Second-Order Synchrosqueezing Transform or Invertible Reassignment? Towards Ideal Time-Frequency Representations

By Thomas Oberlin, Sylvain Meignen, Valérie Perrier. IEEE Transactions on Signal Processing, 2015

441 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Multisynchrosqueezing Transform (2019, methodology): “Because (26) is a complex value, which cannot be directly used for calculation, in [7]–[9] and [14]–[19], they suggest to take the real part of (26) as the IF estimate, and then (26) should be rewritten as”
High-Order Synchrosqueezing Transform for Multicomponent Signals Analysis—With an Application to Gravitational-Wave Signal (2017, background): “As discussed above, the variants of FSST proposed in this paper leading to significantly better TF representations, this should translate into better performance in terms of mode reconstruction.”
Nonlinear Chirp Mode Decomposition: A Variational Method (2017, methodology): “The simulation results indicated that the method is more effective than the VMD and De-VSST in decomposing signals with close or even crossed modes.”
Synchroextracting Transform (2017, methodology): “RS [4] and SST [6], [8] were developed as postprocessing tools and have the ability to reassign or squeeze the TF coefficients by classical TFA methods into the IF trajectory, which are approximated to the ITFA representation.”
Theoretical analysis of the second-order synchrosqueezing transform (2016, methodology): “In another direction, an extension of FSST, based on a second order approximation of the phase, was recently proposed in [16], but, to our knowledge, no theoretical analysis of the proposed estimate is available.”