GTST

Generalized transient-squeezing transform (GTST). 广义瞬态压缩变换可以计算任意阶次、任意次数时间方向同步压缩变换时频分布。

广义瞬态压缩变换可以计算任意阶次、任意次数时间方向同步压缩变换时频分布，参见论文 "Generalized Transient-Squeezing Transform: Algorithm and Applications," in IEEE Transactions on Instrumentation and Measurement, vol. 71, pp. 1-10, 2022.

Time-frequency analysis (TFA) methods can characterize the instantaneous frequency features of non-stationary signals by constructing the time-domain signal model. However, the traditional TFA methods are ineffective for transient signals that are discontinuous in the time domain and characterized by sharp frequency variation. Therefore, a new TFA method called generalized transient-squeezing transform (GTST) is proposed to process transient signals by constructing a signal model in the frequency domain. First, the generalized group delay estimation is calculated based on the frequency-domain signal model. Then, the generalized transient-squeezing operator is constructed by iterative operations. Finally, the time-frequency (TF) energy is rearranged according to the constructed operator. The GTST provides a more compact TF representation of the transient signal while maintaining reversibility. Numerical validation shows that the proposed method has higher TF concentration and accuracy in analyzing transient signals compared with other advanced TFA methods. Experimental validation shows the effectiveness of the proposed method in practical transient signal analysis.