What is convolution? If you've found yourself asking that question to no avail, this video is for you! Minimum maths, maximum intuition here to really help you understand the idea behind this complex topic.
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.
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.
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!
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.
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.
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!
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
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
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!
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!
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..
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,
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:)
Very well explained. We need this kind of teachers who can first explain a concept intuitively rather than just jump into maths and equations. Thank You so much sir for explaining such a complex topic easily.
...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...
Thank you very much for this video! I really love learning about the intuition behind mathematical things and this video gave me a great understanding of it!
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!!!
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.
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 !
The fireworks analogy was very useful actually. Especially starting from the discrete case and building up to the continuous case was way More understandable than going full in with continuous at the start. Thank you, convolutions are starting to hace intuitive meaning for me. Great work!
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 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.