To tackle these problems,a new time-frequency analysis method-optimal generalized S-transform-is achieved by adding a new parameter "p" in S-transform to adjust the standard deviation of window function and selecting the optimal value of p according to the measurement criteria of the time-frequency aggregation proposed by Jones and Parks.

Study on characteristics of seismic stratigraphy by generalized S-transform;

Analysis and improvement of window function of generalized S-transform;

Seismic cycles extraction using generalized S-transform.;

So it is a necessary to develop or improve S transform,which are called generalized S transform(GST).

The wavelet can be adjusted according to concrete application of signal processing by introducing two parameters to reform the wavelet function in S transform; construction of generalized S transform has optimum and flexibly adjustable time-frequency gathering property, which canimplement the high-efficient instantaneous spectrum decomposition of 3D seismic data.

The scattering optical signal based on Brillouin scattering distributed sensor is very weak and has a frequency width of about 30 MHz, so it is proposed to demodulate the scattering optical signal’s amplitude with generalized S transform.