Time-frequency characteristics of PSWF with Wigner-Ville Distributions

Lu, Faping; Wang, Hongxing; Xiao, Liu; Liu, Chuanhui; Kang, Jiafang; Miao, Xiangshui

doi:10.1109/siprocess.2016.7888326

Cited by 4 publications

(2 citation statements)

References 2 publications

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“…The main member of this class is the Wigner-Ville distribution (WVD). All other timefrequency conversions can be written as a smoothed version of WVD [17,[22][23][24]. WVD provides many of the features required for some specific applications of non-stationary signal analysis.…”

Section: Wigner Ville Distributionmentioning

confidence: 99%

Spectral and Statistical Analysis for Damage Detection in Ceramic Materials

Akgun¹

2020

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In this study, the internal or superficial cracks that may occur during the production of ceramic plates were determined using the impact noise method. In the industry, ceramic materials are frequently used in areas such as kitchenware and construction. Many different methods are used in the quality control processes of ceramic materials. In this study, the sound produced by the impact applied to the ceramic material was analyzed. As a result of the analysis, the material was found to be undamaged or damaged. This method is called the Impulse Noise method. In this study, damaged and undamaged ceramic plates with different cracks were selected and impact plates were applied to the plates by impact pendulum. The ceramic plates used in the application have the same characteristics and dimensions produced by the same company of the same type. The noise generated as a result of the impact applied to a determined point on the tested materials was examined by Wigner-Ville method which is one of the time-frequency analysis methods. In addition, bispectrum and trispectrum analyzes, which are high-order spectral analysis (HOSA) methods, were used. Statistically, signal analysis with running minimum and maximum, mean value and peak to RMS examinations were also added. The applied methods give good results in differentiating between undamaged and damaged ceramic plates.

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Section: Wigner Ville Distributionmentioning

confidence: 99%

Spectral and Statistical Analysis for Damage Detection in Ceramic Materials

Akgun¹

2020

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“…The compact kernels which are confined in both time and frequency (TF) domains, are highly desired for several applications in the field of signal processing [1] and communication [2] such as filter design [3,4], spectral estimation [5,6], time-frequency analysis [7][8][9], windowing at the transmitter and receiver in wireless communication system [10], windowed OFDM [10], etc. It often requires to design sharp spectral roll-off filters which are simultaneously compact in time domain [11].…”

Section: Introductionmentioning

confidence: 99%

Achievable simultaneous time and frequency domain energy concentration for finite length sequences

Singh

Pradhan

2019

IET signal process.

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For numerous applications in the field of signal processing, it is desired to design a compact window that can simultaneously concentrate maximum energy in finite time interval and frequency band. Although zero-order discrete prolate spheroidal sequence (DPSS) meets this requirement, it is of infinite support. Limiting this sequence to finite support no longer guarantees the optimality property. This study aims at designing a discrete finite length window that can maximise the energy simultaneously in narrow time interval and frequency band. A multi-objective optimisation approach is adopted to obtain the upper bound of maximum achievable time and frequency domain energy concentrations for finite length sequences. The optimal sequence thus obtained is termed as the optimal window with finite support (OWFS), and its various associated properties are discussed. It is shown analytically that as the support of OWFS approaches infinity, it converges to zero-order DPSS. In order to illustrate its optimality, the compactness of the proposed OWFS is compared with those of various window functions. Extending the proposed OWFS, this study also discusses the formulation and associated properties of the zero-order periodic DPSS. Further, the closed form expression for the upper bound of achievable time and frequency domain energy concentrations is also derived.

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Improved Eigenvalue Decomposition-Based Approach for Reducing Cross-Terms in Wigner–Ville Distribution

Sharma

Pachori

2018

Circuits Syst Signal Process

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Time-frequency characteristics of PSWF with Wigner-Ville Distributions

Cited by 4 publications

References 2 publications

Spectral and Statistical Analysis for Damage Detection in Ceramic Materials

Spectral and Statistical Analysis for Damage Detection in Ceramic Materials

Achievable simultaneous time and frequency domain energy concentration for finite length sequences

Improved Eigenvalue Decomposition-Based Approach for Reducing Cross-Terms in Wigner–Ville Distribution

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