中文摘要：

提出了一类含有三个可调参数的分析小波（称为三参数小波），通过选择这三个参数，可使其最适合于所给定的问题．Morlet小波及改进的Morlet小波是其特例．通过对三参数小波中的参数加以约束，可以获得一类新的近似解析小波．论证了通过恰当的选择参数，三参数小波不仅适合于分析包含慢变频率和振幅分量的信号，而且也适合于包含快变分量的信号．以三参数小波为分析小波，提出了一种用于薄互层地震资料分析的方法．该方法能够刻画薄互层的沉积旋回，也能研究薄互层内部的局部结构，并采用模型资料验证了方法的有效性．

英文摘要：

In this paper, we develop a new type of analyzing wavelet with three parameters, and termed as the three parameter （TP） wavelet. The choice of parameter values enables the wavelet to be optimized for a given problem. By forcing some constraints upon the TP wavelet parameters, we obtain a new type of analyzing wavelet that is an approximate analytic wavelet. We demonstrate that a TP wavelet, through appropriate choice of its parameters, is suitable for the analysis of not only signals containing slowly varying frequency and amplitude components, but also rapidly varying ones. We propose a new method for studying the seismic data of thin interbeds using a TP wavelet as the analyzing wavelet. This method can characterize the deposit gyration of thin interbeds, in addition to exploring their local structure. Its performance is evaluated with synthetic data and real data.