Amazingly explained. Electrical Engineer here who of course had to go through that, but still - Signal Processing amazes me any day. I shifted into Software Engineering, but Signal and Systems was the best subject in the entire degree❤
I'm so glad it was helpful! Hopefully you've found my webpage that lists all the videos in categorised order 0 including Fourier and other topics: iaincollings.com
As I said, I don't use the word "flip" - it confuses too many people. Just evaluate the integral. If the integral had a "+tau" instead of "-tau" then it would be a different integral, and it wouldn't be convolution. For people who want intuition, here are two videos: "How to Understand Convolution" ruclips.net/video/x3Fdd6V_Hok/видео.html and "What is Convolution? And Two Examples where it arises" ruclips.net/video/X2cJ8vAc0MU/видео.html
@vsw1131 "Inverting" and "translating" is just another way of saying "flipping" and "shifting". It's true that some people find it easier to think of it that way, but in my experience a majority of students don't. In my experience most people find it easier to simply/directly "find the function" that's in the integral (rather than thinking about it as being a flipped and shifted version of the original function - even though that is what it is).
This might seem like a dumb question, but I was watching the video around 4:42, and I realized: why, when we write 𝑡−𝑇, do we shift to the right on the 𝑇-axis, whereas with 𝑡−1, we shift to the left?
That's exactly the reason why I don't use the words "shift" or "flip" anywhere in my video (after the Intro, where I say that I won't be using those words). They just lead to confusion. Exactly the confusion you've experienced in your question. Do you shift then flip? or flip then shift? ... it makes my brain hurt to think about it. You can try if you like. But I'm just going to stick to my tried-and-true technique, as I explain in the video - it always works.
Amazingly explained.
Electrical Engineer here who of course had to go through that, but still - Signal Processing amazes me any day.
I shifted into Software Engineering, but Signal and Systems was the best subject in the entire degree❤
Glad you enjoyed it!
Great video! For the longest time I really had no idea what a convolution was in class and this really helped visualize it! Now onto Fourier Series!
I'm so glad it was helpful! Hopefully you've found my webpage that lists all the videos in categorised order 0 including Fourier and other topics: iaincollings.com
watching this just 20mins before exam lets see if this helps. I think it will surely help.
It's never too late. Good luck with your exam!
@@iain_explains thanks! no question came from this topic.
it was so useful!! thank you
Glad it was helpful!
Good explaination
Just noticed something but maybe I'm wrong, wouldn't you get the same answer if it were V(t+tau) and then you wouldn't have the confusing flip?
As I said, I don't use the word "flip" - it confuses too many people. Just evaluate the integral. If the integral had a "+tau" instead of "-tau" then it would be a different integral, and it wouldn't be convolution. For people who want intuition, here are two videos: "How to Understand Convolution" ruclips.net/video/x3Fdd6V_Hok/видео.html and "What is Convolution? And Two Examples where it arises" ruclips.net/video/X2cJ8vAc0MU/видео.html
@@iain_explains Indeed, it would be easier to invert the signal along the y-axis, then translate it and then multiply and calculate the integral.
@vsw1131 "Inverting" and "translating" is just another way of saying "flipping" and "shifting". It's true that some people find it easier to think of it that way, but in my experience a majority of students don't. In my experience most people find it easier to simply/directly "find the function" that's in the integral (rather than thinking about it as being a flipped and shifted version of the original function - even though that is what it is).
This might seem like a dumb question, but I was watching the video around 4:42, and I realized: why, when we write 𝑡−𝑇, do we shift to the right on the 𝑇-axis, whereas with 𝑡−1, we shift to the left?
That's exactly the reason why I don't use the words "shift" or "flip" anywhere in my video (after the Intro, where I say that I won't be using those words). They just lead to confusion. Exactly the confusion you've experienced in your question.
Do you shift then flip? or flip then shift? ... it makes my brain hurt to think about it. You can try if you like. But I'm just going to stick to my tried-and-true technique, as I explain in the video - it always works.
@@iain_explains Got it! Thanks a lot for your response, sir!
To which branch of mathematics does the subject "signal and system" belong to, Is it calculus, linear algebra, or probability ?
It’s an engineering specifically signals and systems
it's an engineering speciallity, but it uses a lot of analysis and some algebra too !!!
ECE and EE branch
its Harmonic Analysis
... followers are asking about graph-ruled (quadrille-ruled) notebooks
Still didn't understand. Way too hard!
Have you watched my other videos on Convolution? They may help. You can find them listed here: iaincollings.com
Gotta practice, I’ve watched this video like 10 times while doing examples