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An Anisotropic Diffusion Equation based Time-Frequency Energy Reassignment Method
Jie Wu, Zuren Feng, Lei Zhu, Feng Han
Abstract
In order to improve the consistency of auto-terms and reduce its sensitivity to the existence of noise, the classic time-frequency distribution rearrangement process was extended to adaptive anisotropic diffusion. The anisotropic diffusion process can be locally controlled both the orientation and the strength of smoothing by a time-frequency content dependent diffusion tensor. The proposed rearrangement technique utilizes the signal-dependent anisotropic diffusion to compute time and frequency localization of rearrangement, and then reassign the Wigner-Ville distribution smoothed by the same anisotropic diffusion. The simulation results show that, when compared with the conventional rearrangement of spectrogram, the rearrangement based on the anisotropic diffusion is more robust to noise and can give higher resolution and more consistent time-frequency representations. When used to analyze seismic sedimentary signal, the method can exactly depict the rules of rhyming of the geologic sedimentary process. This shows that the proposed rearrangement technique is a powerful tool for the sedimentary cycle analysis and reservoir description of the seismic data.
Keywords
Anisotropic diffusion equation, diffusion tensor, multicomponent signals, time-frequency energy rearrangement, seismic sedimentary cycle
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