The Synchrosqueezing transform is a time-frequency analysis method that can
decompose complex signals into time-varying oscillatory components. It is a
form of time-frequency reassignment that is both sparse and invertible,
allowing for the recovery of the signal. This article presents an overview of
the theory and stability properties of Synchrosqueezing, as well as
applications of the technique to topics in cardiology, climate science and
economics