The Fourier transform is a core, but abstract concept and tool. It can be viewed from several different perspectives, so I think it is helpful to see how different authors describe it.

O’Reilly have a good introduction with Python code.

I think that the videos linked below are helpful in understanding various properties. Hope you enjoy.

A Visual Introduction the Fourier Transform

Steve Brunton’s Fourier Analysis Channel

This youtube channel contains videos on many aspects of Fourier Analysis and does a great job of describing the computational implementation of the Fourier transform with a number of applications in Python. This material is covered in Chapter 2 of his book and a pdf of the book is downloadable. The first video in this series is linked below.

Aliasing and Nyquist

What is the Fast Fourier Transform?

This video gives a more comprehensive explanation that Steve Brunton’s.

Intuitive understanding of the Fourier Transform

A longer more in depth video – most of the others above are bitesized.

A Couple of Web Resources on the Fourier Transform / Mark Naylor’s Blog by blogadmin is licensed under a Creative Commons Attribution CC BY 3.0

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