How to Implement the FFT: A Coding Tutorial

Learn how to implement the FFT in this practical coding tutorial in which I guide you step-by-step through the process of writing a recursive Fast Fourier Transform algorithm from scratch. We'll break down the entire process into clear, actionable insights, empowering you to translate even complex theoretical concepts directly into robust, functional code.

The implementation here is written in JavaScript, but everything is done explicitly. I have deliberately avoided using language-specific libraries so that you can easily port the code into many other languages. An online tool for doing this, the full source code, and the Notepad++ programmer's text editor are in the links below.

Resources:
An Online Tool to port code into different languages:
www.codeconvert.ai/free-converter

Full source code in JavaScript:
howthefouriertransformworks.com/FFT

Download the Notepad++ Text Editor:
notepad-plus-plus.org/downloads/

Buy the full course:
the-fourier-transform.teachable.com/l/pdp/how-the-…

00:00 Introduction
01:08 Why JavaScript?
02:02 Recursive FFT: Understanding before optimizing
02:52 Declaring the Function
03:26 Dividing the Signal
07:00 Running the divide stage
08:47 Conquering the DFT
11:10 The 3 Helper Functions
11:46 Conclusion
12:54 End Screen