ͨ���Աȶ�ʱ Fourier �任������С���任��S �任������ S �任��ʱƵ�����������֣��Ӵ���ά�ȿ������Ǿ���ͳһ���ڻ���ʽ��������ڴ������� σ(f) ��ȡֵ��ͨ��������Ӧ������ σ(f) ���ź�Ƶ�ʵı仯���ɣ��Լ���֮������ʱ����ʱƵ�ֱ������⣬���͹��� S �任�������Խ�ԡ������� S �任Ӧ�������ౡ����ģ�ͣ��о�������ʱƵ������������ԵĶ�Ӧ��ϵ��ָ���ز����ط����Ԥ�⡣

By comparing the short time Fourier transform��continuous wavelet transform��S transform��gener- alized S transform and so on�� the authors find that they have common inner product forms�� and the difference is that the value of window function�� The authors analyze the variation regulation of σ(f) along with the signal frequency�� and the resulting question between window and time- frequency resolution to explain the relative superiority of the generalized S transform�� Lastly��the generalized S transform are used in four kinds of thin interbed models to study the relation between time- frequency characteristics and geological characteristics��which is helpful to predict the di- rection of stratigraphic cycles��

time-frequency analysis; window function; basis function; time-frequency resolution; stratigraphic cycles