Synchrosqueezing Matching Pursuit Time–Frequency Analysis

Abstract

Time-frequency analysis of the nonstationary signals is one of the hot researches in geophysics, environmental science, geology, and other fields. Matching pursuit (MP) has been widely used to reveal the characteristics in time-frequency domain, which helps to study the changes and differences of subtle geological structures. Compared with traditional time-frequency analysis methods, MP has higher time-frequency resolution. The synchrosqueezing transforms (SSTs) have been proven to be an effective methodology to improve the time-frequency resolution by squeezing and redistributing the time-frequency coefficients in the frequency direction. Considering the superiority of the SSTs, this letter proposes a novel time-frequency analysis method called synchrosqueezing MP to enhance the energy aggregation of the time-frequency plane. The proposed method can squeeze the time-frequency distribution into near the center time and frequency of the selected wavelet by a 2-D Gaussian function. We used synthetic and field seismic data to demonstrate the feasibility of our method. The results prove the superiority of our method in describing reservoir boundaries.