含可变因子的广义S变换及其时频滤波

Generalized S-transform with variable-factor and its time-frequency filtering

含可变因子的S变换是一种新型的时频分析工具,比传统的S变换和Mansinha提出的广义S变换更具实用性。可变因子的引入使得高斯窗函数的宽度随频率发生变化时具有目的性,而不是简单地随着频率的增大而变窄。该变换可以有针对性的改善局部频段(特别是低频段和高频段)的频率分辨率及时间分辨率。以此变换为基础,提出了一种时频滤波方法,通过对人工合成地震记录的滤波,证明了该滤波方法的有效性。

The generalized S-transform with variable-factor is a new time-frequency decomposition method,which is more practical than the traditional S-transform and the generalized S-transform developed by Mansinha.When the scale of the gaussian window function varies with the frequency,the existence of the variable-factor makes this variation have goals,rather than simply narrowing as frequency increasing.This transform can improve the frequency resolution or the time resolution of the local band with purpose,especially the low and high frequency band.A time-frequency filtering method based on the transform is developed.Through filtration of synthetic seis-mic records,the result proves its effectiveness.