Two-Dimensional Fractional Fourier Transform: Algorithm and Applications

The Two-Dimensional Fractional Fourier Transform converts data into the 2D fractional Fourier domain, with implementation typically involving separable operations along each axis using eigenvalue decomposition or discrete approximation methods.

Fractional Fourier Transform of Linear Frequency Modulated Signals

A complete and functional implementation of Fractional Fourier Transform for Linear Frequency Modulated (LFM) signals using Pei's sampling algorithm. LFM signals exhibiting broadband characteristics in the Fourier domain transform into narrowband features in the fractional Fourier domain, enabling refined spectral analysis.