol 232 (13) ◽  
pp. 2352-2368 ◽  
Author(s):  
Dawen Huang ◽  
Jianhua Yang ◽  
Jingling Zhang ◽  
Houguang Liu
Keyword(s):  
Stochastic Resonance ◽  
High Frequency ◽  
Signal To Noise Ratio ◽  
Fault Simulation ◽  
Resonance Method ◽  
Bistable System ◽  
Scale Transformation ◽  
High Frequency Signal ◽  
Bearing Fault ◽  
Feature Information

The general scale transformation (GST) method is used in the bistable system to deal with the weak high-frequency signal submerged into the strong noisy background. Then, an adaptive stochastic resonance (ASR) method with the GST is put forward and realized by the quantum particle swarm optimization (QPSO) algorithm. Through the bearing fault simulation signal, the ASR method with the GST is compared with the normalized scale transformation (NST) stochastic resonance (SR). The results show that the efficiency of the GST method is higher than the NST in recognizing bearing fault feature information. In order to simulate the actual engineering environment, both the adaptive GST and the NST methods are implemented to deal with the same experimental signal, respectively. The signal-to-noise ratio (SNR) of the output is obviously improved by the GST method. Specifically, the efficiency is improved greatly to extract the weak high-frequency bearing fault feature information. Moreover, under different noise intensities, although the SNR is decreased versus the increase of the noise intensity, the ASR method with the GST is still better than the traditional NST SR. The proposed GST method and the related results might have referenced value in the problem of weak high-frequency feature extraction in engineering fields.

Improving the Stochastic Resonance in a Bistable System with the Bounded Noise Excitation

2018 ◽  
Vol 173 (6) ◽  
pp. 1688-1697 ◽  
Author(s):  
Jian Zhao ◽  
Jianhua Yang ◽  
Jingling Zhang ◽  
Chengjin Wu ◽  
Dawen Huang
Keyword(s):  
Stochastic Resonance ◽  
Bistable System ◽  
Bounded Noise

Optimum Vibrational Resonance in a Time-Delay Bistable System Driven by Biharmonic Signals

2014 ◽  
Vol 651-653 ◽  
pp. 2172-2176
Author(s):  
Yun Liang Meng ◽  
Chang Xing Pei ◽  
Dong Wu Li
Keyword(s):  
Time Delay ◽  
High Frequency ◽  
Low Frequency ◽  
Signal Amplitude ◽  
Resonance Peak ◽  
Response Amplitude ◽  
Bistable System ◽  
Vibrational Resonance ◽  
Frequency Signal ◽  
High Frequency Signal

The optimum vibrational resonance in a time-delay bistable system driven by bihiarmonic signals is discussed in this paper. The theoretically expression for the response amplitude gain of low frequency signal in the time-delay bistable system is deduced, and the effects of time delay parameter on the optimum vibrational resonance peak and the required amplitude of high frequency signal are investigated. It is shown that the optimum vibrational resonance can be achieved by adjusting the high frequency signal amplitude and time delay parameter jointly. Meanwhile, the optimum vibrational resonance appeared periodically with time delay parameter and the period is equal to the period of low-frequency signal. The amplitude of high-frequency signal required for the optimum vibrational resonance can be fixed or varied with different time delay parameter depending on the ratio of the frequencies between biharmonic signals.

Construction of logic gates exploiting resonance phenomena in nonlinear systems

2021 ◽  
Vol 379 (2192) ◽  
pp. 20200238 ◽  
Author(s):  
K. Murali ◽  
S. Rajasekar ◽  
Manaoj V. Aravind ◽  
Vivek Kohar ◽  
W. L. Ditto ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Stochastic Resonance ◽  
Logic Gates ◽  
Bistable System ◽  
Periodic Forcing ◽  
Vibrational Resonance ◽  
Logic Function ◽  
Excitable Systems ◽  
Influence Of Noise ◽  
Optimal Window

A two-state system driven by two inputs has been found to consistently produce a response mirroring a logic function of the two inputs, in an optimal window of moderate noise. This phenomenon is called logical stochastic resonance (LSR). We extend the conventional LSR paradigm to implement higher-level logic architecture or typical digital electronic structures via carefully crafted coupling schemes. Further, we examine the intriguing possibility of obtaining reliable logic outputs from a noise-free bistable system, subject only to periodic forcing, and show that this system also yields a phenomenon analogous to LSR, termed Logical Vibrational Resonance (LVR), in an appropriate window of frequency and amplitude of the periodic forcing. Lastly, this approach is extended to realize morphable logic gates through the Logical Coherence Resonance (LCR) in excitable systems under the influence of noise. The results are verified with suitable circuit experiments, demonstrating the robustness of the LSR, LVR and LCR phenomena. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

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