This study focuses on the analysis of signals containing multiple components with crossover instantaneous frequencies (IF). This problem was initially solved with the chirplet transform (CT). Also, it can be sharpened by adding the synchrosqueezing step, which is called the synchrosqueezed chirplet transform (SCT). However, we found that the SCT goes wrong with the high chirp modulation signal due to the wrong estimation of the IF. In this paper, we present the improvement of the post-transformation of the CT. The main goal of this paper is to amend the estimation introduced in the SCT and carry out the high-order synchrosqueezed chirplet transform. The proposed method reduces the wrong estimation when facing a stronger variety of chirp-modulated multi-component signals. The theoretical analysis of the new reassignment ingredient is provided. Numerical experiments on some synthetic signals are presented to verify the effectiveness of the proposed high-order SCT.

翻译：本研究聚焦于分析包含交叉瞬时频率的多分量信号。该问题最初通过Chirplet变换（CT）得以解决，后续通过引入同步压缩步骤（即同步压缩Chirplet变换，SCT）可进一步锐化结果。然而，我们发现SCT在处理高啁啾调制信号时会因瞬时频率估计错误而失效。本文提出了CT后变换的改进方法，旨在修正SCT中的估计误差，并实现高阶同步压缩Chirplet变换。所提方法减少了面对强变化性啁啾调制多分量信号时的错误估计，同时提供了新重分配成分的理论分析。通过若干合成信号的数值实验验证了所提高阶SCT的有效性。