The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications

► We study the stability of the Synchrosqueezing transform for spectral analysis. ► Synchrosqueezing is shown to be robust to bounded errors and Gaussian white noise. ► We describe a numerical implementation and compare it with other techniques. ► We apply Synchrosqueezing to proxies describing the evolution of the global climate.