The Synchrosqueezing Algorithm Based on Generalized S-transform for High-Precision Time-Frequency Analysis

Abstract

Abstract:In this paper, a new time-frequency analysis method-Synchrosqueezing Generalized S-transform (SSGST)-is proposed to meet the needs of high-resolution seismic signal processing and interpretation. The basic wavelet of the generalized S-transform (GST) in the paper is a modulated harmonic wave with four undetermined parameters that can be constructed by adjusting the four parameters to make the GST more suitable for seismic signals processing. The SSGST method squeezes and reconstructs the complex coefficient spectra of GST results along the frequency direction so that the energy distributions on the time-frequency spectra are concentrated around the real instantaneous frequency of the signal; thus, the time-frequency resolution can be improved. Based on mathematical theory, the basic principle of the new transformation method is given, and the mathematical expressions of the positive transformation and lossless inverse transformation of the method are strictly deduced. The experimental results of numerical signals illustrate that the proposed method can correctly decompose signals with different spectral characteristics into a high time-frequency resolution spectrum and can recovery the original signal from the time-frequency spectrum with satisfying reconstructing accuracy. Application on field seismic data shows the superiority of the new method in seismic time-frequency analysis for hydrocarbon detection.

A High-Precision Time-Frequency Entropy Based on Synchrosqueezing Generalized S-Transform Applied in Reservoir Detection

“…In 2017, synchrosqueezing generalized S-transform (SSGST) is proposed by Chen H. et al [ 34 ]. This method based on the generalized S-transform (GST) with four parameters which is proposed by Gao J.H.…”

“…Inspired by the squeezes along the frequency direction [ 31 , 32 , 33 ], Chen H. et al proposes a new high resolution time-frequency analysis method which is named synchrosqueezing generalized S-transform (SSGST) in 2017 [ 34 ]. This method introduces GST to replace the WT of synchrosqueezing wavelet (SST) [ 35 , 36 ], squeezes, and reconstructs the complex coefficient spectra of GST results along the frequency direction, so that the energy distributions on the time-frequency spectra are concentrated around the real instantaneous frequency of the target signal and shows a high time-frequency resolution.…”

Comparative Application of Time‐Frequency Methods on Strong Motion Signals

“…en the transform bypasses the window size problem of STFT while holding some WT properties. e permanent trend of the standard transform wavelet function restricts its applications, so several authors have suggested different forms for the S-transform [8]. On the other hand, S-transform may be viewed as a type of windowed Fourier transform, where the length of the centered window at τ is inversely proportional to f. Discrete ST transforms convert Advances in Civil Engineering an n point signal into an n 2 point one, so they are highly redundant.…”

Whitening Processing of Seismic Signal Spectrum Based on SSGST

“…The synchrosqueezing generalized S transform (SSGST) [4] is derived from the generalized S transform [5] . It combines the advantages of the synchronous extrusion algorithm and the traditional GST algorithm.…”