Classic Fractional Fourier Transform MATLAB Implementation

This is a classic MATLAB source code implementation of Fractional Fourier Transform (FRFT). For those interested in learning FRFT, this serves as an excellent educational program. Fractional Fourier Transform is a specialized form of Fourier transform widely used in signal processing, image processing, and related fields. The source code provides practical insights into FRFT principles and applications through its implementation of the fractional order parameterization and transformation algorithms. Key implementation details include the discrete FRFT algorithm based on eigenvalue decomposition or linear transformation methods, which extends the traditional Fourier transform to fractional orders. The code demonstrates how to handle signal transformation at arbitrary fractional orders between 0 and 1, showcasing matrix operations and spectral analysis techniques. For digital signal processing enthusiasts, understanding FRFT opens new perspectives in time-frequency analysis and signal representation. By studying this source code, you can learn how to implement FRFT in MATLAB using built-in functions like fft and eig, while understanding the mathematical framework behind fractional transformations. This will enhance your programming skills in implementing advanced signal processing algorithms. We hope this educational program provides inspiration and makes your learning journey enjoyable! The code includes comments explaining critical steps such as eigenvalue calculation, transformation matrix construction, and fractional order parameter handling to facilitate better understanding.