We improve the resolution of the entire time-frequency map of the S-transform by proposing a two-step sparsifying algorithm. First, we optimize the window widths for all time or frequency samples by using an energy concentration measure and then we sparsify the entire time-frequency map. The proposed method is applied on the seismic data for estimation of quality factor, Q. The results are compared with those of the standard S-transform. Our method outperformed the standard S-transform in estimating the correct value of Q.


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