HaizhaoYang/SynLab

Multidimensional Synchrosqueezed Transforms

1D synchrosqueezed wave packet transforms (SSWPT):

Analyzing instantaneous properties (instantaneous frequencies, phases and amplitudes) of non-linear oscillatory signals in a superposition.
A tool for mode decomposition and general mode decomposition with general wave shapes.

2D synchrosqueezed curvelet transform (SSCT):

Anlayzing local properties of non-linear oscillatory textures in a superposition.

3D synchrosqueezed wave packet transform.

Applications:
Geophysics: seismic wave field separation and ground-roll removal.
Materials science: atomic crystal image analysis, grain boundary and local defects identification, elastic deformation estimation.
Art: Canvas painting analysis for art forensics.

For a comparison of the statistical properties of the synchrosqueezed wavelet transform, the synchrosqeezed short-time Fourier transform, the synchrosqeezed wave packet transform, and the multitaper time-frequency reassignment, please visit http://github.com/HaizhaoYang/SST_compare.