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.

Time-Frequency Analysis Tool - Radial Gaussian Kernel Time-Frequency Distribution

Time-Frequency Analysis Tool - Radial Gaussian Kernel Time-Frequency Distribution. To eliminate cross-terms in the time-frequency distribution plane, mutual components must be effectively removed while retaining auto-components in the ambiguity function domain. This can be achieved by designing a kernel function matched to the signal's characteristics. The signal-adaptive radial Gaussian kernel time-frequency distribution provides an optimal representation for time-frequency analysis with minimal interference components.