Convolution Equation Explained ('Best explanation on YouTube')

Explains the equation for Convolution in a graphical way.

[ivanchen]

This is literally the "Best explanation on YouTube".
No clickbait, pure gold.

[AboMoh-xy]

I studied signal processing but was only memorizing the mathematical rules without understanding. But after watching your lessons it seems very simple, every professor has to watch your lessons ... you are genius.

[trentdrinkwater]

Iain, I dont know where you're from but by god, if i ever meet you - im buying you a beer. Your videos are intuitively explained and simple to follow with often very relevant examples. Really appreciate it, thank you for the effort into these videos

[vneger]

This is really the best explaination on youtube. No fancy graphics or bizarre examples, just a simple solid explanation given in a straightfoward way.

[shikhinmehrotra]

Searched the internet for intuitive explanations of convolutions but this is the only video that made complete sense and actually 'explained' it. Great stuff Iain. Please keep these coming, perhaps beyond signals and systems as well, for broader math.

[zanecook]

I'm glad I found this video. Nobody else explains it as well as you. Well done sir! I'm glad there are people like you out there that can explain these concepts so well. I'm subscribing.

[HarpreetSingh-kezk]

It is, without a doubt, the best and simplest ever explanation.

Although I did comprehend convolution in a different way, I have mentally retraced your graphical explanation.

Therefore, keep jockeying your explanation in my memory storage whenever I need convolution.

[swat_katz_tbone]

THE BEST EXPLANATION OF CONVOLUTION !!! Your channel is going to get a lot of traction very soon and I have no doubt about it!

[MGTOW-nnls]

I watched many videos of mathematicians trying to explain convolution and all were disconnected from the real life. The Teacher explained it perfectly well.
These videos are must-watch for every engineer.

[irrationalpie]

This is one of the best convolution explanations on Youtube or anywhere. I'm an RF engineer with 10+ years of industry experience. I think it would also be helpful to point out towards the end that for causal systems (where tau > t), h(t - tau) is zero, so the integral can go from -infinity to t, instead of -infinity to +infinity.

[ZzSlumberzZ]

The title wasn't an exaggeration. This is indeed the best intuition builder on convolution!

[electro.engineering]

That's [by far] the best explanation on Convolution.
Thank you very much, Sir. I hope your channel goes 🔥🔥. I am already doing my part (liking and commenting haha)

Your knowledge + a slightly more-digital approach (maybe using a tablet, where you can give colours to the drawings, pre-draw some of the pics, highlight some terms, etc...) and your channel would grow up quicker, I guess.
Ah, and by doing that, you'd have a PDF version of what you do on the video. People (me too) love that thing, because they can annotate on them while watching the video, and that is very effective.

PS: I am fine with pen and paper, no problem there, but I have seen people not watching these kind of videos, because there was another one using some tech, and they think they'd understand better that way. I am sure that if they gave it a try, they'd love your channel and subscribe right away. So, we just have to get them to try at least one video and that's it.)

But, this is only a thought, because I want you to ⬆️⬆️.
But don't forget, your videos are amazing the way they are. And I love all of them.

I hope you're doing well, Sir.
Greetings from Germany!

[zyctc]

I learned this back in university and got a real high score out of the course by pure memorizing formulas but here I am after 10+ year and now I really understand what is going on! Thanks, and this is the "Best Exlanation on YouTube"

[slightlychaotic]

This is the best explaination I have ever seen in giving the convolution formula intuitive sense.

[danilomartins]

Best explanation I could find on the internet, both intuitively and mathematically.

[kirancp]

This is the best explanation I have seen . I have seen the lecture videos of Professor Oppenheim himself but your explanation is more intuitive and clear than that

[therealchristiangirl]

I have an examination coming up soon and watching this video is explaining everything. Thank you so much for this playlist. Three years ago still valuable today

[nickhusic]

Best explanation out there. It makes much more sense when you first approach it with a discrete amount of delta functions.

[weisanpang]

Hello Iain, you are blessed with knowledge, passion to teach and intelligence.
I love that you responded to almost all your viewers regardless of how long the videos have been posted. I have some confusions on the application of convolution. I understand the operation of convolution from pure math standpoint, namely finding the overlapped area of 2 signals, with 1 of them reflected/reversed and shifted from left to right on an xy plane. However, if it is applied to electrical signal over time for example, the impulse response represents the output of the system for an unit impulse as input, specifically, you mentioned that a continuous time input signal can be seen as many scaled unit impulse with infinitesimally small time interval. If we take at each time instant, the ouput is the sum of input signal multiplied by its impulse response delayed by the same amount of time, and the result could be a non-trivial positive number, even at time t slightly greater than 0. However, if we use integration, given the small range in integration interval, the area would be very very small. This is my confusion, can you help explain? Was my question clear?

[edwinr]

Best teacher 🙂
The Google should suggest your answer whenever someone types what is convolution 👌