1 research outputs found
Seismic signal sparse time-frequency analysis by Lp-quasinorm constraint
Time-frequency analysis has been applied successfully in many fields.
However, the traditional methods, like short time Fourier transform and Cohen
distribution, suffer from the low resolution or the interference of the cross
terms. To solve these issues, we put forward a new sparse time-frequency
analysis model by using the Lp-quasinorm constraint, which is capable of
fitting the sparsity prior knowledge in the frequency domain. In the proposed
model, we regard the short time truncated data as the observation of sparse
representation and design a dictionary matrix, which builds up the relationship
between the short time measurement and the sparse spectrum. Based on the
relationship and the Lp-quasinorm feasible domain, the proposed model is
established. The alternating direction method of multipliers (ADMM) is adopted
to solve the proposed model. Experiments are then conducted on several
theoretical signals and applied to the seismic signal spectrum decomposition,
indicating that the proposed method is able to obtain a higher time-frequency
distribution than state-of-the-art time-frequency methods. Thus, the proposed
method is of great importance to reservoir exploration.Comment: 12 pages, 11 figure