MATLAB Implementation of Fractional Fourier Transform

The Fractional Fourier Transform program is a computational implementation of the discrete fractional Fourier transform (DFrFT). This MATLAB-based solution enables frequency domain analysis of signals and provides a method for performing fractional order transformations. The program utilizes algorithmic approaches such as eigen decomposition or sampling methods to compute fractional powers of the Fourier operator. Key functions typically involve matrix diagonalization, eigenvalue computation, and fractional power calculation of transformation matrices. This implementation helps researchers better understand signal spectral characteristics through intermediate time-frequency representations, facilitating advanced signal processing and optimization. By employing the fractional Fourier transform program, users can obtain more detailed and accurate frequency domain representations, enabling deeper investigation into signal properties and behaviors through adjustable fractional orders that bridge time and frequency domains.