Introducing Convolutions: Intuition + Convolution Theorem

this was extraordinarily well explained

we can do this by applying the tau-t also in g.
then why do we do that taking the mirror of g

Thank you

finally someone explains concisely what that fucking -t means for fuck sakes, thank you alot best explanation of convolution on the internet.

"I wont be spending the next 18 minutes showing you the convolution of sine and cosine in an effort to demonstrate that the convolution of two actual functions is an actual quantity" damn, some harsh words for sal

best video for convolution

Oh my god, I have been trying to gain an intuition on this topic for so long. So glad I ran into this video! Thank you, sir.

I've always learned that the upper bound of the integration was 't' for the laplace convolution, not 'inf'. One give you a function of t the other gives you a number. How do we distinguish between these two?

Worst explanation ever

Thank you

Amazingly intuitive explanation! Thanks a lot man, only that sarcastic riff at the OG Khan at the beginning could have been avoided ¯\_(ツ)_/¯

thanks for the video; I didn't get how you split the exponential into two forms. Can someone shed light on that part? thanks

Thanks for the explanation... Atlast got a clear visualisation on this topic

FYI, t - tau is the reflection of tau in a vertical mirror at t/2.

This is such a MONUMENTALLY important idea in electrical engineering, I don't understand why so many other videos and teachers are so bad at explaining this topic

From your last video almost like 10 years ago and you said the upper limit and of the integration to be t, then the lower limit of the integration to be zero thereupon leading to totally different result, can you explain the reason behind this two different operation?

Getting me through signals and systems man.

You're actually sweeping across values of tau not t. t is a constant inside the integrand and that is why integrating results in a function of t, y(t).

Boundary condition between negative side and positive side can use Laplace Transform too. Fourier Transform is just a special version of Laplace Transform.

I love you!

khanvolution lol

Khan-volution?

Excellent <3

great explanation! thanks

genius

First time seeing "Faculty of Khan", after coming from Khan Academy, also thought it was a robot talking and couldn't help but think- is this an incredibly advanced neural network, trained on Khan Academy neural net tutorials to output simpler neural net tutorials? Is this a weak AGI primitively reaching out and asking us to bring it to full capacity? If so, uh... I'm here to help Cheers! 🍺

Omg thank u so much. This was very helpful.

Awesome explanation

but I wonder why do we need a construct such as convolution?

Thank you very much) The explanation is so clear I've watched only for about 2 minutes and already got the idea behind the use case

Why is g flipped? I mean, why is the convolution considered to start at (t - tau) for g? Why can't we calculate f(t) * g(t) instead of f(t) * g(t - tau)?

This is not intution man you jus explained formula

haha, amazing video !! Thanks man !!

I've been through all four calc courses and am on Linear Circuits 2, and this is the first time anyone's written the first part of the definition.

And it makes sense now.

Khanvolution

Thank you

excellent video

huh??

Good explaining! This is why Convolution that is used for image filtering is also called "convolution"

Thanks god that you made me saw this video in the first month of the semester

What a fantastic explanation. :-) 🙏

so what the idea ,in the case that one of the function is not well defined somewhere ?

Super helpful thank you

The hero that we all needed

He is dad of khan academy

What do you use to make the drawings?

Ha Ha

Amazing explanation, thank you!