Comparison of WVD based time-frequency distributions

Thomas, Merin Sara; Jacob, Roshen; Lethakumary, B.

doi:10.1109/epscicon.2012.6175242

Cited by 13 publications

(7 citation statements)

References 15 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%

“…Various methods can be used to design such a time-frequency representation, the simplest approach being to divide the signal into short time segments and determine the spectrum of each segment by Fourier transform. The result of this process is the commonly used short-time fourier transform (STFT) [16][17][18]. By analyzing the frequency content of the signal as the time window moves, a time-frequency distribution called spectrogram (square of the size of the STFT) is generated.…”

Section: Introductionmentioning

confidence: 99%

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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%

Section: Introductionmentioning

confidence: 99%

Spectral and Statistical Analysis for Damage Detection in Ceramic Materials

Akgun¹

2020

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“…Since the rgk optimization method uses the ambiguity function to compute the optimal kernel, time adaptation cannot be achieved because each point in the AF utilizes information from all times and frequencies in the signal. Therefore a time-adaptive algorithm is required for computing the AF content to a relatively short interval of time surrounding the current time t. Hence we compute the short-time ambiguity function (ST AF) and together with the rgk method an optimal kernel which is adapted with time is found for each individual TFD slice at time't' [10].…”

Section: F Adaptive Optimal Kernel(aok)mentioning

confidence: 99%

Performance comparison of multi-component signals using WVD and Cohen's class variants

Thomas¹,

Lethakumary²,

Jacob

2012

2012 International Conference on Computing, Electronics and Electrical Technologies (ICCEET)

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Time Frequency distributions (TFD), are representations that shows in which way the energy of the signal is distributed over the time and frequency dimensions. Since there is no such TFD which is suitable for all applications, many TFDs have been formulated, where each corresponds to a different, fixed kernel distribution. The greatest demerit of all fixed kernel TFDs is that, none of them perform adequately for signals that differ in how they are aligned in time-frequency region. Hence fixed kernel TFDs provide good performance only for a small class of signals. To overcome this demerit we have used a signal dependent TFD which utilizes a radially Gaussian kernel. The kernel that is produced by these block oriented techniques doesn't vary as the input signal varies with time and so they are unsuitable for on-line implementation. Hence for such signals whose properties change with respeet to time, or for lengthy signals, an adaptive signal dependent TFD is more desirable. This method changes the kernel for every time intervals to aehieve optimal performance, so as to follow the changes in a signal. In this paper, we compare the different fixed kernel TFDs of Cohen's c1ass-Wigner-VilJe, Choi-WilJiams, Zhao-Atlas-Marks and Born-Jordan distributions with the signal dependent TFD and adaptive optimal kernel TFD by applying them to multi component signals.

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“…Time-frequency analysis method has been applied in the field of the estimation of nonstationary signal's time-frequency parameters, and it acquires a great deal of achievements [1, 2]. The pseudo Wigner-Ville distribution (PWVD) is one of the most commonly used time-frequency analysis tools, which can gain quite high resolution in both time domain and frequency domain and mitigate cross-terms in certain degree for multiple chirp signals [3, 4]. On the other hand, with the combination of time-frequency distributions (TFDs) and array signal processing, the performance of algorithm for spatial processing will be improved since the information of time-frequency is also considered.…”

Section: Instructionmentioning

confidence: 99%

Joint Estimation of Time-Frequency Signature and DOA Based on STFD for Multicomponent Chirp Signals

Zhao

Liu

2014

International Scholarly Research Notices

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In the study of the joint estimation of time-frequency signature and direction of arrival (DOA) for multicomponent chirp signals, an estimation method based on spatial time-frequency distributions (STFDs) is proposed in this paper. Firstly, array signal model for multicomponent chirp signals is presented and then array processing is applied in time-frequency analysis to mitigate cross-terms. According to the results of the array processing, Hough transform is performed and the estimation of time-frequency signature is obtained. Subsequently, subspace method for DOA estimation based on STFD matrix is achieved. Simulation results demonstrate the validity of the proposed method.

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Comparison of WVD based time-frequency distributions

Cited by 13 publications

References 15 publications

Spectral and Statistical Analysis for Damage Detection in Ceramic Materials

Spectral and Statistical Analysis for Damage Detection in Ceramic Materials

Performance comparison of multi-component signals using WVD and Cohen's class variants

Joint Estimation of Time-Frequency Signature and DOA Based on STFD for Multicomponent Chirp Signals

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