Fourier Transforms || Theoretical Interpretations, Complex Exponentials and Window Effect

[@nassional]

Without exaggeration, I've watched over 30 Fourier videos so far, including popular channels, and this one is more than the others combined. Thanks, man.

[@rayday4644]

3Blue1brown now has a competition 😎

[@Tennis2016]

This video is even better !!

[@thisukainol]

@@Tennis2016 yepp

[@flamurbedrolli802]

3Blue1brown does not come close to this explanation . This video here is far better then any video i have seen on this .

[@Maths_online11]

3blue1brown furier transform video tbh didn't get to the point

[@Kargalagan]

​@@Maths_online11 3b1b introduced the concept. It was not a course.

[@Tennis2016]

This video should have multi million views to render justice to the effort and intuition put on creating such a explanatory and clear content … powerful !!

[@DiiaBloodyRain]

This is a jaw dropping explanation that actually reaches small-brained audience such as myself! I cannot applaud you enough for such an honest work! Thank you so much.

[@gulamm1]

Fully agree. Excellent explanation with color graphics but background music, for me, kind of annoying.

[@flamurbedrolli802]

you are not small brained . you are just saying that this video has all one needs to understand the concept , without needing to read or watch somewhere else . This video is explicite ,whereas other videos are very implicite and you blame yourself at the end of those videos because you dont grasp the concept as you should , but it is the video which is not explicite and selfsustainable , as it needs literature or other videos .

[@anasssofti9271]

Wow, your giving us a master class here

[@Molaga]

A stunning presentation. Technically rigorous. It has everything I want to know or say about Fourier Transform. Thanks -infinity to +infinity :)

[@davidtaylor3771]

Well done. I have watched many videos (3blue1brown as others have mentioned, and Eugene's videos), and your video can serve both as a fantastic introduction or as a follow up video for those who have previously studied the topic but want to revisit again. You have combined some lovely imagery, with soft meditative music and you yourself have a soothing voice. It is great to have more people such as yourself contributing in such a meaningful way.

[@juniorcyans2988]

Wow, I really like the prism analogy! Very helpful!

[@flamurbedrolli802]

This video here is far better then any video i have seen on this .

[@Tennis2016]

This is such an amazing video : best Fourier Series/Transform video 💎 … and I have watch all top science channels on this topic before 👏👏👏

[@tiffanytoulouse229]

best FT explanation and visualization ever met

[@ananthchandra7792]

Mathematical Tools & Techniques are main foundation to our modern & future technologies. Lot of Thanks to ancient & modern scholars,who develop Mathematical Technique (Trigonometry, Calculus,Probability, Algebra...etc) for solving complex problems in real time scenarios especially in field of Science,Engineering,Technology & Architecture.

[@borian1981]

I studied this stuff on 2004,before all those KZbin videos were available. Now,it's much more easy to understand Thank u for such clear explanation

[@cledieu]

You have convoluted art and science. Congratulations for this amazing piece of work.

[@k.m.amirkhasru1899]

owao.. that's the coolest thing I've ever seen? thanks a lot dude.

[@sqf-g4n]

Very +++ impressive video!!! thx

[@fantastic_n0b]

Man the prism analogy really hit me hard

[@Francesco_Luligo]

This is a piece of art

[@billraymond9972]

Excellent presentation and graphics. Thanks.

[@yolamontalvan9502]

Amazing videos with great animations. I’ll use manin to make videos to teach kids he numbers and how to count. Thanks.

[@djredrover]

Great video! Grant's Manim library is all over youtube!

[@pauldokter2725]

What a beautiful brain boom. Thank you. I have been mystified by this for too long.

[@2006mumu]

You did a wonderful job mate

[@prashantvishwakarma2091]

Great Explanation. Thank you very much

[@JosephParker7]

Work of art

[@Simchen]

This was immensely informative

[@RDayan932]

Thank you for putting this out, can't wait to see more videos from you on this topic in the near (hopefully) future.

[@gokulakrishnan3769]

Thank you for the wonderful explanation! Great work🎉 waiting for your new updates.

[@mario1ua]

Just WOW!!!

[@white-anthony]

This is amazing, please make more.

[@mnada72]

Thank you. You have explained it clearly. Very good luck with the rest of control theory topics. Waiting for the same for Laplace transform.

[@sandunsiriwardena3881]

A superb presentation

[@sirousmohseni4]

Great video. Thanks for making it.

[@TheJara123]

Jesus, you got a fantastic opening analogy I ever saw on KZbin phy. Super...

[@bkhoo5]

Bravo, great job done. Thx

[@userfky]

Fabulous vedio!!

[@agrajyadav2951]

Wonderfully explained!

[@Tech-mx3yp]

Ahaka ingun ani diay ni! Lamia ebalik skwela. Karon pako kasabut

[@wangjack9641]

very good ...thanks

[@johndunn5272]

Brilliant...and that's hard for me to say. Well done

[@momindox]

🔥🔥🔥 Yo niiice keep it up

[@TheJara123]

Why this excellent video has so few views?? Tube algorithm gone rogue? ..

[@putskan]

Great one, thanks!

[@manfredbogner9799]

Very good

[@x_keamas]

Awesome ❤

[@Troynjk]

Are you planning on making more videos? You’re really good at it.

[@paulgillespie4908]

Super stufffff

[@oraz.]

Awesome!

[@muhammadnajmirameli9498]

Came from reddit, good job sir!

[@tcnoz5842]

The best ever.

[@ebnsina873]

thanks dude this is very heplful

[@LUC-z4b]

Will you be coming back? I encourage you to do so. You could do a video on P.I.D. as your channel would be incomplete without it. Use real world examples: sluices on hydroelectric facilities, cruise control on cars, etc ...

[@govamurali2309]

Amazing, could you please do videos on Laplace and Z transform.

[@copernicus99]

Fantastic video! 6:55 ('here is our FFT' or did you mean to say 'signal'?)

[@splice6201]

I think he meant f(t)

[@salimbenchekroun7543]

Excellent animation! I also love the new perspective brought by the explanation. Are you planning on taking a more pratical (irl examples with maybe pseudocode) or theoretical approach for the rest of the series (pun not intended)? Cheers!

[@TheoryOfControl]

Most certainly, I needed the hardcore theoretical interpretation first to land the coming practical aspects. I am planning to proceed using MATLAB and Mathematica so viewers get comfortable with Fourier transforms as a tool. Then I will progress to a vibration analysis project that puts everything into practice.

[@abhishekshrivastava2889]

U r better than 3blue1brown

[@Sir_mostarda]

Awesome video! Keep going

[@JohnDlugosz]

You should have concluded by showing how this allows the finite transform to produce meaningful results using a sweep of chosen discrete frequencies, when mathematically (using an infinite signal) only the exact frequency will produce a spike and being off by just a little bit will be zero. With the finite window, you get increasing spike as you tune into the exact frequency.

[@paulmendoza9736]

Thank you!

[@Md.NasifIslam]

How come you have only 2k subscribers?!

[@speedsystem4582]

Is it just me, or should the signal move in the opposite direction here 2:16 ? (If x-axis represent times) I really like the way you phrase some stuff, coincides and validates how I think...

[@BiplobHossainSorker]

Thanks

[@brianbeast5252]

this may take me a few watches to fully absorb but very interesting and well explained non the less. what do you have planned next for the series?

[@TheoryOfControl]

It’s just the beginning and I am learning so much from viewers like you about what gaps to fill. The whole purpose of this series is to practice vibration signals because I believe they can be the best practice of signal processing. I am building the foundations for that. Each highly abstract video like this one will be followed by a more elaborate simulations using software packages like Mathematica and MATLAB/SIMULINK models.

[@brianbeast5252]

@@TheoryOfControl interesting and i like the idea of boiling it down into base physics not necessarily electronics as it could be used to describe more mechanical motions. how it would connect with seismology could be interesting although im not sure how much is there or how technical that may become. definitely going the right way about this so far though, good job.

[@keylanoslokj1806]

Why did you stop uploading? You could be one of the top tech utubers

[@themightyquinn100]

Maybe he died?

[@강모경]

안녕하세요. 간결하고 짜임새있는 설명 감사합니다. 스마트폰 속의 수학이라는 주제의 교육용 학습 영상을 제작하려고 합니다. 자료로 참고해도 될까요? 정확한 출처 기록 후 사용하도록 하겠습니다. 감사합니다.

[@salmantechnologies282]

Which software are you using for this graphical representation

[@daslolo]

damn i slept so good

[@drfaridonamdjadi7516]

Good video but inequality 0>t

[@agrajyadav2951]

thanks a lot

[@olafgunther9401]

wow, why didnt you continue??? you owe it to science for the sake of keeping new commers interested

[@Upendra3737]

Great lecture

[@NadeemALZayed-ed3cz]

♻️

[@canadajobs2304]

Don't quite get convolution at the end, especially the "land" part

[@TheoryOfControl]

The “landing” effect is more of an analogy than what actually happens. Think of how multiplication works on two signals, every nth sample of the first signal is multiplied by the same nth index of the second sample. If you checked the sinc function you’ll notice it’s centred around zero meaning if we multiply that by the spikes signal. Result will be zero because they are not aligned. Convolution on the other hand takes the sinc function sample by sample and slide across the spike signal, still most of the new signal is zero but when the spike matches the sinc, multiplication is non zero. Here’s a video that visually helps you see convolution in action. kzbin.info/www/bejne/l5SkqGiNfNmtq80

[@maths.visualization]

Can you share video code??

[@MaheshPatel-nk9fg]

How do you create the animation? What is the name of the program ?

[@Nick2011881]

The circle you are drawing at 8:16 seems to be cos(wt) and not sin(wt). Are you sure its sin(wt)?

[@noumenon7495]

Plz add Fourier photo like newton

[@canadajobs2304]

What's your patreon link?

[@TheoryOfControl]

Thank you for pointing that our I appreciate your enthusiasm, I am working on that and will update it on the distribution very soon.

[@ventriloquistmagician4735]

Very good. How can I donate a few dollars? God bless you

[@ooze9808]

one must be slightly insane to have thought of these things, I have come to this conclusion.

[@atanjacket]

Do you have a github?

[@TheoryOfControl]

github.com/319willy

[@RubenQuintero-n3r]

Go storm regal and stone mmmoth

[@rishabhkshrivastava2276]

Please upload in hindi also using AI dubbing

[@georgen9755]

Discrete

[@wurnotantmlb]

could this have been one single bit more useful lol.

[@aerodynamico6427]

Horrible. Impossible to understand.

[@zbigniewloboda3393]

You have no idea what you talking about.