How to do a Convolution of a Square with an Exponential

[@isaac1998]

I've been scouring youtube for a while but finally this video has cleared up my confusion, thank you!

[@iain_explains]

Glad it helped!

[@synapticmemoryseepage4447]

Iain's workthrough of this standard convolution problem makes the general approach to convolution calculations understandable.🙏

[@iain_explains]

I'm so glad you liked the video and found it helpful.

[@oguzbey4214]

Yours is the best solution I've found on youtube. You saved my life, thanks a lot...

[@iain_explains]

I'm glad it helped. I've made a more recent video that you might also like: "Convolution in 5 Easy Steps" kzbin.info/www/bejne/l37EqGd7qtKqr6c

[@anirudh_govil]

Thank you so much for doing this. Learning this in college right now and these videos are pure gold. Minor typo at 7:00 where 3^9 should be e^9.

[@iain_explains]

Thanks, yes, I noticed it straight after I posted the video. It's annoying - the mouth says one thing, and the fingers write something else. I should have added a comment about it in the description under the video. I've done that now. Thanks again.

[@roayabacha2160]

@@iain_explains

[@seifr23]

I keep coming back to this video, really good explanation!

[@iain_explains]

I'm so glad to hear that. It's always been my aim that these videos are a resource that someone might watch a number of times, to really get to the bottom of things. I aim to explain things in a way that makes sense at a high level, but also provides the details for someone who's a bit more advanced and wants to understand all the subtleties.

[@roseouedraogo8931]

Thank you for making my intro signal processing class easy for me.

[@iain_explains]

I'm so glad it was helpful!

[@joshedt521]

Hey Iain, really love your work. You are a boon to society and I hope that you continue to do this series!

[@iain_explains]

Thanks. I'm glad you've found the videos helpful.

[@michaelprobst1835]

Thank you so much! I couldn't find anyone else who explained this

[@iain_explains]

Glad it helped! Check out iaincollings.com for a categorised list of other related videos and pdf worksheets.

[@ritesha8050]

Thank you, you always make things easy to understand

[@iain_explains]

Glad to hear that!

[@margaritasdias]

Thank you Sir it’s really quick, memorable and i understand a lot.

[@iain_explains]

Glad you found it useful.

[@halar5015]

Thank you

[@mrguy7582]

thanks man im in western australia and i wish I could have you as my lecturer. anyway this was great help for my upcoming signals test :)

[@iain_explains]

Glad it helped! Good luck in your test.

[@justalightworker]

Thank you so much for your work.Your videos really saved my life❤❤❤

[@iain_explains]

You're welcome 😊 I'm so glad to hear that the videos have been helpful.

[@stlo0309]

Thanks a lot! I was trying to brute force my way out of the integral by only inequalities and calc, without actually seeing/plotting anything. But it turns out plotting and shifting h(t) is really simple and helpful, as shown by you. Once again thanks a lot!

[@iain_explains]

Glad you found it helpful. I always try to plot, or at least visualise, any equation I'm dealing with. It really helps - especially for practical engineering applications. But not just that - the best theoretical mathematicians think spatially too.

[@theengineer9910]

Thank you !

[@chensror4251]

Great video, made the topic such more clear to me!

[@iain_explains]

Glad it helped! If you haven't already, you might like to check out my webpage which gives links to lots more related videos: iaincollings.com

[@luisenite3947]

sir, please make a video on convolution between sine function and rect function

[@gabrielaponte8243]

great teacher! you're a lifesaver

[@iain_explains]

Glad the video was helpful.

[@davidelias8569]

Thanks Iain. Explained very well!

[@monicalaiolti.santos]

Thank you so much, Iain! You’re making clear convolutions to me. What would be the procedure to resolve this with the convolution theorem? I mean, I tried it but would we be able to obtain one result to different intervals of t? I'm very confused about it. Thank you.

[@iain_explains]

Sorry, I'm not sure what you're asking. Have you watched my other videos: "Convolution in 5 Easy Steps" kzbin.info/www/bejne/l37EqGd7qtKqr6c and "What is Convolution? And Two Examples where it arises" kzbin.info/www/bejne/jmPGe2usdshjg7c

[@آيةعادل-ن9و]

Thank you so so much that was really helpful!

[@iain_explains]

Glad it was helpful! You might like to check out the other videos on the channel too.

[@seenathgooding181]

Thank you for the video. It helped alot.

[@ganeshchandrameesala257]

thankyou sir this video helped m with half of my today's homework

[@บรู้วว]

Thank you so much sir.

[@iain_explains]

You're welcome.

[@hugeturnip3520]

Thank you so so so so so so so so so so much. invaluable

[@iain_explains]

I'm so glad you found the video helpful.

[@elaf7092]

Thank so much sir.

[@iain_explains]

Most welcome

[@charchiljain8050]

keep uploading u r really gud sir

[@hariharaprasad6305]

Neat explaination ... Thank you

[@iain_explains]

Glad you liked it

[@PoTheBig]

Thanks you, your work is valuable to me!

[@iain_explains]

Glad I could help!

[@MusaYmc]

Neat explanation as ever, ty!

[@iain_explains]

Glad it was helpful!

[@adarshraj4350]

Thanks sir so helpful for me.nice effort

[@iain_explains]

Most welcome

[@ferus5583]

Hey, thanks for the video, do you know about the convolution of sine and unit step?

[@tiny_penguin]

well explained. thanks.

[@iain_explains]

Glad it was helpful!

[@syukrimusa]

thx

[@dox9]

Thankyou

[@iain_explains]

You're welcome.

[@inesh4402]

Thank you so much!

[@iain_explains]

Glad you found it useful.

[@luisafernandamartinezmench823]

This is so well explained! can you do one of convolution with a fixed signal made by e(t) and e(2-t) with a moving signal of e(-t)?, i just cant figure out how to do it

[@iain_explains]

I'm glad you found the video helpful. Yes, I can make more on this topic, but I need you to be a bit more explicit. Which actual functions do you want to convolve?

[@luisafernandamartinezmench823]

t@@iain_explains ok ill try to explain as good as i can because i cant figure out how to send you the picture, x(t)is the fixed function and its exp(t) from 0 to 1 and exp(2-t) from 1 to 2 and 0 otherwise v(t) is the moving function and it is exp(-t) from 0 to 4 and 0 othwerwise i hope i explained myself!

[@iain_explains]

OK, that example is a little too long for a video, but I've just uploaded a simplified example along the same lines, which should help you. It's the convolution of two exponentials: kzbin.info/www/bejne/apCvc2asiayLd9U

[@luisafernandamartinezmench823]

@@iain_explains THANK YOU VERY MUCH!

[@ZeroZero-g5r]

Can I ask why the x(t) can be ignored?

[@iain_explains]

Sorry, I'm not sure what you're asking. The function x(t) is not "ignored". Perhaps this video will help: "Convolution Equation Explained" kzbin.info/www/bejne/iJ7IgXqBjLSGg7M

[@jacobvandijk6525]

The pronunciation of "tau" is like the pronunciation of "tow" in the word "towel". No, this won't help you much further with convolution :-) But I always say, a good example is better than a thousand words!

[@iain_explains]

kzbin.info/www/bejne/goCsfY2VeZiUiMk

[@jacobvandijk6525]

@@iain_explains Hahaha, love it!!!

[@hfy1987]

hi but may i ask why is u(t-T) = 1?

[@iain_explains]

u(.) is the common notation for the step function (ie. u(t) equals 0 for t=0 ). Therefore u(t-T) equals 1 for t>=T .

[@adeddy8138]

7:22 it should be e^9

[@iain_explains]

Thanks, yes, I've already got a note about that in the details below the video.

[@adeddy8138]

@@iain_explains yeah now I noticed I should have checked the comments before warning you😅 btw can you post videos on how integration and differentiation formulas are derived if I am not wrong they are derived from limits. You know like delta(x) tends to zero dy/dx or vice versa but I need a clear idea

[@iain_explains]

Thanks for the topic suggestion. I'll give it some thought.

[@MrPabloguida]

It is a shame that you have such good videos but with a horrible audio.

[@iain_explains]

Sorry. I made that video back in 2018, before I bought a microphone. Hopefully you'll find my more recent videos have better audio. Anyway, it's the content that counts most, not the audio (I do want my videos to be enjoyable to watch, but I'm not trying to make entertainment).

[@kaursingh637]

SIR -PLEASE SPEAK LOUD - I CAN NOT HEAR U

[@arunpandian294]

Do we really need a piece-wise definition for the convoluted output y(t)? Like, if we take the general definition for convolution formula (from -infty to t), and did a mathematical calculation, I got the one defined for t>5. But when I tried putting in t=4, it didn't match with the one defined for 3

[@iain_explains]

Here are two other examples of doing a convolution calculation - both using the same procedure I always use. Hopefully they will help: "Convolution of Square with Rectangle" kzbin.info/www/bejne/rofFgIGvjqqcprc and "Convolution of two Exponentials" kzbin.info/www/bejne/apCvc2asiayLd9U