Second-Order Synchrosqueezing Transform or Invertible Reassignment? Towards Ideal Time-Frequency Representations
Second-Order Synchrosqueezing Transform or Invertible Reassignment? Towards Ideal Time-Frequency Representations
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DOI：
10.1109/tsp.2015.2391077
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发表时间：
2015-03-01
影响因子：
5.4
通讯作者：
Perrier, Valerie
中科院分区：
文献类型：
--
作者：
Oberlin, Thomas;Meignen, Sylvain;Perrier, Valerie
本文考虑多分量信号的分析，定义为真实的或复杂的调制波的叠加。它引入了两个新的后变换的短时傅立叶变换，实现了紧凑的时间-频率表示，同时允许分离和重建的模式。因此，这两个新的变换受益于同步压缩变换（允许重建）和重新分配方法（实现紧凑的时间-频率表示）。对真实的信号和合成信号的数值实验证明了这些新变换的有效性，并说明了它们之间的差异。
This paper considers the analysis of multicomponent signals, defined as superpositions of real or complex modulated waves. It introduces two new post-transformations for the short-time Fourier transform that achieve a compact time-frequency representation while allowing for the separation and the reconstruction of the modes. These two new transformations thus benefit from both the synchrosqueezing transform (which allows for reconstruction) and the reassignment method (which achieves a compact time-frequency representation). Numerical experiments on real and synthetic signals demonstrate the efficiency of these new transformations, and illustrate their differences.