Graphical convolution example

Learn how to apply the graphical "flip and slide" interpretation of the convolution integral to convolve an input signal with a system's impulse response.

[gunther]

11 years later and this is one of the best videos I have watched over the past few weeks studying for my exam.

[Jeankuhne]

In despite the clear explanation, which is great by the way, the video totally succeed due the use of a non ordinary example! Most of the books explain continuos convolution using step and exponential functions. This is the first time that I can see a convolution example using a ramp function as h(t). This is really a good job and really helped me a lot! Thank you very much!

[flamers]

that made so much more sense than the 1000$ course i paid for at university

[MexterO]

You explained what took 4 class lectures in a 11 minute video. Thank you. :D

[sheepman]

I was blown away by your example. Now this is teaching.

[kyrinky]

Out of several videos I have watched since the morning (6:00AM) until now (7:00PM) hands down to this one. It explained the concept crystal clear.

Well done, sir!

[samueladade]

Best video explaining convolution. Superb job!!!

[ntspress]

At 5:38, the downward-sloping ramp function needs an offset (the +1) to make it have a value of 1 when time t=0 (see the given signal shape at 1:11).

[vandal]

Superior in every way to my professors explanation today. Thanks!

[rubytski]

Very clear explanation and nice graphical representation.
Thx! you seem a talented teacher.

[RickopotamusRocks]

Thank you so much! I've been having a hard time wrapping my mind around this graphical method. Your animation was incredibly helpful!

[mensahrichard]

Man!, I wish I had you as my lecturer. You are marvellous, Keep doing that

[trandrew]

This has been the most helpful video I've seen on the subject. Thank you!!

[RafaelAcurcio]

Really usefull video.
Congratulations.

[BoZhaoengineering]

This video is cool! we are born to recognize shape and geometry.

[ntspress]

The "flip" is part of the mathematical definition of convolution, and generally makes a difference in the result. An exception is when the "flipped" waveform already has even symmetry, for example a triangle ramp that goes up and comes back down at the same rate (even symmetry means you can flip the waveform about its center value and it looks the same).

[astrokits]

And I finally understand what convolution does, and the role of h(t). Thank you! I was going to memorize because I couldn't understand it!

[ntspress]

At 8:13... we need the equation of the downward-sloping line between t = 1 and 2 seconds. Projecting this line back at t = zero means that the line hits the vertical axis at 4 (this is the y-intercept). Even though the line does not actually extend up to this value (because x(t) is constant in the 0 to 1 range), you need to write the function that describes x(t) during the 1 to 2 second range. Hope that helps!

[ntspress]

Thanks, Jean, appreciate your comments!

[مصطفىعبدالجبارجداح]

بارك الله فيكم وجزاكم الله خير جزاء المحسنين