Discrete Fractional Fourier Transform MATLAB Implementation

This MATLAB implementation provides a discrete fractional Fourier transform (DFrFT) code suitable for digital watermarking research and image processing applications. The discrete fractional Fourier transform serves as a powerful mathematical tool for signal processing and image analysis, featuring adjustable fractional order parameters that enable flexible time-frequency analysis. The implementation includes efficient algorithms for transform computation using eigenvector decomposition or sampling methods, allowing users to embed and extract watermarks through frequency-domain manipulation. The code supports image quality enhancement through selective frequency component processing and provides foundations for various analysis tasks including feature extraction and signal reconstruction. For researchers developing digital watermarking technologies, this implementation offers customizable parameters, clear function interfaces, and compatibility with standard MATLAB image processing workflows, making it a valuable tool for advanced digital signal processing experiments.