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Just lovely

question, how do you know which function (cosine and sine function) we would use given the amplitude and its phase?

Simon, in 9 minute and 19 seconds you are saying to "simply double every value below the Nyquist limit". It means to double X(0) - the DC component and Nyquist component. I don't think that's correct.

That's comprehensive explanation!

@7:20 the phase-shift (exponential) index shall be doubled for F_2^o, and quadrupled for F_3^o.

Cool 😲

What an explanation! Thanks.

¿???¿?????????????????? P,ease explain something WHAT ARE YOU DOING???????

WHICH IS THE ORIGINAL SEQUENCE?

Very good!

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

god bless

Thanks! but one thing , ow do we know that the angle of the phase is based off of the cosine wave, I don't understand the last part.

Finally, a proper explanation.

Legend.

WOW!!!AMAZING!AWESOME MAN

GOD!!!!!!!THE MOST MOST MOST AMAZING VIDEOS ABOUT FOURIER TRANSFORM I 'VE EVER SEEN!!!!!!!!!

YES!!!!!!! THIS IS EXACTLY WHAT I NEED!!! 😌😌 thank you so much! i have been struggling so much.

very well explained. Thanks for making the effort.

I think some missing in 5:57 x4 should be the x3.

Amazing video I feel like I'll get an A for my DSP class.

best video regarding that point have been searching for the entire day and that video solved it out . thank you

very nice and straight forward explanation

please come back!?

Still the best after 8 years...

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

Wonderful

Thank you!

Finally... One of the hundreds who showed what should I do with the output of FFT. Till now this was implicit.

I enjoy maths that is explained using plots, clarifications on the terms used in formulas, and numerical examples.

09:05 I get why you get rid of everything above fs/2 but, how did you know that you had to double all the magnitudes after that? Has it any relation with conservation of energy?

can you explain the last part again. why does the phase refer to cosinus?😅

Amazing! Thanks

couldn't hear it - up the amplitude. discrete gaps in the explanation need to fill in those gaps

Why's the sound so low😊

My 2 days hunting came down to a simplest explanation that i could find 😂

amazing i spent so much time to get the concept and you simply explained everything in such a simple way

Gonna watch 30 more times then hopefully I will get it lol

thanks it really helps a lot !!!!!!! great video....

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

this was a GREAT vid, all props to the maker!! but i had a question, im really confused with the concept of nyquist limit and why he multiplied the magnitudes by 2 after that (this is from min 9:01). Any explanations?

Man i have spent hours, just to understand the basics and you explain them in just over 10 minutes. I wish i would have found this a lot earlier 😂

very clear

Thank you very much

very, very understandable. thanks !

OMG - its the first video I see on this topic that makes sense, Thank you soooo much

Best DFT explanations ever. I am very impressed. All details of DFT are presented in ways that are as simple as they are critical. I admit that I had to do enough prior studies for your video to make good sense, but to be able to tie up all the loose ends in people's fractured understandings of DFT and present the subject in such a outstanding way and in its entirety is a rare talent. Thank you again.

I finally understood FFT

Did you know that auto mechanics are good at calculus? They use "oiler's formula. And doctors and nurses are proficient, too. They employ the "hospital rule." Good video. Forgive my twisted sense of humor!

I'm stuck on trying work out why you double the values less than the nyquist when there are points beyond nyquist. That was the only confusing part. Can someone clear this up? Do you double the values always or only when data is found beyond the nyquist?