Synchrosqueezed Wavelet Transform Toolkit

Resource Overview

An enhanced wavelet analysis toolkit featuring synchrosqueezing transformation, ideal for researchers exploring wavelet algorithm improvements. This implementation offers unique time-frequency resolution capabilities compared to conventional wavelet methods. The package includes MATLAB-compatible functions with clear parameter definitions for immediate integration into signal processing workflows.

Detailed Documentation

This toolkit introduces an implementation of synchrosqueezed wavelet transform, representing a significant enhancement to standard wavelet algorithms. Researchers investigating wavelet method improvements will find this package particularly valuable for obtaining distinct time-frequency representations that differ from traditional wavelet approaches. The implementation comprises multiple MATLAB functions handling key operations: signal preprocessing, wavelet coefficient computation, and frequency reassignment through synchrosqueezing. To utilize the toolkit, simply extract the package into your MATLAB toolbox directory. Each function includes detailed header comments specifying input parameters (e.g., signal vectors, scaling factors) and output formats (time-frequency matrices, reconstructed signals). For specific calling conventions and algorithm details, refer to the function definitions within the package files. The core algorithm employs continuous wavelet transform combined with frequency reassignment techniques to sharpen time-frequency localization. Additional documentation provides usage examples and theoretical background for advanced customization.