In this contribution, we extend the reassignment method (RM) and synchrosqueezing transform (SST) to arbitrary time-frequency localized lters and, in the rst case, arbitrary downsampling factors. A su cient condition for the invertibility of the SST is provided. RM and SST are techniques for deconvolution of shorttime Fourier and wavelet representations. In both methods, the partial phase deriv...

In recent years, the synchrosqueezing transform (SST) has gained popularity as a method for the analysis of signals that can be broken down into multiple components determined by instantaneous amplitudes and phases. One such version of SST, based on the short-time Fourier transform (STFT), enables the sharpening of instantaneous frequency (IF) information derived from the STFT, as well as the s...

Low frequency oscillation is an important attribute of human brain activity, and the amplitude low fluctuation (ALFF) effective method to reflect characteristics oscillation, which has been widely used in treatment diseases other fields. However, due accuracy current analysis methods for signal extraction ALFF, we propose Fourier-based synchrosqueezing transform (FSST), often field processing e...

An accurate time-frequency representation (TFR) can provide useful information in non stationary data analysis and processing. The traditional methods like short-time Fourier transform (STFT) and wavelet transform (WT) based TFR approaches are leads to a tradeoff between time and frequency resolution. A recently proposed synchrosqueezing transform (SST), which is an extension of the WT, has bee...

In recent years search engines have become the go-to methods for achieving many types of knowledge, spanning from detailed descriptions or general information interesting to the user. Likewise several reassignment techniques are capturing the attention of researchers in the field of signal analysis. Particularly, the Synchrosqueezing Wavelet Transform SST allows signal decomposition and instant...