Discrete Fourier Transform - Simple Step by Step

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Published 2015-08-03
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!

All Comments (21)
  • 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.
  • "If you can't explain it that simply, you don't understand it well enough." <3 Thanks.
  • @davidcian4240
    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
  • @urgay63
    Honestly, thanks. The DSP teacher keeps pulling out random facts about a signal from the DFT plot and i'm like: "when did we talk about this in class?" You have just saved me hours of hair pulling frustration and for that I thank you.
  • @ballentinems2
    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.
  • @AmeltonGsairus
    The best explanation on Youtube channel I have ever seen in my life! Easily refreshed my knowledge about DFT. Thank you so much!!
  • @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.
  • @guest9580
    Best video. Spent ages trying to figure it out but you are here with a short video clearly explaining it all. Much appreciated
  • @louism.4980
    Best introduction on Fourier theory I have ever come across. Thank you times a million!
  • @tomschubert9725
    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
  • Simply and concisely explained, saying all and only the necessary things to really grasp the concept. Best explanation on DFT ive ever seen!
  • @SirSeaKing
    You're a lifesaver, let the universe bless you kind sir. Thank you
  • @shamsigamer4107
    You deserve all the praise you are getting. These videos are what I have been looking for, just like many other commenters. Thank you so much.
  • @satanaz
    best video about this topic out there in youtube! I'm posting this after watching hours and hours of videos in 2023
  • @bhaiyyu
    Thank you very much, very useful! I have never seen it being explained more straighforward than this.
  • @gloriajing7268
    Now is 2024, I find this is the most clear video talking about this topic. Thank you so much Simon!
  • @MilanKarakas
    Wow, excellent presentation. You made it simple to 'digest' and understand. Thanks!