S-Transform: A Popular Time-Frequency Analysis Algorithm for Signal Processing

In seismic data processing, the S-transform has emerged as a prominent time-frequency analysis technique. This algorithm effectively converts seismic signals from time-domain representations to time-frequency distributions, allowing seismologists to gain deeper insights into signal characteristics. The implementation utilizes MATLAB's vectorization capabilities for efficient computation of the Gaussian window functions that form the core of the S-transform. The forward transform employs a frequency-dependent windowing approach that maintains phase information while providing frequency-adaptive resolution. Additionally, the package includes inverse transformation capabilities that enable reconstruction of original signals from their time-frequency representations. The code structure features modular functions for parameter configuration, wavelet generation, and transformation kernels, making it suitable for integration into various seismic data processing workflows. Beyond seismic applications, this implementation supports spectral analysis for investigating signal features across different frequency components, with customizable parameters for window widths and frequency sampling intervals.