改进的S变换及在地震信号处理中的应用

首先论述了S变换的原理和运算实现.为了提高S变换对不同类型非平稳信号的分析能力,通过一个时窗调节因子改造S变换的可变高斯窗函数,从而改变时窗宽度随频率呈反比变化的速度,得到了时频分辨率可调的广义S变换,提高了S变换在具体应用中的实用性和灵活性.通过对几种合成信号模型仿真,阐述了时窗调节因子对时频分辨率的影响.并对一维人工合成复杂地震信号进行分析,获得了高质量的时频表示,证明了广义S变换在地震信号处理中应用的有效性.

Improved S-Transform and Its Application in Seismic Signal Processing

The theory and computational implementations of S-transform(ST) are introduced. To enhance the analytic power of ST in different non-stationary signal processing,a genera-lized S-transform(GST) is achieved by adding an adjusted factor to the Gaussian window function of the normal ST.The adjusted factor changes the velocity in which the width of the window function varies inversely with the frequency.GST possesses an adjustable time-frequency resolution and higher practicability and adaptability than ST in the actual application.The adjusted factor affects the time-frequency resolution in the simulation of several synthetic signal models.Finally,the time-frequency analysis of a 1-D complicated synthetic seismic record is executed by selecting the reasonable adjusted factor.The time-frequency representation with the high quality is obtained.The result demonstrates that GST is an effective means for seismic signal processing.