The S-Transform: A Modern Approach to Time-Frequency Analysis

The S-transform is an advanced time-frequency analysis tool that employs adaptive windowing—using wider windows at low frequencies for better frequency resolution and narrower windows at high frequencies for superior time resolution. This implementation provides both standard ST and Generalized S-Transform (GST) functions for signal processing applications.

Developing a DFT Subfunction (Compute and Plot Amplitude-Frequency Characteristics)

1) Create a reusable DFT subfunction for computing and visualizing amplitude-frequency response. 2) Analyze frequency resolution and spectrum smoothness with N=32 and M=32, 128, 256. 3) Evaluate frequency resolution and spectral smoothness using N=64, 256, 512.