Seismic data analysis using synchrosqueezing short time Fourier transform

Abstract

The synchrosqueezing wavelet transform (SWT) reallocates the wavelet transform values to different points, hence produces a sharp spectral decomposition for the input signal. The SWT method was widely used for de-noising, spectral decomposition, etc. In this paper, a new synchrosqueezing method was proposed based on short time Fourier transform. The proposed method reassigns the short time Fourier transform values to different points, thus produces a concentrated time-frequency map. Furthermore, the proposed method has an inverse formula, which allows the reconstruction of the input signal from its spectral decomposition. Examples showed that the proposed method is effective for revealing the time-frequency characterizations of non-stationary signals.