多窗谱分析在Q值估算中的应用

The application of the multiple tapers spectral analysis in the Q estimation

正弦窗谱分析和Slepian窗谱分析是两种常用的多窗谱分析方法,本文利用两种窗函数分别对含噪声的衰减模型进行谱分析对此,并根据谱比法估算了Q值,研究结果表明:正弦窗函数谱分析应用的效果优于Slepian窗谱分析应用的效果,而且多正弦窗谱估计更接近真实的谱,对于深部地层,噪声的影响更加严重,利用多正弦窗谱估计估算的Q值更接近理论的Q值。

The multi tapers spectral estimation, such as the multiple sinusoidal tapers and the Slepian tapers spectral estimation, is a powerful method of data analysis which is often used to study geophysical processes. In this paper, the two kinds of multi tapers spectral estimation are compared by applying them in the composite decay traces with noise, and then the quality factor Q is estimated. It shows that the application result of the multiple sinusoidal tapers is much superior to that of the Slepian tapers. In addition, the spectrum with the multiple sinusoidal tapers spectral estimation is much closer to the real spectrum. So the much more accurate Q can be estimated by the use of the multiple sinusoidal tapers spectral estimation for the deep layer affected severely by the noise.