Fast Fourier Transform FFT Universal Implementation

This document shares a universal MATLAB source program implementing Fast Fourier Transform (FFT). As you may know, MATLAB's toolbox fft function is built-in and its source code isn't accessible. For better learning and knowledge exchange, I'm sharing my custom FFT implementation written in MATLAB language, specifically designed for beginners' reference and study. The source program contains: - Fundamental principles and implementation methods of FFT algorithm, including recursive Cooley-Tukey approach for power-of-two data sizes - Complete MATLAB source code demonstrating FFT algorithm with detailed comments explaining butterfly operations and complex number handling - Practical FFT application examples showing frequency analysis, spectral visualization, and inverse FFT reconstruction techniques These examples help beginners better understand FFT usage patterns and how to implement custom FFT algorithms in MATLAB, covering both radix-2 decomposition and efficient memory management strategies. The code includes error handling for input validation and demonstrates proper zero-padding techniques for non-power-of-two datasets. Hope this source program proves beneficial for your learning journey!