Abstract:In the current complex-trace dynamic matching pursuit algorithm, the dominant frequency of matching atom is computed by instantaneous frequency, which is unstable and bears meaningless negative value. To get the dominant frequency of matching atom, this paper proposes a robust instantaneous frequency computation method based on continuous phase. With continuous phase, this method solves discontinuities existed in principal phase instead of principal phase. Moreover, the instantaneous frequency is obtained by damped least square inversion, rather than directly taking the differential of phase. Experiments show that the instantaneous frequency obtained from continuous phases is of higher precision and can avoid meaningless negative anomalies. Numerical and real data application results indicate that the improved matching pursuit algorithm is stable and can adapt to complicated seismic signal decomposition and reconstruction.
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