Convolution Example-Two Rectangular Pulses (Edited)

Рет қаралды 208,308

12 жыл бұрын

An example of computing the continuous-time convolution of two rectangular pulses.
This video was created to support EGR 433:Transforms & Systems Modeling at Arizona State University. Links to other videos can be found at www.engineeringvideos.org and sites.google.com/a/asu.edu/sig...
This video is made available under the Creative Commons BY-SA license.

Пікірлер: 89

@712Rm 10 жыл бұрын

honestly, you're a life saver! You're tutorials are amazing; very well organized and very explanatory!

@DK794 7 жыл бұрын

it's 12 am here and I've got an exam in a few hours. After struggling for hours to find an intuitive explanation for convolution, I came across your video, and believe me, I can't thank you enough.

@BenTul94 4 жыл бұрын

One of the best explanations for convolution! after a whole course of Fourier Analysis in Uni I have a lot of basic holes in my understanding, and you have helped me a ton!

@747-pilot 10 жыл бұрын

Wow! What an amazing and detailed explanation that was! I'm taking a Signals and Systems course at Berkeley and had a very hard time with this flip and shift method (both fDT and CT). Your super-detailed explanation was the only one that was able to make me understand this with CRYSTAL clarity. Thank you very much!

@lifeisbeautiful4644 10 жыл бұрын

I don't know how to thank you, you are just great! You literally made me understand this. Thank you professor.

@vasiq44 10 жыл бұрын

This is no doubt a very good explanation of the convolution using the graphical method. Two thumbs up! However, it would be slightly more helpful if you had chosen different pulse values, say 2 for x(t) and 3 for h(t).

@estefaniac8260 5 жыл бұрын

Thank you soooo much! Your video and explanation were incredibly helpful. I love how you use graphics and bright colors, I really understood this concept thanks to you.

@CiellyCardoso 10 жыл бұрын

Thank you, it really helped me!! Keep up with the good work! Greetings from Brazil.

@sdw4527 9 жыл бұрын

Thank you so much for these videos. I completely understand this convolution concept and aced my exam thanks to you :)

@mahakhan9762 4 жыл бұрын

you're right, this example does show up everywhere. thank you!!

@clarissebonacina9240 3 жыл бұрын

I have an exam tomorrow and I want to express my gratitude. Thank you.

@smiley5867 10 жыл бұрын

very clear and precise! great teaching!

@alfredlefosa3867 9 жыл бұрын

Thanks Darryl. Finally convolution makes sense

@timothythompkins8653 9 жыл бұрын

Does it matter then where our two rectangular functions lie (i.e. their shift)? It looks to me that if the initial function h(t) was shifted to either the left or right by 5 places, because I'm integrating from -inf to +inf that you'd end up with the same graph regardless. Is this correct? Thanks.

@RobSummers993 6 жыл бұрын

I FINALLY understand convolution. THANK YOU!

@nondumisongcobo2867 8 жыл бұрын

Thanks a lot @Darryl_Morrell. Convolution makes so much sense now.

@lilhorsechoka 9 жыл бұрын

My professor has a heavy accent so this definitely cleared things up for me. Thank you very much.

@Deepakkumar-tq1xv 6 жыл бұрын

Really great and intuitive video 👍

@libervolucion 5 жыл бұрын

No words, just.. Thank You.

@Paleoint 11 жыл бұрын

Nice job! Keep 'em coming. Thanks!

@badgalirri 2 жыл бұрын

Excellent explanation, thank you so much!

@frederikvanballaer3890 7 жыл бұрын

Thank you for the amazing video!

@vsprasannaa 11 жыл бұрын

He already did! The plateau depends on the widths of the functions in question, if they have the same width, we get a triangular waveform.

@MrHackerXx 9 жыл бұрын

Thank you bud. That was a very good explanation!:)

@CoryEngdahl 9 жыл бұрын

You rock man, great video!

@andrewskyworker 8 жыл бұрын

really good explanation. thank you for your video

@sHrG78 11 жыл бұрын

Very clear explanation, thank you.

@andrewdenterlein6447 10 жыл бұрын

Great video! Thanks for posting.

@InspiredStrangers 8 жыл бұрын

Thanks so much for this man!

@samirandgina 7 жыл бұрын

Amazing explanation thank you!

@mnada72 8 жыл бұрын

Thank you for the great explanation

@TigasFMS 8 жыл бұрын

Very clear. Thank you so much!

@simonstanev2923 11 жыл бұрын

When videos are slow you don't miss anything. If I haven't watched the previous videos, I wouldn''t be able to understand it.

@alanvillaverde4805 10 жыл бұрын

great explanation. very easy to understand. Gracias!!!

@saim514 10 жыл бұрын

Thank you so much man You cleared my all doubts. Keep it up man. High Five for you. :)

@azharhussain767 10 жыл бұрын

A high level matter

@nikeshparajuli6345 3 жыл бұрын

Thanks a lot , this is really helpful.

@GiI11 8 жыл бұрын

Thank you so much, dude! Now it's clear to me that convolutions are an algorithm. It makes no sense to think what the integral evaluates to before doing the 'mirror and run through the interval' bit :)

@dallasdominguez2224 4 жыл бұрын

Same, I had no idea what the point of convolution was and now Im starting to see that it is an "operation" of sorts that is specific to signals.

@anoushpesuna6983 5 жыл бұрын

Very good explanation helped a lot

@summerha8170 8 жыл бұрын

Great explanation ! thank you sir

@jasonbullemer8134 8 жыл бұрын

great explanation. Thanks!

@dhiruiitk 10 жыл бұрын

THANK YOU very much,it helped me a lot

@flortour9329 8 жыл бұрын

Thank you this example was great! But what happens if convolution includes a rectangular pulse and a function with sin,cos or tan? x(t)=cos(2t) and h(t)=2u(t-2)+2u(t-5) as an example

@ec11368 2 жыл бұрын

Thank you Darryl

@phomolomphahlele6189 9 жыл бұрын

thank you this is incredible

@supermanheavy430 9 жыл бұрын

fantastic example.

@laautaro11 5 жыл бұрын

awesome video, thanks a lot

@kimphan4326 7 жыл бұрын

thank you so much its 2am and i just did my first convolution problem correctly and i almost cried

@ehsan_kia 10 жыл бұрын

The convolution of x and y is DEFINED as integral of x(t)*y(s-t)dt, and the definition follows from how it was derived in the first place (as the impulse response, which has to do with delta functions and how those work).

@JulioCGallardo 8 жыл бұрын

This is making much more sense now.

@abubakrbinumar9635 7 жыл бұрын

skillfully explained.

@fikrifirman 9 жыл бұрын

great video. thank you very much

@amusedbylife1457 8 жыл бұрын

super helpful!

@seenathgooding181 5 жыл бұрын

Thanks for the vid. it helped alot

@martinschidozieezuma6741 10 жыл бұрын

very good tutorial

@chillingmeko 7 жыл бұрын

@ 1:40 why is it a right shift, shouldn't it be a left shift since t is positive?

@tajiknomi 10 жыл бұрын

Thanks 4 Ur Explanation, But i have a Question... "Why We Flip Up One signal (Either x(t) or h(t)) in Convolution ?? I Want a Logical Answer so that i Know why we Do flipping one Signal ...

@atifrkhan 11 жыл бұрын

Thank you so Much!!!

@akashn8751 7 жыл бұрын

Thank you so very much.

@alonbez5756 Жыл бұрын

Thank you sir, you explained it very good. Kudos from Israel

@user-xw2hy8uf3i 2 ай бұрын

from the occupation *

@alonbez5756 2 ай бұрын

unlucky for you buddy@@user-xw2hy8uf3i

@ushams8068 7 жыл бұрын

thank you very much

@jibeneyto91 9 жыл бұрын

Great video! Just to be more rigorous, you forgot to include points t=0,1,3 and 4 in the definition of the convolution.

@dojodrifter9510 11 жыл бұрын

u saved me so much for my midterm my prof blows so much

@Iymonchy 11 жыл бұрын

every time I want to revise convolution I come back to this video

@LalitYadav-pf6sm 5 жыл бұрын

thank you

@carcheta21 11 жыл бұрын

Thank u!!!!!!!!!

@nehabhakuni 11 жыл бұрын

hii Darryl...you cleared my concept...it really helped me...it will be great if you can help me with the integration and differentiation of a any signal(to solve it graphically)...waiting 4 ur response..

@belalessameldiwany6810 10 жыл бұрын

Thanks alot :)

@jamalimam3784 6 жыл бұрын

You are going to heaven!

@youmah25 10 жыл бұрын

merci

@sarvariabhinav 6 жыл бұрын

his method is correct but for doing further problems please take time t(small t) as the time of the origin for eg if we have a window from 1/2 to -1/2 well take t+1/2 and t-1/2. half knowledge is always bad.

@MohamedAli-wf1so 6 жыл бұрын

thanks

@theoldnick92 11 жыл бұрын

you're a fuckin' genius man ! thank youuu

@nitrozero3 11 жыл бұрын

you should really do the calculations with the integrals, that would help people understand more difficult problems

@personsname0 8 жыл бұрын

thankyou

@sezinafsenying 8 жыл бұрын

why should h(t-tau) shift to the right when your t=1/2? it should shift to the left isnt it?

@wesleyrm76 8 жыл бұрын

+Haribo You are adding 1/2 to everything, which moves it all to the right.

@bobbybrogenlie6177 8 жыл бұрын

Because you flipped it?

@akshayraut3719 7 жыл бұрын

See bro, when we flip the function, like in this case we have first made h(-tau) and then if we add something, it goes to right and if we subtract something, then it goes towards left, obviously unlike what we do conventionally in shifting.

@mariochang6335 6 жыл бұрын

h[t-tau] = h[-(tau-t)]. => rotate, then shift to right if t is positive, as usual