中文摘要：

在探地雷达信号处理中，图像的分辨率对探地雷达的数据分析有着重要影响。由于探地雷达发射的电磁波在地下传播的过程中会受到各种噪声的干扰，使得探地雷达对一些微弱信号的探测效果不明显，而传统的时频分析方法也难以检测出这些微弱信号。针对上述问题，提出了一种新的最优广义s变换。新的最优广义s变换引入了两个参数对时窗的形状和大小进行调节。并且通过能量集中度准则对参数进行优化，以提高时频分布的分辨率。实验结果表明，新的最优广义s变换与短时傅里叶变换和s变换相比能得到更高的时频聚集度，具有更高的时频分辨率，在实际应用中具有更高的实用性和灵活性，为目标信号检测提供了科学依据。

英文摘要：

The resolution of the image has an important effect on data analysis of the ground penetrating radar （GPR） in the GPR signal processing. The electromagnetic wave emitted by the GPR is subjected to various kinds of noises when traveling underground which makes it difficult to detect some weak signals for the GPR, and it is also dif- ficult for traditional time-frequency analysis methods to detect these weak signals. Therefore, a new optimized gener- alized S-transform is proposed in the paper. It introduces two parameters to adjust the shape and width of the win- dow. And the parameters are optimized according to the energy concentration criterion to improve the resolution of the time-frequency distribution. The experimental results show that the new optimized generalized S-transform can obtain a higher time-frequency concentration measure and has a higher time-frequency resolution than the short-time Fou- rier transform and S-transform, and it has higher practicability and adaptability in actual application.