Advancements in the synchrosqueezin

Advancements in the synchrosqueezing transformas a postprocessing time–frequency method havereceivedconsiderableattentionin the past few decades for theanalysis of nonstationary signals. Many studies have focusedon improving the accuracy of the estimated instantaneousfrequency (IF). In some fields, the IF spectra of signals exhibitfast varying behavior or even some times parallel to thefrequency axis. Thus, a majority of the existing methods mayfail to adequately handle the transient signals such as guidedwaves and vibration waves. To address this problem, a newmethod called the horizontal synchrosqueezing transform(HST) is introduced in the present research study. By applyinga local estimation of the group delay (GD), the proposedtechnique can yield a compact time–frequency representation for a transient signal while retaining its invertibility. For thepurpose of validation, the proposed approach is implemented in both synthetic and real signals. The results are observedin a convincing manner in terms of the smaller value of the Rényi entropy and better reconstruction accuracy. The HST issupposed to be a reliable and accurate method for the analysis of transient signals with extensive usefulness.