Radon Transform + Wigner Transform for Peak Point Coordinate Extraction

The implementation utilizes custom-developed and debugged Radon transform and Wigner transform algorithms to analyze signals, enabling comprehensive characterization across time domain, frequency domain, and time-frequency distributions. This methodology effectively extracts signal features, particularly peak point coordinates, through advanced mathematical transformations. The Radon transform implementation typically involves line integral computations across multiple projection angles, while the Wigner transform employs quadratic time-frequency analysis to capture instantaneous frequency characteristics. By performing subsequent analysis on the extracted peak coordinates, additional signal details can be revealed, including temporal and spectral properties. Key functions may include parameter optimization for transformation windows, threshold-based peak detection algorithms, and coordinate refinement techniques. This combined approach finds extensive applications in signal processing for feature extraction, pattern recognition, and non-stationary signal analysis.