In many applications, it is necessary to retrieve the sub-signal building blocks of a multi-component signal, which is usually non-stationary in real-world and real-life applications. Empirical mode decomposition (EMD), synchrosqueezing transform (SST), signal separation operation (SSO), and iterative filtering decomposition (IFD) have been proposed and developed for this purpose. However, these computational methods are restricted by the specification of well-separation of the sub-signal frequency curves for multi-component signals. On the other hand, the chirplet transform-based signal separation scheme (CT3S) that extends SSO from the two-dimensional “time-frequency” plane to the three-dimensional “time-frequency-chirp rate” space was recently proposed in our recent work to remove the frequency-separation specification, and thereby allowing “frequency crossing”. The main objective of this present paper is to carry out an in-depth error analysis study of instantaneous frequency estimation and component recovery of the CT3S method.

在许多应用中，有必要检索多分量信号的子信号构建块，这在现实世界和现实生活中的应用中通常是非平稳的。经验模式分解 (EMD)、同步压缩变换 (SST)、信号分离操作 (SSO) 和迭代滤波分解 (IFD) 已被提出和开发用于此目的。然而，这些计算方法受到多分量信号的子信号频率曲线的良好分离规范的限制。另一方面，我们最近提出了基于啁啾变换的信号分离方案（CT3S），将 SSO 从二维“时频”平面扩展到三维“时频-啁啾率”空间。努力消除频率分离规范，从而允许“频率交叉”。本文的主要目的是对 CT3S 方法的瞬时频率估计和分量恢复进行深入的误差分析研究。