Characterization of Nonstationary Phase Noise Using the Wigner–Ville Distribution

Levy, Chagai; Pinchas, Monika; Pinhasi, Y.

doi:10.1155/2020/1685762

Cited by 3 publications

(3 citation statements)

References 33 publications

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“…Tis assumption is consistent with the literature [2][3][4][8][9][10]. However, in practical systems, malfunctions in the Master or Slave clock, such as a high temperature, environmental conditions, or physical phenomena, may cause drift in the clock skew over time [18,19]. In those cases, the system of Master and Slave may get out of synchronization.…”

Section: Introductionsupporting

confidence: 83%

A Novel Switching Algorithm to the Preferred Clock Skew Estimator Applicable for the PTP Case in the Fractional Gaussian Noise Environment

Avraham

Pinchas

2023

Mathematical Problems in Engineering

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Recently, the same authors provided a switching algorithm for the preferred clock skew estimator appropriate for the precision time protocol (PTP) scenario. The algorithm chooses the one-way delay (OWD) clock skew estimator for the Forward path or the Reverse path or the two-way delay (TWD) clock skew estimator that has the best performance in the mean square error (MSE) perspective. However, the switching algorithm applies only to the Gaussian scenario. In a real system, the packet delay variation (PDV) can be characterized as an fractional Gaussian noise (fGn) process where the Hurst exponent parameter can also have values higher than 0.5. Thus, the Gaussian case-switching algorithm may not apply in a real system where after a small set of PTP measurements, the switching algorithm should be able to switch effectively to the preferred clock skew estimator with the best performance in the MSE perspective. In this paper, the PDV is characterized as an fGn process where the Hurst exponent (H) is in the range of 0.5 ≤ H < 1 . We estimate the unknown PDV variances and the Hurst exponent parameters of the Forward and Reverse paths. These estimated parameters are used for switching to the preferred clock skew estimator from the MSE perspective, even in the presence of asymmetry in the PDV or in the Hurst exponent parameters. We also detect and alarm for the unexpected load, cyber-attack, or clock skew deviation that can occur in a real system.

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Section: Introductionsupporting

confidence: 83%

A Novel Switching Algorithm to the Preferred Clock Skew Estimator Applicable for the PTP Case in the Fractional Gaussian Noise Environment

Avraham

Pinchas

2023

Mathematical Problems in Engineering

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“…The WV distribution analysis is widely used in structural non-stationary signal analysis, fault condition monitoring, damage detection, etc. [ 25 , 26 , 27 , 28 ] Levy et al [ 25 , 26 ] proposed a new WV distribution technique-based time-frequency metric for the characterization of frequency sources, which could be used to solve problems of amplitude fluctuations, phase noise, and frequency instabilities caused by the physical mechanisms of such as the oscillators, clocks, etc. Singru et al [ 27 ] examined an experimental method for condition monitoring of bearing failures by utilizing experimental vibration signatures.…”

Section: Introductionmentioning

confidence: 99%

Accelerated Editing Method for Vehicle Durability Fatigue Load Spectrum Based on Wigner-Ville Transform

Yang

Zhang

Peng

et al. 2023

Sensors

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A Wigner-Ville transform-based (WVT-based) load spectrum fast editing method for vehicle parts is proposed to improve the efficiency of durability tests. In this method, the instantaneous energy spectrum (IES) of the original time-domain signal is obtained via the Wigner-Ville transform, which is used as a criterion to identify time-domain points of ineffective damage contribution. A genetic algorithm (GA) based threshold optimization model is also proposed to automatically set the threshold of the IES under consideration of the relative damage requirements and statistical parameters of the signal. The effectiveness of the above proposed editing method is demonstrated by compiling an SUV’s suspension coil spring signal obtained from physical sensor-based measurements. Meanwhile, the same spectrum is also processed using time-domain editing, Short-time Fourier-transform, and S-transform methods for comparison. The results show that the WVT-based edited spectrum has a time-duration retention ratio of about 76.30%, which is significantly superior to other methods, with the same pseudo-damage retention and statistical parameter error constraints. Moreover, in combination with the fatigue simulation analysis, it verifies that the load effect of the edited spectrum matches well with that of the original. Thus, the proposed method is considered more effective for compiling component load signals in vehicle acceleration durability tests.

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“…Its signal resolution performance is highly dependent on the wavelet basis function and scale parameters; however, it is difficult to match properly. The Wigner-Vile distribution is a Fourier transform of an instantaneous signal [14], [15] and has many outstanding properties. Sur et al [16] proposed a smoothed pseudo-Wigner-Ville distribution method for extracting the instantaneous frequency of a highly non-stationary polynomial frequency-modulated fringe signal.…”

Section: Introductionmentioning

confidence: 99%

A Novel Empirical Variational Mode Decomposition for Early Fault Feature Extraction

2022

IEEE Access

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Early fault features of large-scale and low-speed mechanical equipment with heavy duty are weak and exhibit strong non-stationary characteristics. The adaptive extraction and identification of highly relevant important features from such signals has attracted significant attention. In this study, a novel empirical variational mode decomposition and exact Teager energy operator are proposed to explore valuable information. To highlight the fault impact signal representation, we use the exact energy operator to enhance the weak-impact components in the early fault signal. The proposed binary mechanism effectively distinguishes irrelevant features based on the adaptive decomposition parameter construction strategy. Therefore, interference features are easily removed from similar mixed signals, and the independent mode features are determined. The experimental results of the simulation and collected data are compared with those obtained with existing signal decomposition methods, and the superiority of the proposed method, owing to its better modal distinction and less time consumption, is verified.

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Characterization of Nonstationary Phase Noise Using the Wigner–Ville Distribution

Cited by 3 publications

References 33 publications

A Novel Switching Algorithm to the Preferred Clock Skew Estimator Applicable for the PTP Case in the Fractional Gaussian Noise Environment

A Novel Switching Algorithm to the Preferred Clock Skew Estimator Applicable for the PTP Case in the Fractional Gaussian Noise Environment

Accelerated Editing Method for Vehicle Durability Fatigue Load Spectrum Based on Wigner-Ville Transform

A Novel Empirical Variational Mode Decomposition for Early Fault Feature Extraction

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