What convolution really is: "when you convolve two functions, you're basically combining them in such a way that tracks their interaction throughout time". I guess that is a gist of the video.
The issue with that sentence is that it would be equally true if the integrands were S(x)*f(x+t) or just S(x)*f(x). Just “Interaction” is too vague to describe what it is.
Electrical engineer here who graduated nearly 7 years ago, and I've somehow slipped through without properly understanding convolution. 1st Year EE was "you'll learn this next year" and 2nd Year EE was "you should have learnt this last year", and somewhere in between I never bothered to learn it myself after looking at the maths and shoving it in the too-hard and not needed for power engineering basket. This is the first time I feel like I've properly understood convolution, at least intuitively, and now looking back at the maths on Wikipedia, it makes a lot more sense now. Thank you!
Physics student here. I'm in third course and I've been using convulations now for over a year without fully understanding what they meant. That has changed now. Amazing explanation. Loved the analogies.
You're right, there's ample videos to explain the pure math of convolution but you perfectly explained the intuition behind it and how it can be applied in the real world. I look forward to seeing more great explanations from you! Thank you so much for the work!
Mathematicians should learn how to turn to intuition. You just saved me hours of work trying to understand convolution, when it was literally one slide in my theory for convolutional networks.
Yup exactly. I would also say please at least know how to add fractions while you come in college. My students in precalculus class dont know how to add so its extremely difficult to teach . High school teachers should be fired
00:03 Understanding convolution through an analogy. 00:44 Convolution helps visualize the amount of smoke in the air from fireworks. 01:22 Understanding how to calculate cumulative smoke from multiple fireworks over time. 02:00 Calculating the amount of smoke at different minutes based on previous fireworks and newly created smoke. 02:45 Convolution is summing up contributions from different time frames. 03:27 Convolution integral tracks running contributions of product of functions over time 04:09 Convolution is combining functions to track their interaction over time. 04:51 Understanding the intuition behind convolution.
I was learning Laplace transforms when I came across the term convolution and while I did realise how it helps Laplace transforms I didn't understand why would one come up with this operation and what does it really mean. Now I fell like I have a good understanding of what convolutions are and I don't just memorise raw formulas. Thanks!
Thank you so much, man! Electrical Engineering student here, u just helped me understand the most challenging and difficult subject I've faced by far. That's exactly what annoyed me the most about convolution: most teachers only show you how to calculate instead of what's actually happening there.
The fact that I had just went through a simular jounrey just to try to understand convolution....thank you for the video. It makes the concept seem much clearer,
1 year of college courses, and i can do the math but don't quite understand it. I closed this video at 2 mins fully understanding the intuition. Thank you man! Sometimes a well posed example is all it takes!
Amazing explanation and probably the most clear explanation … I work for a dsp company and have written for code for convolution… with this video, the whole work I have done has a new level understanding and clarity that I have never had..
best explanation ever heard searching for it everywhere on the internet, your video should be watched by all of the engineering professors, they could learn something about teaching
Yeah I was just explaining the mafs of Convolution to a classmate when I stumbled upon your video. He had a problem grasping why we use tau instead of T and the Fireworks example really got through to him. Many thanks and keep making Videos if at all possible. Getting something like this across as clearly as you did is a real Talent!
Thanks man I watched the 3 blue 1 brown video on convolutions, you know this guy that has incredible intuitive animations, but I could not grasp the intuitive understanting, and you with just a camera and some cheap fireworks totally nailed it! Thanks my bro! You achieved your purpose at least in my case:)
This is why yourube was invented. For awesome explanations and proper teaching. We can now filter out the bad tutors who have no understanding of what they are teaching! I got a load of professors who just regurgitated the text books without explaining any of the intuition on what was really happening. In hind sight, they probably didn't understand it themselves! This is where we can revolutionise education.
This was a great video! thank you for creating it! I was on Wikipedia too trying to understand those equations and graphs. This is a very well made video that explains the intuition perfectly! Thank you!
Legendary approach to explaining difficult-to-understand topics, Thankyou, you hit the nail on the head with saying that intuitive understanding is important for being able to apply the concepts in the real world, and not just pass exams through memorising equations
Wowwww....It just took me about 3-4 times of listening to the example of matchsticks and the smoke coming out, but it blew my mind.....very nicely explained. Thanks a ton for your effort and clearing my doubt!!!
...amazing...in EE school, you are introduced to the theorem and given an example...you go thru the motions without really understanding what you are doing...thanks...
omg, i've been learning signals and systems for 2 YEARS just copying the equation and blindly flipping and dragging and I've never understood what I'm doing or what a convolution until literally right now. I feel so deeply satisfied and everything finally clicks. Thank you so much. I literally can't find an explanation as good as this anywhere else on the internet.
Thank you very much, It was a great explanation. I was doing exercises on convolution mathematically without understanding why I do all of this! But everything makes sense now.
Thank you for this amazing explanation! Everytime in class when we were using convolution I never could understand the meaning of it! Neither anything I read or other videos could make it as clear and simple as this!
I really liked your explanation. I had heard of convolution before but this is the first time I have understood what it means. Quick queston. As the number of match sticks increase, wouldn't the amount of smoke also increase so 5 matches would have 5S(0) amount of smoke?Please keep making videos like this. I prefer the intuitive approach before delving into the technicalities of the maths. Nice job. Thank you.
This was an amazing video! Kudos to your efforts! I actually get the intuition now. Will share this video with people who want intuition about convolution fuction.
Must say manh! I'm impressed. So in a nutshell what convolution does is, keep the track of two functions by combining their individual contribution at each instant of time, as the time progresses. I see that you are even into aviation. Anyway, thanks a tone, to back me up on how I used to think of it.
I made notes onto a paper as I watched the video and it really helped me understand this topic better. Just looking at the mathematical formulas from my lecture materials didn't make me get it. Thank you very much
Very well explained. Watched a bunch of videos on this topic, but wasn't able to grasp the intuition behind this. But you did it perfectly. Thank you !
What convolution really is: "when you convolve two functions, you're basically combining them in such a way that tracks their interaction throughout time". I guess that is a gist of the video.
The issue with that sentence is that it would be equally true if the integrands were S(x)*f(x+t) or just S(x)*f(x). Just “Interaction” is too vague to describe what it is.
@@cauchyschwarz3295 thats why there was an example, he's not a professional explainer, cut him some slack
Excellent video. Thanks for making the convolution definition so easy. After long time I understood the meaning of convolution.
From a engineering student who didn't had any clue about real meaning of convolution until this video: Subscribed
Electrical engineer here who graduated nearly 7 years ago, and I've somehow slipped through without properly understanding convolution. 1st Year EE was "you'll learn this next year" and 2nd Year EE was "you should have learnt this last year", and somewhere in between I never bothered to learn it myself after looking at the maths and shoving it in the too-hard and not needed for power engineering basket. This is the first time I feel like I've properly understood convolution, at least intuitively, and now looking back at the maths on Wikipedia, it makes a lot more sense now. Thank you!
Physics student here. I'm in third course and I've been using convulations now for over a year without fully understanding what they meant. That has changed now. Amazing explanation. Loved the analogies.
Convulations 😭
You're right, there's ample videos to explain the pure math of convolution but you perfectly explained the intuition behind it and how it can be applied in the real world. I look forward to seeing more great explanations from you! Thank you so much for the work!
That is the most awe inspiring and intuitive explanation I have ever heard on convolution. Hats off to you sir !!
Coming back here yet again, this explanation continueous to be a gem. Best explanation hands down
Why on earth do you only have 1.9K subs? That was probably the most intuitive explanation I've seen so far (and with quite good production value too)!
Mathematicians should learn how to turn to intuition. You just saved me hours of work trying to understand convolution, when it was literally one slide in my theory for convolutional networks.
Yup exactly. I would also say please at least know how to add fractions while you come in college. My students in precalculus class dont know how to add so its extremely difficult to teach . High school teachers should be fired
00:03 Understanding convolution through an analogy.
00:44 Convolution helps visualize the amount of smoke in the air from fireworks.
01:22 Understanding how to calculate cumulative smoke from multiple fireworks over time.
02:00 Calculating the amount of smoke at different minutes based on previous fireworks and newly created smoke.
02:45 Convolution is summing up contributions from different time frames.
03:27 Convolution integral tracks running contributions of product of functions over time
04:09 Convolution is combining functions to track their interaction over time.
04:51 Understanding the intuition behind convolution.
Really great explanation man. Hadn't even heard of convolution before but everything made complete sense! Keep it up
Thank you! Will definitely keep uploading this kind of content
I was learning Laplace transforms when I came across the term convolution and while I did realise how it helps Laplace transforms I didn't understand why would one come up with this operation and what does it really mean. Now I fell like I have a good understanding of what convolutions are and I don't just memorise raw formulas. Thanks!
Thank you so much, man! Electrical Engineering student here, u just helped me understand the most challenging and difficult subject I've faced by far. That's exactly what annoyed me the most about convolution: most teachers only show you how to calculate instead of what's actually happening there.
The best explanaition ever!
The fact that I had just went through a simular jounrey just to try to understand convolution....thank you for the video. It makes the concept seem much clearer,
1 year of college courses, and i can do the math but don't quite understand it. I closed this video at 2 mins fully understanding the intuition. Thank you man! Sometimes a well posed example is all it takes!
This man shuold be protected at all costs.
Amazing explanation and probably the most clear explanation … I work for a dsp company and have written for code for convolution… with this video, the whole work I have done has a new level understanding and clarity that I have never had..
best explanation ever heard searching for it everywhere on the internet, your video should be watched by all of the engineering professors, they could learn something about teaching
I was speculative when you started. However, that was the best explanation Ive heard (After covering the same topic in two different classes)
bro you made the analogy like an artist... Thanks a lot :))
This is the best way to understand convolution and the only one I found to truly explain the intuition. Thank you.
Yeah I was just explaining the mafs of Convolution to a classmate when I stumbled upon your video. He had a problem grasping why we use tau instead of T and the Fireworks example really got through to him. Many thanks and keep making Videos if at all possible. Getting something like this across as clearly as you did is a real Talent!
Thanks! I’m glad it helped him :)
Thanks man I watched the 3 blue 1 brown video on convolutions, you know this guy that has incredible intuitive animations, but I could not grasp the intuitive understanting, and you with just a camera and some cheap fireworks totally nailed it! Thanks my bro! You achieved your purpose at least in my case:)
5:05 you are absolutely right. Excellent video bro. all the best 👍
This is why yourube was invented. For awesome explanations and proper teaching. We can now filter out the bad tutors who have no understanding of what they are teaching! I got a load of professors who just regurgitated the text books without explaining any of the intuition on what was really happening. In hind sight, they probably didn't understand it themselves! This is where we can revolutionise education.
This was a great video! thank you for creating it! I was on Wikipedia too trying to understand those equations and graphs. This is a very well made video that explains the intuition perfectly! Thank you!
Seriously, a topic I've been wondering for years and finally actually understood the intuition behind it! You nailed it!
Thankyou for this, now i finally have some understanding what convolution means!
extremely helpful video - from a biomedical engineering sophomore
Legendary approach to explaining difficult-to-understand topics, Thankyou, you hit the nail on the head with saying that intuitive understanding is important for being able to apply the concepts in the real world, and not just pass exams through memorising equations
Degree in math and this little video is the best explanation of convolution i've heard BY FAR
Wowwww....It just took me about 3-4 times of listening to the example of matchsticks and the smoke coming out, but it blew my mind.....very nicely explained. Thanks a ton for your effort and clearing my doubt!!!
For 30 years I have though that this was a concept I would never intuitively understand. Now I believe I do. Thank you so much. 🙂
...amazing...in EE school, you are introduced to the theorem and given an example...you go thru the motions without really understanding what you are doing...thanks...
a confusing concept made simple using an easy demo. Not so many can do that. Dynamite, the writer deserve a salute indeed.
Coming back to here again, this explanation is a gem. Best explanation hands down
Best explanation of convolution I have heard so far.
This is a wonderful analogy and explanation. Forwarding your video to my teacher--I think lots of students can benefit from this! Great job!
I bet the teacher will finally understand the convolution .
This video is awesome .. deeply inspiring way to learn a concept.
Thanks God I found this video. Most instructors tell you how to compute a convolution not what it is and therefore not what it is good for.
You are given a amazing answer of convolution. Thanku so much for this.
Never seen such intuitive and practical explanation about Convolution. Thank you!
omg, i've been learning signals and systems for 2 YEARS just copying the equation and blindly flipping and dragging and I've never understood what I'm doing or what a convolution until literally right now. I feel so deeply satisfied and everything finally clicks. Thank you so much. I literally can't find an explanation as good as this anywhere else on the internet.
Thank you man I was searching online for a representation that enables me to imagine this. But only you fulfilled my curious mind. Thanks
Thank you very much, It was a great explanation.
I was doing exercises on convolution mathematically without understanding why I do all of this!
But everything makes sense now.
Awesome explanation.. Hats off sir..
Thank you so---o much! I finally understand what convolution is. Excellent explanation!
I finally understand it and not just the mathematics. Eureka moment, truly!
I finally understood what convolution really is, othen than its formula. Thanks a lot!
Thank you for this amazing explanation! Everytime in class when we were using convolution I never could understand the meaning of it! Neither anything I read or other videos could make it as clear and simple as this!
Very creative way of explaining. Nice effort in conveying the message. Thanks
You are amazing, it was a really simple intuitive way of understanding convolution.
Thank you, this is the most intuitive video on convolutions!
Well done! the math... I've always known the math, but now I understand the reasoning behind it. Thanks.
You have given the best explanation for convolution I have ever heard, thank you
I really liked your explanation. I had heard of convolution before but this is the first time I have understood what it means. Quick queston. As the number of match sticks increase, wouldn't the amount of smoke also increase so 5 matches would have 5S(0) amount of smoke?Please keep making videos like this. I prefer the intuitive approach before delving into the technicalities of the maths. Nice job. Thank you.
Found this from Reddit and it’s amazing. Don’t stop making videos please
Such a good and intuitive way to describe this topic. Great video my guy !
You deserve way more subscribers. You make things eloquent where others can’t. It’s not just this video, either. Well done, and thank you.
best way to explain convolution. Thank you!
Noice explaination
best explanation so far. thanks a lot, i used to think that convolution was just multiplying 2 functions.
The concept comes First then the formulas. Great intuitive explaination. Congrats sir.
Wow! I've been trying to understand this since 6 months. Now I've finally got it. Thanks!
Fantastic analogy. I never comment on YT but this really helped me understand. Thanks!
Nice explanation
loved this video. I really appreciate knowing how to think about it more intuitively
best explaination i ve heard so far. tks
Great explanation. Very intuitive.
thank you man, i have an exam in 2 days time
Wow man, keep up the good work. My professor sucked at explaining convolution this well! Thank you so much!
wow, thank you so much! indeed I finally get it, after watching so many videos about the math and having no clue about the logic.
beautiful explanation
Very succinct and intuitive explanation. Thank you!
Thank you very much for this video, finally I understand the meaning of the convolution. Such a nice thing!
Thanks. It was really intuitive and easy to understand in a very simple manner.
saving my signals and transforms midterm, bless this man
Amazing explanation!
Best explanation of the convolution.
Thanks a lot for such an explanation, my 2 days struggle to understand this finally ended in 5 min!!
I was exactly searching for this explanation of convolution... thanks
The firework example, just was awsome!!!!!!! Thanks
This was an amazing video! Kudos to your efforts! I actually get the intuition now. Will share this video with people who want intuition about convolution fuction.
Must say manh! I'm impressed.
So in a nutshell what convolution does is, keep the track of two functions by combining their individual contribution at each instant of time, as the time progresses.
I see that you are even into aviation.
Anyway, thanks a tone, to back me up on how I used to think of it.
This is a really great intuitive description of convolution! Thank you!
Awesome! I am not going to be confused again
The real-world bridge example was cool. Thanks for this video! Kinda neat music.
That's super impressive explanation, thank you sir!
I made notes onto a paper as I watched the video and it really helped me understand this topic better. Just looking at the mathematical formulas from my lecture materials didn't make me get it. Thank you very much
I just have to say thank you. oh, i did click the like button. need more explanation like this for other topics
My mam also gave this example in Class and I easily understand this they recommend this video...Thanku 😊🙂🙂
Maan gaye bhai😘😍😘🤩
Thanks from 🇧🇷 Brazil 😊 Very nice explanation 👏👏👏👏
Phenomenal video. I've been trying to grasp this for years and I only just understood it. Thank you!
Thank you so much for this! How I wish the study materials included such an example to explain what is actually going on. Made my life so much easier!
Very well explained. Watched a bunch of videos on this topic, but wasn't able to grasp the intuition behind this. But you did it perfectly. Thank you !
That last example really nailed it brother, thanks! Now I can find Penny!
Amazing explanation man, bravo 👏 👏👏
Thank you very much.
It is really make sense.
I understand the logic behind the convention and why do we use it in signal processing