改进离散S变换算法及其在槽波信号提取中的应用研究

采用调整离散频率域高斯窗函数离散变量取值的方法对传统离散S变换算法进行改进。通过对比分析传统和改进两种离散S变换算法的槽波地震数据时频谱，验证了改进离散S变换算法保持了离散频率域高斯窗函数的对称性，实现了负频率时频谱不再失真并与正频率时频谱对称的效果。对比分析数值模拟槽波地震数据和实测槽波地震数据的两种离散S变换槽波信号提取的应用效果，表明相对于传统离散S变换，改进离散S变换时频谱中槽波信号在时频域的分布与原槽波信号在时频域的实际分布较为一致，对改进离散S变换时频谱进行槽波信号时频域滤波和反S变换可以实现对槽波信号的保幅提取。

An improved discrete S-transform algorithm and its application in channel wave signal extraction

The traditional discrete S-transform algorithm is improved by adjusting the variable value of the discrete frequency domain Gaussian window function.By comparing and analyzing the time-frequency spectrum of in-seam seismic data obtained by two discrete algorithms of S-transform,it is verified that the improved algorithm realizes the symmetry of the discrete frequency domain Gaussian window function,and makes the negative frequency time-frequency spectrum no longer distorted and symmetrical with the positive frequency time-frequency spectrum.The application effects of channel wave signal extracted by the two S-transforms to numerical simulation in-seam seismic data and measured in-seam seismic data were compared and analyzed.The result shows that,compared with the traditional discrete S-transform,the energy distribution of the improved discrete S-transform time-frequency spectrum is more consistent with that of the original channel wave signal in time domain and frequency domain,and amplitude preservation extraction of channel wave signal can be realized by channel wave signal filtering from time-frequency spectrum of improved discrete S-transform of in-seam seismic data in time domain and frequency domain and then inverse S-transform.