  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 for
the CT3S method.
