MATLAB Subfunction for Short-Time Fractional Fourier Transform

This article presents a MATLAB subfunction implementation for Short-Time Fractional Fourier Transform (STFrFT), a widely used method in signal and image processing applications. The subfunction operates by segmenting input signals into small time windows and applying Fractional Fourier Transform within each temporal segment to compute the time-frequency representation. The algorithm implementation typically involves three key stages: window function selection (commonly Hamming or Hann windows), parameterized fractional order computation, and overlapping window processing to minimize spectral leakage. This approach provides more accurate and detailed spectral information of signals, enabling deeper understanding of time-frequency characteristics. The MATLAB code structure generally includes core functions for window slicing, fractional Fourier calculation using discrete algorithms, and result aggregation. Mastering this MATLAB subfunction is crucial for signal processing and image analysis research, particularly for applications requiring joint time-frequency analysis with fractional order flexibility.