Convolution and Unit Impulse Response

[@EugeneKhutoryansky]

To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.

[@bibibiti1098]

Great job 👏🏻 keep going You are the best ❤️❤️

[@johnopalko5223]

And thus we have the very foundation of digital signal processing.

[@nzuckman]

This metal track slaps so hard

[@charllsquarra1677]

it was a nice transition after Chopin

[@adoniz99]

Sound like dream theater to me, do you know the name of the song ?

[@shaunsmith8184]

@@charllsquarra1677 Beethoven 😅 This channel and this video is spectacular

[@pepe6666]

yeah the guitar tone is real juicy.

[@wodddj]

@@adoniz99 we finally know which group of people listen to dream theater

[@aneupan]

You have mastered the art of using animations to explain concepts. I wanted to let you know whatever you are doing is helping students like us big time. I hope you will make more videos in the future. Stay safe out there.

[@EugeneKhutoryansky]

Thanks and I an glad that my videos are helpful.

[@SAJAN_ECE]

I was waiting for this topic from your channel for past 2 years. Amazing Videos as always. I will always suggest my students to watch your videos. You are giving life to the unimaginable stuffs. You are awesome. You will be always remembered by all Engineering Students. Waiting for z Transform, Stability of System etc.

[@EugeneKhutoryansky]

Thanks for the compliment. I already have a video on stability at kzbin.info/www/bejne/pmrUo3uahaqYaJo

[@772storminorman]

Beautiful. I needed this video last semester. Make more of these.

[@EugeneKhutoryansky]

Thanks for the compliment. More videos are on their way.

[@mohamedel-shafey1912]

don't you know how to say please how rude

[@physiqueDrummond]

also, you can contribute to www.patreon.com/EugeneK/posts ... I do

[@soccerbels7947]

Give me ur ak i will shout you moron

[@itach1freak]

Eugene. When I was taking my signals and systems class I had the hardest time understanding convolution and I remember searching your uploads hoping you had a video. It’s been some time since that happened but I’m so glad you made this. Although now I’m graduated and a professional who uses this, I’m still amazed at what there is to learn from your videos. Thank you so much for taking the time to make these.

[@EugeneKhutoryansky]

Thanks. I am glad that you like my videos.

[@EugeneKhutoryansky]

You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: kzbin.info_video?v=acAw5WGtzuk&ref=share You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit buttons for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.

[@adrien5568]

Then I will start to translate into French. Thx for the script, it's much harder without it. Edit : easier than I tought.

[@sec_g_69shreyashsrivastava72]

Sir i love you

[@EugeneKhutoryansky]

Adrien, thanks. I have approved your French subtitles for this video on Convolution. I very much appreciate it. By the way, three weeks ago, someone submitted French subtitles for the video "Boost Converts and Buck Converters" which I was not able to approve because of a mistake I noticed in the very first sentence. The submission had the word "decrease" instead of "increase." Anyone who speaks French can review, edit, and resubmit their translation. If you are interested, the link for adding / reviewing translations for the "Boost Converts and Buck Converters" video is at kzbin.info_video?v=vwJYIorz_Aw&ref=share Thanks.

[@oscarleonrodriguez2005]

Any heroes who translate it into Spanish? My English isn't very good :/ P.D. awesome video

[@ZinuBatul]

@@EugeneKhutoryansky Thank you sir. I see how much you try to help human being out there the tears on my eyes now. I don't believe in God but if you do? God bless you.

[@4.0.4]

1) Für Elise 2) Rock n' Roll 3) More Für Elise

[@shayanmoosavi9139]

2) heavy metal* Rock and roll would be led zeppelin.

[@dhk1126]

We've been waiting for you for quite a long time!!!! Good to see you again!!

[@MN-sc9qs]

He's back! These videos are gems. I showed them to my students for demos on electricity.

[@ubaldogonzalez4252]

This is one of the most, if not, by far the most amazing Physics channel on KZbin. I am planning in double majoring and receive a B.S. in Mechanical Engineering and Chemical Physics.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@seandafny]

U planning to WHAT !?

[@tymofei8586]

Every time watching your videos i have that awesome enlightment moment. As a mechanical engineer who pursue into mastering control theory and systems,sometimes i find its math difficult to grasp intuitively but you make it so easy keep uploading man you best

[@EugeneKhutoryansky]

Thanks for the compliments. I am glad that my videos are helpful.

[@viahttp]

Amazing graphical explaination.. lot many students ppl dont undertsand in a class room.. this video clear all doubts..very detail.. Please add more like these videos on signals nd systems..

[@EugeneKhutoryansky]

Thanks for the compliment about my video. More videos on all topics are on their way.

[@XxfishpastexX]

It’s funny how much better students learn when you use computer graphics to teach them. I don’t know how people learned math and math. science before KZbin!

[@2livenoob]

I don't know what is crazier, that someone was able to graphically and simply explain convolution without "flipping" the function, or that this is literally the simplest anyone will ever come to explaining convolution.

[@seandafny]

Honestly im kinda hating on Eugene rn cause in all the ways i visualized convolution not once did i put it in this 3 dimensional form like he did. My way works too tho.

[@zizo-ve8ib]

You're right this video IS the simplest mathematical explanation for this topic EVER (at least on YT) Still a difficult topic to digest though😅 Nevertheless I think it's magnificent

[@briefcasemanx]

The basic idea of convolution isn't too hard. It's just made harder because engineers and mathematicians are generally kind of bad at explaining things.

[@marinamaher8211]

Taking convolution for years, this is the first time to understand what it is all about, Thnx

[@EugeneKhutoryansky]

I am glad my video was helpful. Thanks.

[@hibby2264]

This is the most educational channel on youtube. Hands down.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@solewalk]

Extremely good explanation of convolution. Yours is a precious gem.

[@EugeneKhutoryansky]

Glad you liked my explanation. Thanks.

[@priyanshukumawat4142]

I had never found such an great intuition of convolution before .... greetings and regard from INDIA!!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@leosmi1]

Please do some videos for control systems like, open-loop, closed-loop, feedback...etc...thank you

[@EugeneKhutoryansky]

I may do more in depth videos on control systems and feedback, but I already have a few videos that talk about it. For example, feedback is discussed in my video on Op Amps, and I already have a video on State Space Stability Analysis.

[@seandafny]

Eugene said no bro

[@justforwork4310]

Been in grad school 6 years and this is by far the best this has ever been explained

[@EugeneKhutoryansky]

Thanks for the compliment about my explanation.

[@davidbabic6121]

I rarely leave a comment, I’m a Engineering student from Australia studying in Germany. I appreciate these and the people who took the time to explain this so well ❤️

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@JohnDoe-fg9ng]

Learned this stuff in school, had no idea how any of it worked, I just followed the patterns in the math. This video actually allowed me to understand what the hell I was even doing!

[@EugeneKhutoryansky]

Thanks. Glad my video was helpful.

[@alanchuangi]

about 5:53, the result is not failed, but most people know as the action of the input form the video that the unit impulse delta(t-tau) (running sum) effect the output, so I think based on the additivity and homegeneity , the out result may better change to [y(t) = integral(0, t) input_function(tau).unit impulse_response( t - tau).d tau], in other words, Height = input_function(tau).unit impulse_response(t - tau), I want to iterate that because of the commutativity is one of the properties of convolution, the result "input_function(t -tau).unit impulse_response(tau) catching from the video is also right.

[@preethilakshminarasimhan7094]

I was confused by the same thing, wondering how no one pointed it out! Thought I'm the only one who is still confused even after such great visualisation.

[@NicheNi]

I am soo sooo happy that u starts uploading videos 🙏

[@area51xi]

Epic. The first CLEAR unambiguous explanation of the difference between t and tau.

[@EugeneKhutoryansky]

Thanks.

[@chologonzalo999]

Hi Eugene, can you explain why the total output is the sum of the area of red rectangles and not the sum of the height of each rectangle? I mean, the output at certain time is the sum of each individual unit impulse response at that time isn't it?

[@EugeneKhutoryansky]

We have to account that these are not real unit impulse functions in that they do not have infinite height. Therefore, we have to multiply each unit impulse response function by a very small number (d tau) to compensate for this.

[@misugijun]

Thank you so much for this video. I had never understood convolution, just used it without comprehension. Now i think I know the basic principle behind it. Thanks again, I love your videos and so much appreciate the effort put on making them as explanatory as possible with the aid of graphical illustrations.

[@EugeneKhutoryansky]

Thanks for the compliment about my videos.

[@samuelbarham8483]

Ohhh this is just presented so well. Finally, a graphical intuition for the convolution integral (or sum in discrete time) that is derived from the more general superposition sum (add up the unit impulse responses -- like a bell rung at each time step), rather than from what I've always thought is a counter-intuitive reading of the formula: fold, shift, element-wise multiply, sum.

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@mikkliish]

Absolutely the best video on convolutions on the internet

[@EugeneKhutoryansky]

Thanks for the compliment about my video.

[@mezzoedbey3802]

this is without a doubt one of the best STEM youtube channels ever. Please don't stop and keep up the good work 😉

[@EugeneKhutoryansky]

Thanks for the compliment. More videos are on their way.

[@AutoFirePad]

Half a semester in 10 minutes. Thank you again Mr. Khutoryansky!

[@EugeneKhutoryansky]

I am glad you liked my video. Thanks.

[@DaveThaBossDTB]

Fantastic video. Helps us actually visualize the formula. For what it's worth, I am not in college or studying this for my degree, I just have an innate fascination with convolution and digital signal processing. This was throughly explained. Thank you!

[@EugeneKhutoryansky]

Glad you liked my video. Thanks.

[@russellguo7572]

Thank you so muchhhhhhh, this is the first time I really understand why the order of terms are opposite in convolution dot product!!!!

[@EugeneKhutoryansky]

I am glad my video was helpful.

[@TheJaniable]

me on exam after watching this: ** You fool! I have been trained in your Jedi arts by Eugene Khutoryansky **

[@TheMuhammedtaha1]

this video made me understand this, it made me relax and it made me sleepy.. thank you and goodnight

[@elijahsmith7552]

Great video. This makes a lot more sense to me than than "flip and slide" explanation which changes with t instead of tau (the actual variable). Thank you for effort.

[@EugeneKhutoryansky]

Thanks.

[@lakshmanannatarajan9831]

Really got awestruck by the clear explanantion...This helped me a lot!!! Thanks a lot

[@EugeneKhutoryansky]

Thanks. I am glad that my explanation helped.

[@apophenic_]

This is one of my favorite videos of all time.

[@EugeneKhutoryansky]

I am glad you liked my video.

[@faisonsensemble3379]

thank you very much, that's what I'm looking for ,for a long time. it's genuinely done. ALL MY SUPPORT

[@proxypeople730]

ثاني عربي هنا

[@RahulSharma-oc2qd]

I am unable to comprehend why we went in 3rd dimension for tau? please help me in understanding the crux of it.

[@jimmea6317]

idk why but this video completely overcomplicates it, convolution is better understood by flipping the kernel over the y axis and expressing the point-wise product of the areas overlapped as a function of the shifted position of the kernel; this only works for linear time invariant systems though

[@alanly-lm1ye]

Very good video. The animations help decipher a challenging topic!

[@EugeneKhutoryansky]

Thanks!

[@pepe6666]

this is a great video. i started off understanding impulse responses from discrete impulse responses where each unit is one sample. i now know where my knowledge sat within a wider context. and understanding right where the laplace tranform sits and that its to do with le frequencies is awesome. thank you sir.

[@lybable]

I can't believe I missed this awesome video before!!!

[@lijia2595]

This is brilliant, so well explained, you just saved my life sir

[@EugeneKhutoryansky]

Thanks for the compliment and I am glad my video was helpful.

[@ChurchOfThought]

Very good explanation! The visuals make it so much easier to understand how unit impulse works for solving linear systems. Maybe you can do a video on linear differential equations and Green functions since the technique is very similar. Cheers

[@MrDarkabdo]

these videos deserve all my semester money

[@EugeneKhutoryansky]

Thanks for the compliment.

[@pushpendubiswas3439]

Finally! A video on convolution that I understand.

[@BoZhaoengineering]

This video made impulse response very clear. I needed it when I learnt this idea in signal processing. it is spectacular.

[@EugeneKhutoryansky]

Thanks.

[@jaikumar848]

I loved this video. ..great work

[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you liked my video.

[@Gamma3]

This is one of the better things in internet

[@harshchikorde9495]

Sir your work is really exellent. I get a excellent visual understanding through your videos . I have got many concepts cleared. Keeping myself away by demanding more content from you(I know its a lot of work). I would love to see your videos on control systems(Root locus, Nyquist criterion, Bode plot)

[@EugeneKhutoryansky]

Thanks for the compliments. I may do videos on those topics in the future.

[@seandafny]

Lol naw if he do videos on any of them topics ima be PISSED ! Lol yall go have to struggle like i did no help from Eugene for Nyquist theorems and all that nope.

[@keepitsimple7720]

Simply awesome as always

[@EugeneKhutoryansky]

Thanks for the compliment.

[@masaamri1172]

Dear Eugene all of your science works are always great... thank you so much.. we're love you

[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you like my videos.

[@mnada72]

As usual, genius and again another black hole turned to be bright star 👏

[@EugeneKhutoryansky]

Thanks for the compliment.

[@DELee-qo6kv]

Incredibly well animated Visualization

[@EugeneKhutoryansky]

Thanks for the compliment.

[@hectorp5591]

Only someone who really masters the subject can explain it so well

[@EugeneKhutoryansky]

Thanks for the compliment.

[@shirinmadarshahian7117]

your explanation was like listening to a poem, thank you

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@masonmault979]

this is the best video i have ever seen

[@EugeneKhutoryansky]

I am glad you liked my video. Thanks for the compliment.

[@vladislavkrastev1746]

I've said it before, I'm saying it again - the best sh*t on KZbin is on this channel. Period. Still no idea how people in the past studied without the access to things like that......

[@EugeneKhutoryansky]

Thanks for the compliment.

[@thomaslee3565]

The dank metal track outta nowhere. Sounds like BTBAM.

[@alexg91024]

AYYYY

[@b_40_princekumargupta51]

Another Master piece 😍😍😍

[@EugeneKhutoryansky]

Thanks !

[@chinthakaravinatha5230]

Thanks for the clever and crystal clear explanation! I was having difficulties to digest this concept.

[@EugeneKhutoryansky]

Thanks for the compliment. Glad my video was helpful.

[@jarkre]

Hands down the best convolution tutorial I have seen. After watching this you feel like Keanu Reeves in Matrix saying "I know kung fu".

[@EugeneKhutoryansky]

Thanks for the compliment about my video.

[@suhailkumar792]

Always waiting for ur video is like waiting for new moon.......love ur work😊

[@trungdau2109]

one of the best vid of convolution explanation !!

[@EugeneKhutoryansky]

Thanks for the compliment.

[@opaaaaaaaaaaa]

How can you be beyond genius 👏👏👏👏 Thank you so much It was beautiful😢

[@EugeneKhutoryansky]

Thanks for the compliment. Glad you liked my video.

[@opaaaaaaaaaaa]

@@EugeneKhutoryansky Before seeing your awesome video I never actually understood what was going on when we actually meant convolution. I just memorized the formula and solved all solutions related to that. Now I actually understood what it all meant. So from the bottom of my heart with utmost sincerity I thank you. Thanks you🙏, God bless you. You really made my day. I hope you have a good day as well my great teacher!

[@EugeneKhutoryansky]

Glad my video was helpful. Thanks.

[@opaaaaaaaaaaa]

@@EugeneKhutoryansky It will be helping many many generations of students.. All of them will be grateful to you just like me. The work you did is a master piece.

[@EugeneKhutoryansky]

Thanks.

[@noimnotyourex]

this is fantastic. Amusing. Amazing. I'm at a loss for words.

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video that much.

[@Mohammadoudat]

Gold, Thank you so much for making it easier to understand such concept. I have already send this to my students.

[@EugeneKhutoryansky]

Thanks. I hope your students like my video.

[@japanlovescali]

Amazing. Don't know why i pay for college where no one matches this level of explanation btw, can you elaborate the part where you said "The total output at this moment in time is the sum of the areas of all the red rectangles" - why thanks and plz don't stop making such great content

[@ayushkumar1539]

because impulse input is at instant but output can vary according to system so lets say you apply an impulse input at 2 and 5 sec and the linear system is decaying function with time constant 10 sec... at t =0 both input and output will be 0, at t =2 input = impulse, output = decaying function starts at t= 3 input =0, output = decaying function with less amplitude at t=5 input = impulse, output = output due to impulse + decayed output given by 2 sec impulse, hence sum of both area

[@virgenalosveinte5915]

Absolutely crazy, beautiful, amazing video. Thank you very much!

[@EugeneKhutoryansky]

Thanks for the compliment about my video. I am glad you liked it.

[@Summer_Xia]

It's a huge loss to have found these videos so late

[@seandafny]

I needed this about 2 years ago Eugene -_- u always do this

[@seandafny]

Still rock wit u heavy tho. No love lost.

[@ravindrasahu8243]

Awesome Explanation! Splendid. Love from India.

[@EugeneKhutoryansky]

Thanks.

[@RonLWilson]

Wow, I sure wish I had this video when way back in the day I was learning this in school!

[@framesofphysics]

Very good, basic concept behind DSP

[@vahidy2002]

What a coincidence I am studying total response of impulse function right now and I got this video 😮😮😮

[@xmanxmansyr3147]

it's inevitable.

[@arjunkrishna5790]

Really helped be understand convolution, thank you!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@vikramnagarjuna3549]

We have been waiting for your videos...... And one more thing, please Organize videos in our(your) channel topic wise.. Some videos are present in many playlists

[@guitarman513]

Best video I’ve seen on the topic

[@EugeneKhutoryansky]

Thanks for the compliment.

[@orion33]

Не знаю, как на английском, но в русском языке описываемая на 1:57 называется импульсной или дельта функцией. Единичной называется ступенька у(t)=0 при t=t0.

[@EugeneKhutoryansky]

The Russian translation has now been updated as you suggested. Thanks.

[@meenakshi_here]

Very nicely explained. Found it at the right time. Thanks

[@EugeneKhutoryansky]

Thanks.

[@nitinshyam8567]

Probably tau axis is reversed, but this helped a lot in understanding convolution, thanks.

[@kofinkrumah6499]

Amazing animation

[@EugeneKhutoryansky]

Thanks for the compliment about my animation.

[@MitzvosGolem1]

Square wave frequency drive systems have these types of issues in hydraulics. Many heavy equipment machines use this . There is often a lag of output beginning and ending.

[@industrialdonut7681]

this actually made a lot of sense this time. I've certainly tried to understand before but I really followed what was going on woo!

[@EugeneKhutoryansky]

I am glad my video was helpful. Thanks.

[@ale14zoppi]

The music changes are wild lol

[@vinilsimoes]

Awesome art!! Keep on doing these videos!!

[@MusicGameFinatic999]

Fucking beautiful. Thank you so much. I may actually pass my first signals and systems exam thanks to this video.

[@chiahungmou8010]

Thanks! Suddenly I understand the output is nothing but the summation of current and several previous impulse responses as well as that's what the convo equation wants to present for us.

[@EugeneKhutoryansky]

Glad my video was helpful. Thanks.

[@miguelvega1830]

Amazing! What a great explanation. Love it.

[@EugeneKhutoryansky]

Thanks. I am glad you like my explanation.

[@PowerandControlUFU]

Great video.

[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you liked it.

[@ambientsoda106]

absolutely love your videos do you make the graphics as well? As I think these graphics transform a physic class or electronics class into somethign that is easily understood...

[@EugeneKhutoryansky]

Thanks for the compliment. Yes, I make all the animations for my videos myself. Thanks.

[@PeekPost]

Unbelievable, somebody would do this. Amazing explanation! More videos for controls please.

[@EugeneKhutoryansky]

Glad you liked my video. More are on the way. By the way, I have a video on State Space Stability Analysis at kzbin.info/www/bejne/pmrUo3uahaqYaJo

[@themastermind7009]

Excellent.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@mamoal337]

Thanks for excellent explanation

[@EugeneKhutoryansky]

Glad you liked my explanation. Thanks.

[@andrewfinocchio9411]

... where the heck were you?!? THIS WAS THE BANE OF MY EXISTENCE

[@seandafny]

Lol

[@AJ-et3vf]

Nice! Very nicely explains things intuitively and visually. I've encountered the convolution integral while reading textbooks, but I haven't gotten around to understanding it or having an idea what it means :)

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@blaiseenrichobart4085]

Excellent explanation. Thank you so much.

[@EugeneKhutoryansky]

Thanks for the compliment about my explanation. I am glad you liked it.

[@ListenToMcMuck]

(8)👍👍👍 Complexity broken down into bits wich are easy to swallow... repeatedly simplified in the most genius way & visualized to become internalized... & the background musik also does a great job as an emotional guide. THANKS 4 SHARING!!!,~ˋ{muck(8)}~

[@EugeneKhutoryansky]

Thanks. Glad you liked my videos.

[@hassanali-kr9sn]

This was absolutely fantastic! Thank you very much for this amazing explanation! I have subscribed to your channel now :) Keep up the good work!

[@EugeneKhutoryansky]

Thanks for the compliment and I am glad to have you as a subscriber.