A Heuristic Description of Fast Fourier Transform

TL;DR

This paper provides a heuristic, accessible description of the Fast Fourier Transform (FFT), focusing on complex-data FFT, to aid students and programmers in understanding the algorithm thoroughly.

Contribution

It introduces a new heuristic presentation of FFT, improving comprehension over existing descriptions for educational and practical purposes.

Findings

Proposes a new heuristic description of FFT

Enhances understanding of complex-data FFT

Facilitates learning for students and programmers

Abstract

Fast Fourier Transform (FFT) is an efficient algorithm to compute the Discrete Fourier Transform (DFT) and its inverse. In this paper, we pay special attention to the description of complex-data FFT. We analyze two common descriptions of FFT and propose a new presentation. Our heuristic description is helpful for students and programmers to grasp the algorithm entirely and deeply.