In order to improve the analysis effect of synchroextracting transformation (SET) on noisy signals or emphasized 〖JP2〗amplitude-frequency modulation (AM-FM) signals, the SET framework was analyzed. Comparing the SET algorithm based on the short-〖JP〗time Fourier transform (STFT) with the Chirplet transform (CT), CT has better signal adaptability than STFT, and the time-frequency analysis results have higher energy concentration. Based on the CT and the SET framework, the formula for the synchroextracting Chirplet transform (SECT) was derived. In order to further improve the time-frequency analysis capability of SECT in the time-frequency plane, the second-order partial derivative of the phase was used to obtain a more accurate instantaneous frequency estimation; the second-order synchroextracting Chirplet transform (SECT2) was proposed to obtain high-resolution time-frequency representation. The effectiveness of the proposed method was verified by analyzing the numerical simulation signal, the bat signal and the bearing fault data of the test bench.