基于希尔伯特变换的改进地震信号谱重排

谱重排最早被称为改进的滑动时窗法,用来提高常规的时频谱分析的分辨率,其基本原理是将原时频谱中每一点的能量进行聚焦重排。由于该算法仅对信号在频率域进行重排,致使其重排过程是不可逆的。为了优化时频重排算法,将原始的谱重排算法与希尔伯特变换相结合,通过对信号求取导数并使用加窗傅里叶变换对理论信号进行再处理得到改进后的处理结果。结果表明,基于希尔伯特变换的改进谱重排算法不仅兼顾了时频谱重排和加窗傅里叶变换的优势,提高了对信号时频变换的分辨率,而且在地震勘探领域具有广泛的应用前景。

Improved Seismic Spectral Rearrangement Based on Hilbert Transform

Spectral rearrangement was known as improved sliding window method at first, it was used to improve the resolution of conventional time-frequency spectrum analysis, the basic principle focused on the energy of each point in the original spectrum rearrangement. Because the algorithm only rearranged the frequency domain, the rearrangement process was irreversible. In order to optimize the time-frequency rearrangement algorithm, the original spectral rearrangement algorithm is combined with the Hilbert transform, and the improved processing result is obtained by taking the derivative of the signal and using the Gabor transform to reprocess the theoretical signal. The results show that the improved spectral rearrangement method based on Hilbert transform not only takes the advantages of time-frequency rearrangement and Gabor transform into consideration, but also improves the resolution of signal time-frequency transform, this method has a wide range of prospects for seismic exploration.