MATLAB Code Implementation of Fractional Fourier Transform

This program enables the implementation of Fractional Fourier Transform, which is specifically designed for two-dimensional fractional-order Fourier transformation operations. The code provides a robust framework for analyzing and processing various types of signals and data through fractional Fourier domain manipulations. Key implementation features include: - Efficient algorithm design for computing fractional powers of Fourier operators - Matrix-based computation approach for handling 2D transformations - Parameterized fractional order control allowing continuous variation between time and frequency domains - Optimized computational routines for improved performance with large datasets Using this program, researchers can gain deeper insights into signal spectra and frequency components, observing their variations across different time and spatial domains. The implementation supports various application domains including image processing, audio analysis, communication systems, and signal compression. The code structure incorporates essential functions for: - Fractional order parameter specification and validation - 2D signal preprocessing and normalization - Transformation kernel computation with precision control - Inverse transformation capabilities for complete signal processing workflows Mastering this implementation is crucial for professionals and researchers, as it facilitates advanced signal analysis and enables superior research outcomes across multiple engineering and scientific disciplines.