An interactive guide to Fourier series (2022)

If you are interested in interactive explorations of the fourier transform you might also like this visualization I built [1], featuring the not so well known fractional fourier transform.

[1]: https://static.laszlokorte.de/frft-cube/

Re: An interactive guide to Fourier series (2022)

#5

Post by injuly » Mon, Feb 26, 2024, 11:43 AM UTC

Thank you for posting my blog here!

I've improved my writing over time, so reading an older post makes it feel dated. I'll try to post more rigorous technical articles this year.

Re: An interactive guide to Fourier series (2022)

#6

Post by injuly » Mon, Feb 26, 2024, 11:46 AM UTC

sidcool wrote: post #3

This is beautiful. Can any shape be expressed as a mathematical function?

Yes! Well, as long as the shape is closed and continuous (even if it is 3-dimensional). I should've clarified that in the post.

Re: An interactive guide to Fourier series (2022)

#7

Post by richrichie » Mon, Feb 26, 2024, 11:49 AM UTC

This is amazing. Very nice introduction to Fourier series (although i prefer Chebyshev!).

Re: An interactive guide to Fourier series (2022)

#8

Post by leumassuehtam » Mon, Feb 26, 2024, 12:10 PM UTC

The latest incarnation of Fourier series is in AI, in the so called RoPe technique.

Re: An interactive guide to Fourier series (2022)

#9

Post by halayli » Mon, Feb 26, 2024, 12:34 PM UTC

I recommend learning complex numbers and the problems they can solve before touching on the main topic, Fourier series.

Re: An interactive guide to Fourier series (2022)

#10

Post by felipendsdev » Mon, Feb 26, 2024, 12:39 PM UTC

injuly wrote: post #5

Thank you for posting my blog here! I've improved my writing over time, so reading an older post makes it feel dated. I'll try to post more rigorous technical articles this year.

It is very well written. I've learned more about this topic in this article than in some classes in college. Thank you!