Analysis of Reassignment Operators Used in Synchrosqueezing Transforms: With an Application to Instantaneous Frequency Estimation

In this paper, our goal is first to investigate the behavior of reassignment operators used in synchrosqueezing transforms applied multicomponent signals made superposition amplitude and frequency modulated modes. Indeed, while these are associated with instantaneous estimators very accurate on specific types modes, quality former worsens drastically when modes depart from ideal case they designed for. We show paper that particularly true interfere time-frequency plane or some noise present. Based analysis, we propose a novel estimator only makes use points located ridges transforms, compare its performance state-of-the-art techniques based same type representations.