带有低通滤波的广义S变换在探地雷达层位识别中的应用

同其它分析时变信号的方法相比,S变换具有独特的优点.但是S变换的时窗函数形式固定,限制了其在信号分析和处理中的应用.针对这一问题,本文对S变换进行了改进和推广,在S变换的时窗函数中引入调节参数,同时将低通滤波函数融入其中,提出了一种广义S变换.通过调节参数大小来调节广义S变换的时间分辨率和频率分辨率,从而使该变换具有很强的适用性.本文使用该变换对实测探地雷达数据进行了层位识别研究,取得了较好的效果.

Application of generalized S transform with lowpass filtering to layer recognition of Ground Penetrating Radar

Compared with other methods for analyzing time-varying signal, the S transform has many particular merits. But the window function of the S transform is fixed, which limits its application to signal analysis and processing. To solve this problem, this study improves and generalizes the S transform, introduces the modification parameters into the window function of the S transform and integrates the low-pass filtering function into it. And a generalized S transform is proposed. Temporal resolution and frequency resolution of the generalized S transform are regulated via adjusting the parameters. Consequently, the applicability of the generalized S transform is strongly enhanced. This work adopts the generalized S transform to conduct a layer-recognition study using ground penetrating radar data and achieves desirable results.