Fourier Transform Explained Intuitively

I’m Ali Alqaraghuli, a postdoctoral fellow working on terahertz space communication.

I make videos to train and inspire the next generation of engineers. If you want to help me, share this video with a friend who might be interested in engineering.

The opinions in this video are my own and do not represent NASA or any other organization.

[jaytayga]

Im not even studying anything with engineering but your videos are so interesting. Just seeing your passion during the explanation makes it even more interesting

[camgere]

Step one in taking Fourier transforms is to categorize the signal into one of four categories: continuous/discrete and periodic/aperiodic.

[philipricossa]

Thanks so much. Am 80 year old retired cannery maintenance man . Looking forward to part two!

[guitarista]

I've always believed a strong intuitive understanding of mathematical and physics ideas is very important
in truly getting it when trying to master these subjects. So, kudos for what you are doing.

[Tade.G.B]

You can't imagine how much people are being helped b/c of you

[arthasmenetil]

hey, just wanted to say that i love your new educational videos.Please, keep going!!

[IkramRemmal]

much appreciated all the time looking such a youtube channel to get deeper understanding linear systems
in real worlds not just apply rules

[BrianWagoner-qi]

Excellent intuitive explanation, especially for a non- mathematician such as myself who actually enjoys learning about math

[agent]

this was so much fun thank you big brother! we were taught some fourier series and other things too, honestly none of our teachers even bothered to explain what a taylor series was for either! can you please make a video dedicated to some series like those please? itd be super duper helpful and awesome of you!
thank you again!

[mohsinshawkat]

Great Dear Ali. Joseph Fourier would have been happy and grateful if he had watched your video. The way you use is unique and makes it easier to understand this important and wonderful topic. The philosophical side of Fourier is amazing as it shows us that everything in existence is the result of the convergence of smaller elements. For example, a straight line is the result of the addition of sine waves.

[ibrahimyt]

THANK YOU SO MUCH MAN! CAN'T WAIT FOR PART

[yasskye]

I am not in the field and have no knowledge of anything you teach but I subscribed anyway because it’s fun to learn from you 🙏🏼

[Tade.G.B]

You always break complex concepts into simpler one.best explanation!

[Delan]

Nice video as always Dr. Ali . Looking forward to the next video

[shisoy]

Nice. I always wanted to understand the math behind fourier transform. Looking forward next video.

[virtueose]

Thanks dude I love transforms especially Fourier!

[onpathak]

Nice video. For low frequency demo (for which you were at a loss, jokingly), you can make a slight thud on the blackboard by your hand. It will mimic the percussion instrument.😄

[danielorueri]

I actually enjoyed this intuitive outlook on Fourrier transforms....I await the next video. Thanks so much.

[jtms]

bro rlly left us on a fourier transform cliff hanger 😂 praying for that part 2 soon, love the vids

[dolbodolb]

In your next video could explain it in terms of Hilbert space and a change of basis, and how the time signal could be represented as a N-dimensional vector in a vector space with a Kronecker delta basis and how we essentially project it onto the orthogonal function basis where every basis function is sin/cos or just e^-jwt. And also why sin/cos are orthogonal functions. I think it's the most intuitive approach since we essentially calculating a dot product of two continuous functions. And it would be nice to explain the dot product as "how much of vector A is in the direction of vector B" and how it is applicable to the FT. But I've never seen it visualized / explained as a change of basis / projection onto the frequency components.