An efficient filter bank architecture for the cross-term reduced processing of discrete time-frequency distributions

2002 ◽  
Author(s):  
T. Le ◽  
M. Glesner
Keyword(s):  
Discrete Time ◽  
Filter Bank ◽  
Cross Term ◽  
Frequency Distributions ◽  
Time Frequency ◽  
The Cross

The Certification for Inevitability of Cross-Term in WVD

2014 ◽  
Vol 1030-1032 ◽  
pp. 1930-1933 ◽  
Author(s):  
Zhong Hu Yuan ◽  
Man Yang Xu ◽  
Xiao Xuan Qi
Keyword(s):  
Mathematical Method ◽  
Frequency Analysis ◽  
Cross Term ◽  
Time Frequency Analysis ◽  
Important Method ◽  
Time Frequency ◽  
Multicomponent Signal ◽  
Mathematical Properties ◽  
The Cross

WVD has become an important method for time-frequency analysis because of its mathematical properties. In fact, however, cross-term disturbs its application seriously when the multicomponent signal existed. Now increasing people is going to find pure mathematical method to deal with the cross-term in WVD. But this paper will prove the inevitability of cross-term in WVD.

Mask filtering to the Wigner-Ville distribution

Geophysics ◽  
2021 ◽  
pp. 1-30
Author(s):  
Haifa Alsalmi ◽  
Yanghua Wang
Keyword(s):  
High Resolution ◽  
Seismic Data ◽  
Energy Concentration ◽  
Cross Term ◽  
Time Frequency ◽  
Stationary Signals ◽  
Spectral Analysis Method ◽  
The Cross ◽  
Data Adaptive ◽  
3D Seismic Data

The Wigner-Ville distribution (WVD) is a high-resolution time-frequency spectral analysis method for non-stationary signals, and yet it suffers from cross-term interference among signal components. We proposed applying a masking filter directly to the WVD time-frequency spectrum to suppress the cross-term interference. Conventional methods for suppressing the interference include the smoothed-pseudo WVD (SP-WVD) method, which incorporates smooth filtering in both time and frequency directions. We exploited the SP-WVD spectrum as a reference to design the masking filter, and thus the mask filtered WVD (MF-WVD) procedure is data adaptive. The MF-WVD method preserves the high-resolution energy concentration in the spectrum portrayed by the standard WVD, while suppressing the cross-term interference cleanly like in the SP-WVD method. Applying the MF-WVD method to field 3D seismic data generates high-resolution spectral cubes for various frequencies, and these spectral cubes may be used intuitively for detecting reservoir-related characteristics.

A New Joint Algorithm Based on EMD-ICA to Reduce the Cross-Term in Wigner-Vill Distribution

2013 ◽  
Vol 347-350 ◽  
pp. 2407-2411
Author(s):  
Wei Liu ◽  
Zeng Li Liu ◽  
Xin Xin He ◽  
Hao Ran Yao
Keyword(s):  
Cross Term ◽  
Time Frequency ◽  
Frequency Representation ◽  
Cross Terms ◽  
Fastica Algorithm ◽  
The Cross

Wigner-Vill distribution (WVD) will inevitably have cross-terms when it used for time-frequency representation in a multi-component signal. In order to suppress the cross-terms in Wigner-Vill distribution, this paper proposes a joint algorithm based on EMD-ICA. This algorithm resolves a multi-component signal into several IMF components used by EMD at first, and then each IMF component is used FastICA algorithm for processing, and next seeks the Wigner-Vill distribution of each component, finally, add up the results. This method effectively inhibited the emergence of cross-terms in Wigner-Vill distribution, and keeps the properties of time-frequency concentration higher.

scholarly journals Damage Detection Based on Cross-Term Extraction from Bilinear Time-Frequency Distributions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ma Yuchao ◽  
Yan Weiming ◽  
He Haoxiang ◽  
Wang Kai
Keyword(s):  
Damage Detection ◽  
Frequency Distribution ◽  
Structural Damage ◽  
Damage Identification ◽  
Dominant Term ◽  
Cross Term ◽  
Time Frequency ◽  
Structural Damage Identification ◽  
The Cross ◽  
Time Frequency Distribution

Abundant damage information is implicated in the bilinear time-frequency distribution of structural dynamic signals, which could provide effective support for structural damage identification. Signal time-frequency analysis methods are reviewed, and the characters of linear time-frequency distribution and bilinear time-frequency distribution typically represented by the Wigner-Ville distribution are compared. The existence of the cross-term and its application in structural damage detection are demonstrated. A method of extracting the dominant term is proposed, which combines the short-time Fourier spectrum and Wigner-Ville distribution; then two-dimensional time-frequency transformation matrix is constructed and the complete cross-term is extracted finally. The distribution character of which could be applied to the structural damage identification. Through theoretical analysis, model experiment and numerical simulation of the girder structure, the change rate of cross-term amplitude is validated to identify the damage location and degree. The effectiveness of the cross-term of bilinear time-frequency distribution for damage detection is confirmed and the analytical method of damage identification used in structural engineering is available.

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