GTET

Generalized transient-extracting transform (GTET); 广义瞬态提取变换可以求取任意阶时间方向同步提取变换时频分布

广义瞬态提取变换可以求取任意阶时间方向同步提取变换时频分布，参见论文“Generalized Transient-extracting Transform and its Accurate Signal Reconstruction,” IEEE Trans. Ind. Electron., p. 1, 2021.

Traditional time-frequency (TF) analysis (TFA) methods can effectively obtain instantaneous frequency (IF) features of nonstationary signals by constructing the signal model in time domain. However, they fail to deal with the transient signal, because the IF of transient signal is discontinuous in time domain and is a multivalued function with respect to time. Thus, a new TFA method, termed generalized transient-extracting transform (GTET), is proposed to obtain sharper TF representation (TFR) of the transient signal by constructing frequency-domain model. Firstly, we propose a new computational framework for group delay (GD). Through deriving the general explicit formula for N-order GD, the programming implementation of any order GD can be achieved. Next, the concentrated TFR of GTET can be generated by extracting the energy on the generalized GD estimation. Finally, the signal reconstruction of GTET is derived from a new perspective. It overcomes the difficulty that the reconstruction method of transient-extracting transform (TET) cannot be generalized to high-order algorithms. The analysis result of the simulated signal with high-order GD shows that GTET has better performance than other TFA methods. Experimental results demonstrate that GTET can be used to analyze practical transient signals.