Advancements in the synchrosqueezing transform as a postprocessing time-frequency method have received considerable attention in the past few decades for the analysis of nonstationary signals. Many studies have focused on improving the accuracy of the estimated instantaneous frequency (IF). In some fields, the IF spectra of signals exhibit fast varying behavior or even some times parallel to the frequency axis. Thus, a majority of the existing methods may fail to adequately handle the transient signals such as guided waves and vibration waves. To address this problem, a new method called the horizontal synchrosqueezing transform (HST) is introduced in the present research study. By applying a local estimation of the group delay (GD), the proposed technique can yield a compact time-frequency representation for a transient signal while retaining its invertibility. For the purpose of validation, the proposed approach is implemented in both synthetic and real signals. The results are observed in a convincing manner in terms of the smaller value of the Rényi entropy and better reconstruction accuracy. The HST is supposed to be a reliable and accurate method for the analysis of transient signals with extensive usefulness.

中文翻译：

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水平同步挤压变换：算法与应用


在过去的几十年中，同步压缩变换作为一种后处理时频方法的进步在非平稳信号分析中受到了相当多的关注。许多研究都集中在提高估计瞬时频率 (IF) 的准确性。在某些领域，信号的中频频谱表现出快速变化的行为，甚至有时与频率轴平行。因此，大多数现有方法可能无法充分处理瞬态信号，例如导波和振动波。为了解决这个问题，本研究引入了一种称为水平同步压缩变换（HST）的新方法。通过应用群延迟（GD）的局部估计，所提出的技术可以产生瞬态信号的紧凑时频表示，同时保持其可逆性。为了验证的目的，所提出的方法在合成信号和真实信号中实现。结果表明，Rényi 熵值较小，重建精度较高，令人信服。 HST 被认为是一种可靠且准确的瞬态信号分析方法，具有广泛的用途。