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MATLAB code for Synchrosqueezed Chirplet Transforms

MATLAB code for the implementation of the Synchrosqueezed chirplet transforms with some examples.

Reference: Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application, https://arxiv.org/pdf/2112.01857.pdf.

File explanation:

dwindow.m -- compute the derivative of a given window

sqSTFT.m -- STFT-based Synchrosqueezed transforms (SST)

sqSTCT.m -- STFT-based Synchrosqueezed chirplet transforms (SCT, including chirplet transforms)

sqSTFTbase2nd.m -- STFT-based second order SST

SCTinverse.m -- inverse map of SCT

example1.m -- example of standard linear chirps

example2.m -- example of a signal with time-varying chirp rate

example3.m -- example of wolf howling signal

test

3D visualization of the chirplet transform

test

3D visualization of the synchrosqueezed chirplet transform

Any questions can be sent to ziyuchen@umass.edu.