Explore MATLAB source code curated for "分数阶傅里叶变换" with clean implementations, documentation, and examples.
This repository contains a classic MATLAB source code implementation of Fractional Fourier Transform (FRFT), serving as an excellent educational program for understanding FRFT algorithms and their MATLAB coding techniques.
The Fractional Fourier Transform (FRFT) serves as a generalized form of the Fourier transform, exhibiting excellent energy concentration properties for Linear Frequency Modulated (LFM) signals where both time and frequency domains can be considered special cases of the FRFT domain. As illustrated in Figure 2, LFM signal projections across different transform domains show energy distributed widely in frequency domain while converging to an impulse function in the appropriate fractional Fourier domain. Being a linear transformation, the FRFT of a signal-noise mixture equals the superposition of their individual FRFTs. These properties enable effective LFM signal filtering in the FRFT domain. Key implementation involves scanning through rotation angles to compute fractional Fourier transforms of observed signals, generating two-dimensional energy distributions in parameter space for LFM detection with unknown parameters.
Parameter estimation and peak detection techniques for Fractional Fourier Transform implementation, including peak search algorithms and optimization methods
Implementation of a 2D Discrete Fractional Fourier Transform Program for Image Processing Applications
Testing MATLAB Code Implementation for Fractional Fourier Transform (FRFT)