Journal articles on the topic 'Periodic noise'

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1

Kannan, Govind, Issa M. S. Panahi, and Richard W. Briggs. "Sequentially Adapted Parallel Feedforward Active Noise Control of Noisy Sinusoidal Signals." Advances in Acoustics and Vibration 2009 (June 24, 2009): 1–13. http://dx.doi.org/10.1155/2009/694290.

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A large class of acoustic noise sources has an underlying periodic process that generates a periodic noise component, and thus their acoustic noise can in general be modeled as the sum of a periodic signal and a randomly fluctuating signal (usually a broadband background noise). Active control of periodic noise (i.e., for a mixture of sinusoids) is more effective than that of random noise. For mixtures of sinusoids in a background broadband random noise, conventional FXLMS-based single filter method does not reach the maximum achievable Noise Attenuation Level (NALmax⁡). In this paper, an alternative approach is taken and the idea of a parallel active noise control (ANC) architecture for cancelling mixtures of periodic and random signals is presented. The proposed ANC system separates the noise into periodic and random components and generates corresponding antinoises via separate noise cancelling filters, and tends to reach NALmax⁡ consistently. The derivation of NALmax⁡ is presented. Both the separation and noise cancellation are based on adaptive filtering. Experimental results verify the analytical development by showing superior performance of the proposed method, over the single-filter approach, for several cases of sinusoids in white noise.
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Guo, Yongfeng, Xiaojuan Lou, Qiang Dong, and Linjie Wang. "Stochastic resonance in a periodic potential system driven by cross-correlated noises and periodic signal." International Journal of Modern Physics B 33, no. 28 (November 10, 2019): 1950338. http://dx.doi.org/10.1142/s0217979219503387.

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In this paper, the stochastic resonance (SR) in a periodic potential system driven by cross-correlated noises and periodic signal is investigated. The signal-to-noise ratio (SNR) is used to characterize the SR. Using the algorithm of fourth-order Runge–Kutta, we obtain the curves of SNR for different parameters. The effects of some system parameters, additive Gaussian white noise and multiplicative Gaussian colored noise intensity on SR are characterized by analyzing SNR curves. When increasing system parameter and noise cross-correlation strength in SNR-D, the SR of the system can be enhanced. However, the SR will be weakened by increasing other parameters. Otherwise, the phenomena in SNR-Q are opposite to in SNR-D when increasing signal amplitude and correlation time.
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3

CHAPEAU-BLONDEAU, FRANÇOIS, and JULIO ROJAS-VARELA. "NONLINEAR SIGNAL PROPAGATION ENHANCED BY NOISE VIA STOCHASTIC RESONANCE." International Journal of Bifurcation and Chaos 10, no. 08 (August 2000): 1951–59. http://dx.doi.org/10.1142/s0218127400001249.

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A model is developed for a nonlinear line of coupled noisy threshold elements. The propagation on the line of various information-carrying signals, periodic, aperiodic or random, is analyzed. Different measures quantifying the efficacy of the propagation are calculated, including signal-to-noise ratio, cross-correlation measures, information-theoretic measures and propagation length. These measures are shown to be improvable by the addition of noise. These results establish a new instance of the nonlinear phenomenon of stochastic resonance under the form of a noise-enhanced propagation applying to a broad variety of signals and noises. The results also contain significance for the propagation of neuronal signals.
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Sun, Yahui, Ling Hong, Jun Jiang, and Zigang Li. "Estimation of Critical Conditions for Noise-Induced Bifurcation in Nonautonomous Nonlinear Systems by Stochastic Sensitivity Function." International Journal of Bifurcation and Chaos 26, no. 11 (October 2016): 1650184. http://dx.doi.org/10.1142/s0218127416501844.

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This paper proposes an efficient but simple method to determine the approximate stationary probability distribution around periodic attractors of nonautonomous nonlinear systems under multiple time-dependent parametric noises and estimate the critical noise intensity for noise-induced explosive bifurcations under a given confidence probability. After adopting a stroboscopic map constructed by a method with higher accuracy and efficiency, nonautonomous dynamical systems around periodic attractors are transformed into mapping ones. Then the mean-square analysis method of discrete systems is used to derive the stochastic sensitivity function. Based on the confidence ellipses of stochastic attractors and the global structure of deterministic nonlinear systems, the critical noise intensity of noise-induced explosive bifurcations under a given confidence probability is estimated. A Mathieu–Duffing oscillator under both multiplicative and additive noises is studied to show the validity of the proposed method.
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5

Jafari, Saeid, Petros Ioannou, and Lael Rudd. "Adaptive feedback suppression of unknown periodic components of acoustic noises with time-varying characteristics." Journal of Vibration and Control 23, no. 4 (August 9, 2016): 526–38. http://dx.doi.org/10.1177/1077546315581249.

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Effective attenuation of the noise level is an important problem in acoustic systems. In this paper, we propose a robust adaptive output feedback control scheme that can considerably attenuate narrow-band noises made up of periodic signals mixed with random noise in the presence of modeling uncertainties. The amplitude, phase and frequencies as well as the number of periodic terms are unknown and could vary with time. The performance and robustness of the proposed scheme with respect to unstructured modeling uncertainties are analyzed for continuous-time single-input, single-output systems; the results, however, are extendable to multi-channel systems. The successful attenuation of the unknown periodic components of the disturbance despite the time variations, modeling errors, and random noise is demonstrated using simulations. In addition, guidelines how to choose certain design parameters for performance improvement have been presented.
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6

LONG, FEI, and DONGCHENG MEI. "ASYMMETRIC EFFECTS ON STOCHASTIC RESONANCE IN THE BISTABLE SYSTEM SUBJECT TO CORRELATED NOISES." International Journal of Modern Physics B 26, no. 24 (August 28, 2012): 1250125. http://dx.doi.org/10.1142/s0217979212501251.

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Asymmetric effects on the stochastic resonance (SR) in the bistable system with correlated noises are investigated. Based on the theory of signal-to-noise ratio (SNR), the expressions of SNR are derived for the case of the additive signal and the case of the multiplicative signal, respectively. Through the numerical computation, it is found in both cases of additive and multiplicative periodic signals (i) The asymmetric effects on SR phenomenon in the system induced by the multiplicative noise is dependent of initial conditions, i.e., the asymmetric parameter r weakens the SR for the initial condition of x(t = 0) = x+, however, r enhances the SR for the initial condition of x(t = 0) = x-; (ii) The asymmetric effects on SR phenomenon in the system induced by the additive noise and the correlation between noises is independent of initial conditions, i.e., the r always enhance the SR; (iii) Synergistic action of the noises, the correlation between noises, the periodic signal and the system's asymmetry induces symmetry revival.
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7

Takagi, Ryota, Genti Toyokuni, and Naotaka Chikasada. "Ambient noise correlation analysis of S-net records: extracting surface wave signals below instrument noise levels." Geophysical Journal International 224, no. 3 (November 17, 2020): 1640–57. http://dx.doi.org/10.1093/gji/ggaa548.

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SUMMARY We applied ambient noise cross-correlation analysis to the cabled ocean bottom seismic network offshore northeast Japan (Seafloor observation network for earthquakes and tsunamis along the Japan Trench: S-net) to extract surface waves propagating in the ocean area of the forearc region. We found two types of peculiar pulses in the cross-correlation functions (CCFs) of ambient seismic noise records: periodic pulses mainly every minute and sharp pulses around the lag time zero. These pulses strongly contaminate the surface wave signals in the CCFs at frequencies below ∼0.1 Hz. The periodic pulses originate from periodic instrument noises, while the zero-lag pulses originate from random instrument noises which are coherent within station pairs. By developing solutions to remove the periodic and zero-lag pulses based on the characteristics of the pulses, we succeeded in extracting Rayleigh and Love wave signals from the S-net records at 0.03–0.3 Hz, while the surface wave signals at 0.03–0.1 Hz were not visible without the application of these solutions. These solutions widen the frequency range of analysis, and may be applicable to other seismic networks, particularly to recent dense but non-broad-band networks. We identified the fundamental and first higher modes of Rayleigh waves and the fundamental mode of the Love wave. The extracted surface wave signals can constrain the shear wave velocity structure from the sediment to seismogenic zone around the megathrust plate boundary in the forearc region.
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8

Seidner, D., and M. Feder. "Noise amplification of periodic nonuniform sampling." IEEE Transactions on Signal Processing 48, no. 1 (2000): 275–77. http://dx.doi.org/10.1109/78.815502.

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9

Weissman, Y. "Optical noise in frequency-periodic networks." Journal of Lightwave Technology 12, no. 9 (1994): 1660–67. http://dx.doi.org/10.1109/50.320950.

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10

Bodson, M., J. S. Jensen, and S. C. Douglas. "Active noise control for periodic disturbances." IEEE Transactions on Control Systems Technology 9, no. 1 (2001): 200–205. http://dx.doi.org/10.1109/87.896760.

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11

Reibold, R. "Weak-noise in nondissipative periodic systems." Zeitschrift f�r Physik B Condensed Matter 62, no. 3 (September 1986): 397–406. http://dx.doi.org/10.1007/bf01313463.

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12

Cheng, Li, Chang Jinfeng, Liu Zhao, Fan Shangchun, and Ding Tianhuai. "Characteristics Analysis of Joint Acoustic Echo and Noise Suppression in Periodic Drillstring Waveguide." Shock and Vibration 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/741314.

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A new method of wireless data telemetry used by oil industry uses compressional acoustic waves to transmit downhole information from the bottom hole to the surface. Unfortunately, acoustic echoes and drilling vibration noises in periodic drillstring are a major issue in transmission performance. A combined acoustic echo and noise suppression method based on wave motion characteristic in drillstring is adopted to enhance an upward-going transmitted acoustic signal. The presented scheme consists of a primary acoustic echo canceller using an array of two accelerometers for dealing with the downward-going noises and a secondary acoustic insulation structure for restraining the upward-going vibration noises. Furthermore, the secondary acoustic insulation structure exhibits a banded and dispersive spectral structure because of periodic groove configuration. By using a finite-differential algorithm for the one-dimensional propagation of longitudinal waves, acoustic receiving characteristics of transmitted signals are simulated with additive Gaussian noise in a periodic pipe structure of limited length to investigate the effects on transmission performance optimization. The results reveal that the proposed scheme can achieve a much lower error bit ratio over a specified acoustic isolation frequency range with a 30–40 dB reduction in the average noise level compared to traditional single-receiver scheme.
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13

ABE, Soichi, and Nobuo TANAKA. "361 Active noise control without reference signals for periodic noise." Proceedings of the Dynamics & Design Conference 2009 (2009): _361–1_—_361–5_. http://dx.doi.org/10.1299/jsmedmc.2009._361-1_.

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14

Hänggi, P., R. Bartussek, P. Talkner, and J. Łuczka. "Noise-induced transport in symmetric periodic potentials: White shot noise versus deterministic noise." Europhysics Letters (EPL) 35, no. 4 (August 1, 1996): 315–17. http://dx.doi.org/10.1209/epl/i1996-00573-x.

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15

Tamura, Shunsuke, Kazuhito Ito, Nobuyuki Hirose, and Shuji Mori. "Psychophysical Boundary for Categorization of Voiced–Voiceless Stop Consonants in Native Japanese Speakers." Journal of Speech, Language, and Hearing Research 61, no. 3 (March 15, 2018): 789–96. http://dx.doi.org/10.1044/2017_jslhr-h-17-0131.

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Purpose The purpose of this study was to investigate the psychophysical boundary used for categorization of voiced–voiceless stop consonants in native Japanese speakers. Method Twelve native Japanese speakers participated in the experiment. The stimuli were synthetic stop consonant–vowel stimuli varying in voice onset time (VOT) with manipulation of the amplitude of the initial noise portion and the first formant (F1) frequency of the periodic portion. There were 3 tasks, namely, speech identification to either /d/ or /t/, detection of the noise portion, and simultaneity judgment of onsets of the noise and periodic portions. Results The VOT boundaries of /d/–/t/ were close to the shortest VOT values that allowed for detection of the noise portion but not to those for perceived nonsimultaneity of the noise and periodic portions. The slopes of noise detection functions along VOT were as sharp as those of voiced–voiceless identification functions. In addition, the effects of manipulating the amplitude of the noise portion and the F1 frequency of the periodic portion on the detection of the noise portion were similar to those on voiced–voiceless identification. Conclusion The psychophysical boundary of perception of the initial noise portion masked by the following periodic portion may be used for voiced–voiceless categorization by Japanese speakers.
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16

Wu, Hao Cheng, Yong Shou Dai, Wei Feng Sun, Li Gang Li, and Ya Nan Zhang. "A Periodic Noise Separation Method Research of well Field Three-Dimensional Drill String Vibration Signal." Applied Mechanics and Materials 318 (May 2013): 27–32. http://dx.doi.org/10.4028/www.scientific.net/amm.318.27.

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Periodic noise is an important manifestation of the drill string vibration signal noise. In order to extract the characteristics of the signals which reflect the situation of the tools in drilling, the periodic components which influence the original drill string vibration signal in the well field were researched and the independent component analysis algorithm which is on the basis of negative entropy for periodic vibration noise separation was adopted. At the same time, the effect of algorithm demixing was improved where periodic noise components which existed in three directions of drill string vibration signals were used, combining with the improved particle swarm optimization algorithm to seek the optimal mixed matrix by which the multi-channel mixed-signal of independent component analysis algorithm could be structured. This method in operation was fast. And after separation each signal was of high similarity. Through the experimental simulation, the method was proven effective in the drill string vibration periodic noise signal separation.
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17

Li, Zhi Gang, Wen Jie Shu, Zhi Chuan Guan, and Ming Quan Huang. "Study on Acoustic Communication Methods in Periodic Tube Structure." Applied Mechanics and Materials 241-244 (December 2012): 2323–26. http://dx.doi.org/10.4028/www.scientific.net/amm.241-244.2323.

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With many periodical discontinuous boundaries, periodic tube structure is prone to inter-symbol interference in acoustic communication. To look for the appropriate communication method and improve the quality of acoustic communication in the structure, experiments were carried out in the real periodic structure using raised cosine ASK, FSK and BPSK modulation respectively. The results show that:in periodic tube structure, ASK, FSK, and BPSK all can realize normal acoustic communication in the condition without noise or the noise is weak. Raised cosine ASK modulation can better use transmission power and get the highest data rate (up to 65.7Kbps in the experimental structure) in un-noise environment. BPSK has the best noise immunity in the condition with noise. So, the BPSK is more suitable for the actual acoustic communication in periodic tube structure in the actual environment.
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18

Jin, Yanfei, Wenxian Xie, and Kaihe Liu. "Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises." Procedia IUTAM 22 (2017): 267–74. http://dx.doi.org/10.1016/j.piutam.2017.08.035.

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19

Sun, Qiwen, Feng Jiao, and Jianshe Yu. "The dynamics of gene transcription with a periodic synthesis rate." Nonlinear Dynamics 104, no. 4 (June 2021): 4477–92. http://dx.doi.org/10.1007/s11071-021-06569-y.

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AbstractThe periodic transcription output is ubiquitously observed in an isogenic cell population. To understand mechanisms of cyclic behavior in transcription, we extend the gene activation process in the two-state model by assuming that the synthesis rate is periodic. We derive the analytical forms of the mean transcript level and the noise. The limits of them indicate that the mean level and the noise display periodic behaviors. Numerical examples strongly suggest that the transcription system with a periodic synthesis rate generates more noise than that with a constant rate but maintains transcription homeostasis in each period. It is also suggested that if the periodicity is not considered, the calculated noise may be greater than the real value.
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20

Nagy, Balázs, János Botzheim, and Péter Korondi. "Magnetic Angular Rate and Gravity Sensor Based Supervised Learning for Positioning Tasks." Sensors 19, no. 24 (December 5, 2019): 5364. http://dx.doi.org/10.3390/s19245364.

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This paper deals with sensor fusion of magnetic, angular rate and gravity sensor (MARG). The main contribution of this paper is the sensor fusion performed by supervised learning, which means parallel processing of the different kinds of measured data and estimating the position in periodic and non-periodic cases. During the learning phase, the position estimated by sensor fusion is compared with position data of a motion capture system. The main challenge is avoiding the error caused by the implicit integral calculation of MARG. There are several filter based signal processing methods for disturbance and noise estimation, which are calculated for each sensor separately. These classical methods can be used for disturbance and noise reduction and extracting hidden information from it as well. This paper examines the different types of noises and proposes a machine learning-based method for calculation of position and orientation directly from nine separate sensors. This method includes the disturbance and noise reduction in addition to sensor fusion. The proposed method was validated by experiments which provided promising results on periodic and translational motion as well.
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Meng, Yun Liang, Chang Xing Pei, and Dong Wu Li. "Stochastic Resonance in a Complex Nonlinear System Driven by Complex Periodic Signal and Noise." Applied Mechanics and Materials 667 (October 2014): 269–72. http://dx.doi.org/10.4028/www.scientific.net/amm.667.269.

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The phenomenon of stochastic resonance in a complex nonlinear system which is excited by both complex weak periodic signal and noise is investigated in this paper. The model of complex nonlinear system is given, and the effects of the input periodic signal amplitude and the noise intensity on the response amplitude of the system at the periodic signal frequency are discussed through numerical simulations. It is shown that the response amplitude of the system to the input periodic signal displays a non-monotonic dependence on the noise intensity, and the response peaks at a particular value of the noise intensity, which is known as stochastic resonance. The results in this paper propose a new way for controlling stochastic resonance in a complex nonlinear system.
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Zhao, Lin, Nan Li, Hui Li, Renlong Wang, and Menghao Li. "BDS Satellite Clock Prediction Considering Periodic Variations." Remote Sensing 13, no. 20 (October 11, 2021): 4058. http://dx.doi.org/10.3390/rs13204058.

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The periodic noise exists in BeiDou navigation satellite system (BDS) clock offsets. As a commonly used satellite clock prediction model, the spectral analysis model (SAM) typically detects and identifies the periodic terms by the Fast Fourier transform (FFT) according to long-term clock offset series. The FFT makes an aggregate assessment in frequency domain but cannot characterize the periodic noise in a time domain. Due to space environment changes, temperature variations, and various disturbances, the periodic noise is time-varying, and the spectral peaks vary over time, which will affect the prediction accuracy of the SAM. In this paper, we investigate the periodic noise and its variations present in BDS clock offsets, and improve the clock prediction model by considering the periodic variations. The periodic noise and its variations over time are analyzed and quantified by short time Fourier transform (STFT). The results show that both the amplitude and frequency of the main periodic term in BDS clock offsets vary with time. To minimize the impact of periodic variations on clock prediction, a time frequency analysis model (TFAM) based on STFT is constructed, in which the periodic term can be quantified and compensated accurately. The experiment results show that both the fitting and prediction accuracy of TFAM are better than SAM. Compared with SAM, the average improvement of the prediction accuracy using TFAM of the 6 h, 12 h, 18 h and 24 h is in the range of 6.4% to 10% for the GNSS Research Center of Wuhan University (WHU) clock offsets, and 11.1% to 14.4% for the Geo Forschungs Zentrum (GFZ) clock offsets. For the satellites C06, C14, and C32 with marked periodic variations, the prediction accuracy is improved by 26.7%, 16.2%, and 16.3% for WHU clock offsets, and 29.8%, 16.0%, 21.0%, and 9.0% of C06, C14, C28, and C32 for GFZ clock offsets.
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23

Hu, Cheng Jun, Yuan Zheng, and Han Bo Zhao. "Periodic Signal Detection in Ship Radiated Noise." Advanced Materials Research 1049-1050 (October 2014): 1577–80. http://dx.doi.org/10.4028/www.scientific.net/amr.1049-1050.1577.

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Periodic signal is abundant in ship radiated noise. Its detection is an important step towards active control of ship’s acoustic signature. Based on power spectrum analysis and DEMON analysis, an approach to detect line spectrum and modulation spectrum of ship radiated noise is proposed. Periodogram method is used for power spectrum estimation. The separation of line and continuous spectrum, false positive removal, and line spectrum merging are conducted to improve the quality of detected characteristic line spectrum. Via DEMON analysis, steady physical characteristics including propeller’s rotational speed and number of blades are obtained. Finally, the effectiveness of the approach is demonstrated by simulation results.
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Mu, Jing, Chao Tao, and Gonghuan Du. "Extracting periodic driving signal from chaotic noise *." Progress in Natural Science 13, no. 9 (September 1, 2003): 666–71. http://dx.doi.org/10.1080/10020070312331344210.

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25

Oliaei, O. "Laplace domain analysis of periodic noise modulation." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 50, no. 4 (April 2003): 584–88. http://dx.doi.org/10.1109/tcsi.2003.809804.

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26

Luczka, J., R. Bartussek, and P. Hänggi. "White-Noise-Induced Transport in Periodic Structures." Europhysics Letters (EPL) 31, no. 8 (September 10, 1995): 431–36. http://dx.doi.org/10.1209/0295-5075/31/8/002.

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27

Sujbert, László, and Gábor Péceli. "Signal model based periodic noise controller design." Measurement 20, no. 2 (February 1997): 135–41. http://dx.doi.org/10.1016/s0263-2241(97)00027-4.

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28

Kapral, Raymond, and Simon J. Fraser. "Dynamics of oscillators with periodic dichotomous noise." Journal of Statistical Physics 70, no. 1-2 (January 1993): 61–76. http://dx.doi.org/10.1007/bf01053954.

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29

Spiechowicz, J., and J. Łuczka. "Poissonian noise assisted transport in periodic systems." Physica Scripta T165 (October 1, 2015): 014015. http://dx.doi.org/10.1088/0031-8949/2015/t165/014015.

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30

Borromeo, M., and F. Marchesoni. "Noise-assisted transport on symmetric periodic substrates." Chaos: An Interdisciplinary Journal of Nonlinear Science 15, no. 2 (June 2005): 026110. http://dx.doi.org/10.1063/1.1858651.

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Ji, Zhen, Zhong Ming, Qi Li, and Qinghua Wu. "Reducing periodic noise using soft morphology filter." Journal of Electronics (China) 21, no. 2 (March 2004): 159–62. http://dx.doi.org/10.1007/bf02687832.

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Mondal, M. Shahjahan, and Saleh A. Wasimi. "Periodic Transfer Function-Noise Model for Forecasting." Journal of Hydrologic Engineering 10, no. 5 (September 2005): 353–62. http://dx.doi.org/10.1061/(asce)1084-0699(2005)10:5(353).

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Kirillov, Aleksandr. "Non-periodic Tiling of Procedural Noise Functions." Proceedings of the ACM on Computer Graphics and Interactive Techniques 1, no. 2 (August 24, 2018): 1–15. http://dx.doi.org/10.1145/3233306.

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Sun, Zhang, Shi, and Gou. "Extraction of Partial Discharge Pulses from the Complex Noisy Signals of Power Cables Based on CEEMDAN and Wavelet Packet." Energies 12, no. 17 (August 22, 2019): 3242. http://dx.doi.org/10.3390/en12173242.

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While both periodic narrowband noise and white noise are significant sources of interference in the detection and localization of partial discharge (PD) signals in power cables, existing research has focused nearly exclusively on white noise suppression. This paper addresses this issue by proposing a new signal extraction method for effectively detecting random PD signals in power cables subject to complex noise environments involving both white noise and periodic narrowband noise. Firstly, the power cable signal was decomposed using complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN), and the periodic narrowband noise and frequency aliasing in the obtained signal components were suppressed using singular value decomposition. Then, signal components contributing significantly to the PD signal were determined according to the cross-correlation coefficient between each component and the original PD signal, and the PD signal was reconstructed solely from the obtained significant components. Finally, the wavelet packet threshold method was used to filter out residual white noise in the reconstructed PD signal. The performance of the proposed algorithm was demonstrated by its application to synthesized PD signals with complex noise environments composed of both Gaussian white noise and periodic narrowband noise. In addition, the time-varying kurtosis method was demonstrated to accurately determine the PD signal arrival time when applied to PD signals extracted by the proposed method from synthesized signals in complex noise environments with signal-to-noise ratio (SNR) values as low as −6 dB. When the SNR was reduced to −23 dB, the arrival time error of the PD signal was only one sampling point.
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FREITAS, J. F. L., and M. L. LYRA. "OPTIMAL TRANSITION RATE AND STOCHASTIC RESONANCE IN A BISTABLE SYSTEM DRIVEN BY POWER-LAW NOISE." International Journal of Modern Physics C 14, no. 03 (March 2003): 303–10. http://dx.doi.org/10.1142/s0129183103004486.

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In this work, we study the stochastic resonance phenomenon in a bistable nonlinear dynamical system in the presence of an uncorrelated noise source whose distribution decays asymptotically as P(ξ) ∝ 1/ξ2α. We investigate the influence of the decay exponent α on the transition rate and on the optimal noise intensity giving the maximum signal-to-noise ratio when a weak periodic signal is superposed to the external noise. We find that the transition rate achieves a maximum for a finite decay exponent α. However, the optimal noise intensity for stochastic resonance depicts a monotonic power-law correction relative to the usual behavior of nonlinear dynamical systems driven by Gaussian noises.
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FENG, TIANQUAN. "SIGNAL-TO-NOISE RATIO GAIN VIA CORRELATED NOISE IN AN ENSEMBLE OF NOISY NEURONS." Journal of Biological Systems 28, no. 01 (March 2020): 111–26. http://dx.doi.org/10.1142/s0218339020500059.

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The collective response of an ensemble of leaky integrate-and-fire neurons induced by local correlated noise is investigated theoretically. Based on the linear response theory, we derive the analytic expression of signal-to-noise ratio (SNR). Numerical results show that the amplitude of internal noise can be increased up to an optimal value where the output SNR reaches a maximum value. Interestingly, we find that the correlated noise between the nearest neurons could lead to the obvious SNR gain. We also show that the SNR can reach unity under condition that the correlated noise between the nearest neurons is negative. This nonlinear amplification of SNR gain in an ensemble of noisy neurons can be related to the array stochastic resonance (SR) phenomenon. Furthermore, we also show that the SNR gain can also be optimized by tuning the number of neuron units, frequency and amplitude of the weak periodic signal.
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Zurbenko, Igor G., and Amy L. Potrzeba-Macrina. "Periods of Excess Energy in Extreme Weather Events." Journal of Climatology 2013 (December 18, 2013): 1–7. http://dx.doi.org/10.1155/2013/410898.

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The reconstruction of periodic signals that are embedded in noise is a very important task in many applications. This already difficult task is even more complex when some observations are missed or some are presented irregularly in time. Kolmogorov-Zurbenko (KZ) filtration, a well-developed method, offers a solution to this problem. One section of this paper provides examples of very precise reconstructions of multiple periodic signals covered with high level noise, noise levels that make those signals invisible within the original data. The ability to reconstruct signals from noisy data is applied to the numerical reconstruction of tidal waves in atmospheric pressure. The existence of such waves was proved by well-known naturalist Chapman, but due to the high synoptic fluctuation in atmospheric pressure he was unable to numerically reproduce the waves. Reconstruction of the atmospheric tidal waves reveals a potential intensification on wind speed during hurricanes, which could increase the danger imposed by hurricanes. Due to the periodic structure of the atmospheric tidal wave, it is predictable in time and space, which is important information for the prediction of excess force in developing hurricanes.
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Zhou, Yu Rong, and Chong Qiu Fang. "Stochastic Resonance in a Time-Delayed Logistic Growth Model Driven by Periodic Signal and White Noise." Applied Mechanics and Materials 117-119 (October 2011): 703–7. http://dx.doi.org/10.4028/www.scientific.net/amm.117-119.703.

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stochastic resonance; time-delayed Logistic growth model; signal-to-noise ratio Abstract. The stochastic resonance in a time-delayed Logistic growth model subject to correlated multiplicative and additive white noise as well as to multiplicative periodic signal is investigated. Using small time delay approximation, we get the expression of the signal-to-noise ratio (SNR). It is found that the SNR is a non-monotonic function of the system parameters, of the intensities of the multiplicative and additive noise, as well as of the correlation strength between the two noises. The effects of the delay time in the random force is in opposition to that of the delay time in the deterministic force.
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39

Li, Linao, and Xinlao Wei. "Suppression Method of Partial Discharge Interferences Based on Singular Value Decomposition and Improved Empirical Mode Decomposition." Energies 14, no. 24 (December 20, 2021): 8579. http://dx.doi.org/10.3390/en14248579.

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Partial discharge detection is an important means of insulation diagnosis of electrical equipment. To effectively suppress the periodic narrowband and white noise interferences in the process of partial discharge detection, a partial discharge interference suppression method based on singular value decomposition (SVD) and improved empirical mode decomposition (IEMD) is proposed in this paper. First, the partial discharge signal with periodic narrowband interference and white noise interference x(t) is decomposed by SVD. According to the distribution characteristics of single values of periodic narrowband interference signals, the singular value corresponding to periodic narrowband interference is set to zero, and the signal is reconstructed to eliminate the periodic narrowband interference in x(t). IEMD is then performed on x(t). Intrinsic mode function (IMF) is obtained by EMD, and based on the improved 3σ criterion, the obtained IMF components are statistically processed and reconstructed to suppress the influence of white noise interference. The methods proposed in this paper, SVD and SVD + EMD, are applied to process the partial discharge simulation signal and partial discharge measurement signal, respectively. We calculated the signal-to-noise ratio, normalized correlation coefficient, and mean square error of the three methods, respectively, and the results show that the proposed method suppresses the periodic narrowband and white noise interference signals in partial discharge more effectively than the other two methods.
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40

Dehay, D., and K. El Waled. "Nonparametric estimation problem for a time-periodic signal in a periodic noise." Statistics & Probability Letters 83, no. 2 (February 2013): 608–15. http://dx.doi.org/10.1016/j.spl.2012.11.008.

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41

Chechetkin, V. R., and V. V. Lobzin. "Detection of Large-Scale Noisy Multi-Periodic Patterns with Discrete Double Fourier Transform." Fluctuation and Noise Letters 19, no. 02 (November 20, 2019): 2050019. http://dx.doi.org/10.1142/s0219477520500194.

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In many processes, the variations in underlying characteristics can be approximated by noisy multi-periodic patterns. If large-scale patterns are superimposed by a noise with long-range correlations, the detection of multi-periodic patterns becomes especially challenging. To solve this problem, we developed a discrete double Fourier transform (DDFT). DDFT is based on the equidistance property of harmonics generated by multi-periodic patterns in the discrete Fourier transform (DFT) spectra. As the large-scale patterns generate long enough equidistant series, they can be detected by the iteration of the primary DFT. DDFT is defined as Fourier transform of intensity spectral harmonics or of their functions. It comprises widely used cepstrum transform as a particular case. We present also the relevant analytical criteria for the assessment of the statistical significance of peak harmonics in DDFT spectra in the presence of noise. DDFT technique was tested by extensive numerical simulations. The practical applications of the DDFT technique are illustrated by the analysis of variations in solar wind speed related to solar rotation and by the study of large-scale multi-periodic patterns in DNA sequences. The latter application can be considered as a generic example for the general spectral analysis of symbolic sequences. The results are compared with those obtained by the cepstrum transform. The mutual combination of DFT and DDFT provides an efficient technique to search for noisy large-scale multi-periodic patterns.
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42

MORI, TOSHIO, and SHOICHI KAI. "STOCHASTIC RESONANCE IN ALPHA OSCILLATORS IN THE HUMAN BRAIN." International Journal of Bifurcation and Chaos 12, no. 11 (November 2002): 2631–39. http://dx.doi.org/10.1142/s0218127402006151.

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We experimentally study stochastic resonance (SR) in the human brain through a noise effect for entrainment dynamics of the alpha (α) wave. The measurement has been carried out under the following conditions in order to obtain clear evidence of the SR phenomenon in the central nervous system. The periodic and noisy stimuli are respectively applied to the right and the left eyes of the subject independently. When only periodic and constant (but weak enough) stimulus is applied to the right eye, it does not induce any global entrainment of α-oscillators to the stimulus frequency. In this situation increasing the amplitude of the noise stimulus (frequency bandwidth from 15 to 60 Hz), harmonic entrainment occurs for a certain range of the noise amplitude and shows a sharp peak in the power spectrum of brain waves. Plotting the amplitude of the peak against the noise amplitude, a bell-type shape is seen, i.e. the maximum signal amplitude at an optimum noise. It clearly indicates the SR phenomenon. Taking account of our experimental conditions and set-up, the present SR phenomenon occurs not on the retina but on the visual processing area in the central nervous systems beyond the optic chiasma.
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43

Ning, Ai Min, Cheng Li, and Zhao Liu. "Acoustic Transceiver Optimization Analysis for Downhole Sensor Data Telemetry via Drillstring." Applied Mechanics and Materials 302 (February 2013): 389–94. http://dx.doi.org/10.4028/www.scientific.net/amm.302.389.

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Downhole sensor data telemetry using acoustic waves along the drillstring helps to know the physical and chemical properties of the formation and drilling fluid in Logging While Drilling. However, complex drillstring channel characteristics and normal downhole drilling operations will often adversely affect the quality of acoustic telemetry. Based on a theoretical channel model, we analyze the effects of transceiver optimal placements on acoustic transmission through a periodic drillstring. Considering the downhole noisy conditions including the surface noise sources, the downhole noise sources and multiple reflection echoes, dual acoustic receivers and an acoustic isolator are analyzed to improve the Signal-to-Noise Ratio and the capacity of the uplink channel. By arranging two receivers spaced one-quarter wavelength apart at receiver ends, the suppression results of one-way downlink noises are evaluated with the aid of the channel transient simulation model. Then the isolating results of uplink noises from drilling bit are investigated, with regard to the isolator placed between the downhole transmitter and a noise source. These methods, in conjunction with the complex drillstring features, show that the uses of the available transceiver design and signal processing techniques can make the drillstring as a waveguide for transmitting downhole sensor information at high data rate.
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44

Sun, Kang, Tong Wu, Xinwei Li, and Jing Zhang. "Robust Estimation of Arrival Time of Complex Noisy Partial Discharge Pulse in Power Cables Based on Adaptive Variational Mode Decomposition." Applied Sciences 10, no. 5 (March 1, 2020): 1641. http://dx.doi.org/10.3390/app10051641.

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Periodic narrowband signals and white noise are the main interferences in online detection and localization of cable partial discharge (PD), however, existing research has always focused on the white noise suppression only, which is not in line with the actual scene. A novel de-noising method for effectively extracting random PD pulse from complex and strong interferences is proposed in this paper and applied to PD localization. Firstly, an improved adaptive variational mode decomposition (AVMD) is used to decompose periodic narrowband interference, white noise, and PD signal into different intrinsic mode. According to the characteristic that the power of intrinsic mode component of periodic narrowband interference in the discrete Fourier transformation (DFT) power spectrum is much larger than that of PD and white noise, the periodic narrowband is removed out. In order to effectively filter out white noise, a scale adaptive wavelet packet decomposition method based on correlation coefficient is proposed, which decomposes the signal into high, middle, and low-frequency components. The components with low frequency, small amplitude are removed out as the white noise interference according to the threshold method, and the residual is the de-noising PD signal. Experimental results show that the proposed method can robustly suppress the interference of periodic narrowband signal and white noise, and effectively preserve the essential characteristics of the real PD signal. In the multi-sensor travelling wave based localization system of cable PD source using time-varying kurtosis, accurate estimation of first arrival time of PD pulse can be achieved by the de-noising results.
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45

Silva, Vagner Antonio Rodrigues, Alexandre Caixeta Guimarães, Joel Lavinsky, Henrique Furlan Pauna, Arthur Menino Castilho, and Agrício Nubiato Crespo. "Effect of Noise Exposure on 1,382 Metallurgical Workers in Periodic Audiometric Evaluation: A Cohort Study." Audiology and Neurotology 25, no. 6 (2020): 309–14. http://dx.doi.org/10.1159/000506894.

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<b><i>Introduction:</i></b> Noise-induced hearing loss is the most preventable cause of auditory impairment. Periodic audiometric evaluations are essential to monitor the hearing health of noise-exposed workers. <b><i>Objective:</i></b> To compare the evolution of audiometric thresholds in the initial three evaluations at frequencies of 3, 4, and 6 kHz in groups of workers exposed or not to noise. <b><i>Methods:</i></b> In this historical cohort study, audiometric evaluations were obtained from male workers between 18 and 40 years of age at six different metallurgical companies in Brazil. The workers were separated into noise-exposed and non-noise-exposed groups. The mean thresholds for 3, 4, and 6 kHz were calculated for both ears at baseline and the first and second periodic evaluations. The non-parametric Wilcoxon test was used for statistical analysis. <b><i>Results:</i></b> A total of 1,382 metallurgical workers were evaluated (1,199 noise-exposed and 183 non-noise-exposed). There was a significant difference between baseline and the first periodic evaluation (right ear – effect size = 0.62; <i>p</i> = 0.0030 and left ear – effect size = 0.74; <i>p</i> = 0.0063) and between baseline and the second periodic evaluation (right ear – effect size = 0.85; <i>p</i> = 0.004 and left ear – effect size = 0.96; <i>p</i> = 0.0002). In the non-noise-exposed group, there was no difference between baseline and the first periodic evaluation (right ear – effect size = 0.18; <i>p</i> = 0.2703 and left ear – effect size = 0.12; <i>p</i> = 0.7907) and between baseline and the second periodic evaluation (right ear – effect size = 0.29; <i>p</i> = 0.4475 and left ear – effect size = 0.41; <i>p</i> = 0.6381). <b><i>Conclusion:</i></b> In noise-exposed workers, there was a significant worsening of audiometric thresholds between baseline and the initial periodic evaluation, but there was no difference between the two post-baseline evaluations. This shows that noise exposure can quickly affect hearing, despite protective measures.
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46

Zhang, Lei, and Zhibin Li. "Spatial Complexity of a Predator-Prey Model with Holling-Type Response." Abstract and Applied Analysis 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/675378.

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We focus on a spatially extended Holling-type IV predator-prey model that contains some important factors, such as noise (random fluctuations), external periodic forcing, and diffusion processes. By a brief stability and bifurcation analysis, we arrive at the Hopf and Turing bifurcation surface and derive the symbolic conditions for Hopf and Turing bifurcation on the spatial domain. Based on the stability and bifurcation analysis, we obtain spiral pattern formation via numerical simulation. Additionally, we study the model with a color noise and external periodic forcing. From the numerical results, we know that noise or external periodic forcing can induce instability and enhance the oscillation of the species density, and the cooperation between noise and external periodic forces inherent to the deterministic dynamics of periodically driven models gives rise to the appearance of a rich transport phenomenology. Our results show that modeling by reaction-diffusion equations is an appropriate tool for investigating fundamental mechanisms of complex spatiotemporal dynamics.
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47

Wang, Kang-Kang, Ya-Jun Wang, and Sheng-Hong Li. "Stability and Stochastic Resonance for a Time-Delayed Cancer Development System Subjected to Noises and Multiplicative Periodic Signal." Fluctuation and Noise Letters 16, no. 03 (August 21, 2017): 1750022. http://dx.doi.org/10.1142/s0219477517500225.

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In this paper, the stability and the phenomenon of stochastic resonance (SR) for a stochastic time-delayed cancer development system that is induced by the multiplicative periodic signal, the multiplicative and the additive noises are investigated. By using the fast descent method, small time delay method and the two-state theory, the expressions of the steady state probability distribution function and the signal-to-noise ratio (SNR) are obtained. Numerical results reflect that the multiplicative and additive noise always restrain the diffusion of the cancer cells. Whereas, the time delay can not only control the spread of the tumor cells, but also suppress the extinction of cancer cells. Meanwhile, the conventional SR occurs in the tumor cell growth model under the excitation of different noises and time delay. In conclusion, the multiplicative noise always plays a critical role in restraining SR, a smaller additive noise can stimulate the SR, but the larger additive noise can weaken the SR and SNR. In particular, the time delay displays relatively complicated effects on the SR phenomenon of the system. It plays different roles in motivating or suppressing SR under the different conditions of parameters.
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48

Han, Zhao, and Xiaoli Wang. "A Signal Period Detection Algorithm Based on Morphological Self-Complementary Top-Hat Transform and AMDF." Information 10, no. 1 (January 11, 2019): 24. http://dx.doi.org/10.3390/info10010024.

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Period detection technology for weak characteristic signals is very important in the fields of speech signal processing, mechanical engineering, etc. Average magnitude difference function (AMDF) is a widely used method to extract the period of periodic signal for its low computational complexity and high accuracy. However, this method has low detection accuracy when the background noise is strong. In order to improve this method, this paper proposes a new method of period detection of the signal with single period based on the morphological self-complementary Top-Hat (STH) transform and AMDF. Firstly, the signal is de-noised by the morphological self-complementary Top-Hat transform. Secondly, the average magnitude difference function of the noise reduction sequence is calculated, and the falling trend is suppressed. Finally, a calculating adaptive threshold is used to extract the peaks at the position equal to the period of periodic signal. The experimental results show that the accuracy of periodic extraction of AMDF after Top-Hat filtering is better than that of AMDF directly. In summary, the proposed method is reliable and stable for detecting the periodic signal with weak characteristics.
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49

Ginzburg, S. L., M. A. Pustovoit, and O. V. Gerashchenko. "Noise suppression by external noise and periodic signal in a dynamical system." Journal of Experimental and Theoretical Physics Letters 73, no. 11 (June 2001): 592–96. http://dx.doi.org/10.1134/1.1392418.

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50

Bobryk, R. V., and D. Yurchenko. "Beneficial Effect of Noise in Suppression of Self-Excited Vibrations." Fluctuation and Noise Letters 13, no. 03 (July 20, 2014): 1450022. http://dx.doi.org/10.1142/s0219477514500229.

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We discuss the possibility of full suppressions of self-excited vibrations by noise. Recently, periodic excitations have been intensively studied for this aim. We compare the used periodic and random noise excitations in the case of a two-mass system. It is shown that the random noise excitations can be more efficient under certain conditions. The telegraphic process is used as the source of noise. The mean-square (energetic) asymptotic stability of the system is a tool in study of the suppression. The stability charts are presented for different values of the transition rate of the telegraphic noise.
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