Discrete Fourier Transform - Simple Step by Step

Easy explanation of the Fourier transform and the Discrete Fourier transform, which takes any signal measured in time and extracts the frequencies in that signal.

This is a work in progress, let me know if anything doesn't make sense, and I will update the video to make that clearer. Thanks for watching!

[louisarquie]

I waited 40 years for this! Thank you so much!

[haimijordaan]

how is it possible that I have spent probably 40 hours trying to figure this out, dwelling in the dark and you answered everyone of my questions and uncertainties in 10 mins? You are my hero Simon Xu.

[HamzaNajahOfficial]

"If you can't explain it that simply, you don't understand it well enough." <3 Thanks.

[satanaz]

best video about this topic out there in youtube! I'm posting this after watching hours and hours of videos in 2023

[SirSeaKing]

You're a lifesaver, let the universe bless you kind sir. Thank you

[ballentinems]

Simon, I cannot stress enough how impressed I am by your explanations. They are very well thought out and presented. Pity that you haven't continued this channel. So easy to digest.

[mohamedabdalla]

For me, you are the best one who explained the Fourier transform.
After 7 years in the university, I understood the Fourier transform today.
Thank you very much

[tomschubert]

5 years ago you‘ve made this video and since now nobody has explained it better than you did in just 10 min. Good job

[gloriajing]

Now is 2024, I find this is the most clear video talking about this topic. Thank you so much Simon!

[davidcian]

You made only a couple of tutorials ever, but boy, are these the best math tutorials I've ever seen on YouTube... No frills, so clear! I'm so happy to have found these gems :D

[nikhilnagarkar]

Hands down this is the best explanation of Fourier. Wonderful!!

[pherchuz]

Was so hard to find someone that actually did this step by step, best video I've found on the subject!

[vtcore]

Thanks for sharing! Best video about DFT.

[helmutalexanderrubiowilson]

you explain far better than all the textbooks i found about this topics. thank you man!

[Copelion]

This is the one video on Youtube about Fourier Transform you need to watch, and I do constantly refer back to it. Thanks. I would really like to thumbs up this many times.

[jackiezou]

Nothing is better than a good example. Thank you so much!

[unknown]

Holy crap. Thank you. Why is it so hard for the rest of the world to explain this properly.

[witoldsosnowski]

All the other explanations lacked a proper example. The best tutorial on this I have ever seen

[daviderizzotti]

Simply and concisely explained, saying all and only the necessary things to really grasp the concept. Best explanation on DFT ive ever seen!

[Ureallydontknow]

By far the best explanation on YouTube!