How to Understand Convolution ("This is an incredible explanation")

Explains signal Convolution using an example of a mountain bike riding over rocks.
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Related videos: (iaincollings.com)
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• Convolution Equation explained • Convolution Equation E...
• Convolution in 5 Easy Steps • Convolution in 5 Easy ...
• Convolution Square with Rectangle • Convolution of Square ...
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Full list of categorised videos and Summary Sheets: iaincollings.com
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Пікірлер: 239

  • @hariharannair3281
    @hariharannair32812 жыл бұрын

    It's a joke that this kind of video has only 264 views it should be 2Million. God bless u sir

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks for your endorsement. ... hopefully the word will spread, and more people will see it. Fingers crossed. This "shock absorber" explanation has been knocking around in my head for the past 20 years, since I first started teaching Signals and Systems. It was only when I saw the boardwalk, while also thinking about what my next video should be, that I put it all together. I wish my lecturer had explained convolution to me this way when I was a student. That's what I'm aiming for with each of my videos. I'm really glad you liked it.

  • @undertaker7523
    @undertaker75232 жыл бұрын

    This is an incredible explanation. I wish you the best professor!

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad it was helpful!

  • @IDK_OR_DO_I

    @IDK_OR_DO_I

    Жыл бұрын

    Damn Zoro are you lost again?

  • @simple-stack-by-ed

    @simple-stack-by-ed

    7 ай бұрын

    Nothing happened!

  • @larswassink2593
    @larswassink25932 жыл бұрын

    Already passed my Signal Analysis course last year, but I never really understood the fundamental theory behind convolution. This explanation would have made my life significantly easier, since the way I have been tought convolution was, well, very convoluted... (it involved a lot of graphs that were very abstract...) Thanks Iain for making a fun video on a challenging concept on signals :D

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks for your nice comment. I'm glad to hear that you like it, and that you think you would have benefited from it when you were studying it.

  • @parthapratimboruah641
    @parthapratimboruah6412 жыл бұрын

    How fascinating it is that we get to see people like you sharing knowledge in unique ways!!! You got the idea while riding a bike and there you are sharing that with us. Thanks

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad you enjoyed it! Indeed, it is fantastic to be able to use the KZread platform to share education ideas.

  • @VICTOR-cu2de
    @VICTOR-cu2de2 жыл бұрын

    Best channel of telecommunications by far. You are helping me to do my research for my degree final project. All the best for you from Spain

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm so glad the videos are helping. Good luck in your project. It's a few years since I last visited Spain. Thinking about it is giving me tapas and churros withdrawals. 😁

  • @lawrencecohen1619
    @lawrencecohen16192 жыл бұрын

    This is the best explanation of convolution I have heard to date. As a life-long cyclist, I only wish I had heard the bicycle spoke analogy as a EE undergrad over 45 years ago.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm so glad you like it. I've been using the shock absorber as an example for impulse responses in my teaching for about 20 years, but it was literally only as I was riding over the wooden board-way that I had the idea of linking it together with convolution. I've never been happy with anyone's so-called "intuitive" explanations of convolution before, but I'm proud to say I really feel I've cracked it with this one. I'm glad you agree.

  • @harshithramamurthy2820
    @harshithramamurthy28202 жыл бұрын

    Teachers like you make world a better place for others..

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks so much. I really appreciate your nice comment. I'm glad you like the videos.

  • @chengshen7833
    @chengshen78332 жыл бұрын

    Really a brilliant and novel illustration about convolution! I'm from UNSW but really find the content of this channel much more helpful than EET's 2nd year course on signal and systems😅

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm really glad you're finding my channel helpful. It's great to hear.

  • @closh1938
    @closh19382 жыл бұрын

    i´m studying biomedical engineering in spain and your videos are helping me a lot, I hate just making the exercises your explication give me the intuition required for the subjects of signals and randomness to be fun, thank u very much, keep the work!!!

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    That's great to hear. I'm glad the videos are helpful.

  • @abcxyz-nd6xh
    @abcxyz-nd6xh Жыл бұрын

    Love your beautiful making use of the surrounding tools/materials to demonstrate the impulse responses!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Thanks. I'm glad you liked it.

  • @pratiraj1
    @pratiraj12 жыл бұрын

    Great intuitive explanation prof. Ian collings. You are not only helping us understand different concepts effectively but also igniting a desire to observe things happening around us and apply our knowledge to understand them better 😊

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks for your nice comment. I'm glad you like the videos.

  • @banaatti
    @banaatti10 ай бұрын

    Amazing, watched just 3 of your videos about convolution and I feel like I learned more than any of my Uni materials and whatnot. Thanks!

  • @iain_explains

    @iain_explains

    10 ай бұрын

    That's great to hear!

  • @HarpreetSingh-ke2zk
    @HarpreetSingh-ke2zk2 жыл бұрын

    Salute to your dedication in putting a tough concept into practical terms. Unless the term "convolution" is used repeatedly without a nonmathematical explanation.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad you like it.

  • @retiresoon2008
    @retiresoon2008 Жыл бұрын

    Finally I got the idea of convolution! The sum of system responses to a series of impulse signals. Thank you so much for the excellent explanations!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    That's great to hear. I'm so glad the video was helpful.

  • @fifaham
    @fifaham Жыл бұрын

    Very good analogy - thank you for your time and effort in creating those wonderful videos. I think 14K like in 1 year for this video is little, it should be 1 million. I took 5 courses on signals and systems back in late 80s and I got straight A, I do refresh and review to keep information fresh in my head. I love this subject a lot.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Thanks so much for your nice comment. I'm glad you like the explanation in this video. I've been thinking about the best real-world explanation for the convolution equation for more than 20 years. Even though convolution occurs in every single linear time invariant system on the planet, none of the other real-world examples/analogies used to explain the equation "out there in other videos" are accurate - mostly they are not even convolution at all! I wish this video was being seen by 1 million people, like you say - I'm sure it would help them (I've been teaching this unit for over 20 years, and I know this topic is one that confuses a lot of people).

  • @creativemt4065
    @creativemt406510 ай бұрын

    This is one of the BEST examples ever! That is why I love MTB!!!! Thank you!

  • @iain_explains

    @iain_explains

    10 ай бұрын

    I'm glad you liked it.

  • @yourpersonaldatadealer2239
    @yourpersonaldatadealer22392 жыл бұрын

    Interesting analogy, reminds me of an audio compressor that’s saturated to the point of attack and delay being constant. I just found your channel and it covers everything I did at uni. Feel like a refresher now though so may work through your content.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks for your comment. It's great to hear that the content is helpful.

  • @cledieu
    @cledieu Жыл бұрын

    The 2 pillars of pedagogy : repetition and reformulation ! Very helpful, Thank you Sir.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad it was helpful! And I'm glad you like the approach and the examples.

  • @ivanchen3141
    @ivanchen31412 жыл бұрын

    This is amazing! I almost gave up on my course until I see your videos. The explanations are so good!

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm really glad I could help! It's great to hear that you haven't dropped the topic/course.

  • @ivanrodionov9724
    @ivanrodionov97242 жыл бұрын

    Wow! This is by far the best and most intuitive explanation of how convolution works with an LTI system! I knew the formulas for a descrete and the continuous case, but only now did it really click in my head how one comes from one formula to the next! I quite like the format of this video, showing how convolution can be tangibly grasped in the real world without resorting to excess formalism and keeping the video very much alive. Please keep up the amazing work sir and greetings from Germany!

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks for your comment. I'm glad the video was helpful! I was in Germany at the start of 2020 just before Covid hit. I'm looking forward to the time when travel is freed up again. It would be great to visit again.

  • @ivanrodionov9724

    @ivanrodionov9724

    2 жыл бұрын

    @@iain_explains Ah yes the start of 2020 was quite the circus here in Germany. What part of Germany were you in if I may ask? If you are interrested, I would love to give you a tour of the TUM Campuses, labs and the Groundstation of the TUM sattelite fleet where I am working, if you happen to be going to Munich.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Yes I was in Munich, as well as Berlin, Frankfurt, and around the tourist spots in the south. It was a great trip. Thanks for the offer to visit TUM. Not sure when I might be back in the region, but if I am, I'll get in touch.

  • @ashleyy.973
    @ashleyy.973 Жыл бұрын

    The world ist so beautiful because of people like you. Your presentations many topics open another clearance and perspektive to learn and to undertand. Its far important and intersting to understand instead of just learning. Greeting from germany. Jing

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Thanks for your nice comment. And Hello from the other side of the world.

  • @tyroleanivan
    @tyroleanivan2 жыл бұрын

    Just outstanding!

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks. I'm glad you liked it.

  • @BICIeCOMPUTERconGabriele
    @BICIeCOMPUTERconGabriele7 ай бұрын

    Great bike!

  • @ItsMeTheUser
    @ItsMeTheUser10 ай бұрын

    Really helped me to understand the concept! Thank you sir!

  • @iain_explains

    @iain_explains

    10 ай бұрын

    Glad to hear that!

  • @richutrapbands
    @richutrapbands Жыл бұрын

    Thank you!

  • @ochimoto2151
    @ochimoto2151 Жыл бұрын

    This helps a lot! Thank you so much!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad it helped!

  • @theodoremercutio1600
    @theodoremercutio1600Ай бұрын

    I find this a helpful and intuitive explanation of the concept of convolution. Thanks for your time!

  • @iain_explains

    @iain_explains

    Ай бұрын

    Glad you enjoyed it!

  • @user-ud6oh8ku7o
    @user-ud6oh8ku7o Жыл бұрын

    wonderful explanation, love the nature background too. Thank you,

  • @iain_explains

    @iain_explains

    Жыл бұрын

    I'm so glad to hear that the video helped.

  • @lounesbenali4889
    @lounesbenali48892 жыл бұрын

    That was an awesome explanation, Thank you !

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad it was helpful!

  • @mnada72
    @mnada7210 ай бұрын

    That is a very intuitive explanation. Thank you

  • @iain_explains

    @iain_explains

    10 ай бұрын

    Glad it was helpful!

  • @user-bx7xh3wy1b
    @user-bx7xh3wy1b7 ай бұрын

    wonderful explanation! great, thanks Dr

  • @iain_explains

    @iain_explains

    7 ай бұрын

    Glad it was helpful!

  • @larshoernle5400
    @larshoernle54004 ай бұрын

    thanks the 3 videos in combination really give you an understanding of the topic

  • @iain_explains

    @iain_explains

    4 ай бұрын

    Glad to hear that!

  • @agustinlawtaro
    @agustinlawtaro5 ай бұрын

    It's great ! A great explanation, thanks.

  • @iain_explains

    @iain_explains

    5 ай бұрын

    I'm glad you liked it.

  • @fotiskougionas3093
    @fotiskougionas3093 Жыл бұрын

    Very Good explanation. I’m going through my signals and systems course for my electrical and electronic engineering degree and your videos have helped me a lot.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad the videos have been helpful!

  • @user-bv1un9wk6n
    @user-bv1un9wk6n2 жыл бұрын

    Amazing Explanation Sir.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks. I'm glad you liked it.

  • @amazighkhermane-rz1mw
    @amazighkhermane-rz1mw Жыл бұрын

    Just perfect. THANK YOU

  • @iain_explains

    @iain_explains

    Жыл бұрын

    I'm glad you liked it.

  • @irrationalpie3143
    @irrationalpie31436 ай бұрын

    Great video!

  • @iain_explains

    @iain_explains

    6 ай бұрын

    Glad you enjoyed it

  • @MGTOW-nn9ls
    @MGTOW-nn9ls Жыл бұрын

    That was brilliant Sir. Thank you for sharing your knowledge

  • @iain_explains

    @iain_explains

    Жыл бұрын

    I'm so glad you liked it.

  • @pritamroy3766
    @pritamroy3766 Жыл бұрын

    Its what just I wanted so badly for so long... The best analogy, best mathematically enriched explaination, thatnk you Sir...

  • @iain_explains

    @iain_explains

    Жыл бұрын

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

  • @synapticmemoryseepage4447
    @synapticmemoryseepage444711 ай бұрын

    Excellent, thank you!

  • @iain_explains

    @iain_explains

    11 ай бұрын

    I'm glad you liked it.

  • @richardbrown2290
    @richardbrown22905 ай бұрын

    great video. Thanks that helps explain convolution in a real world way. Thanks again.

  • @iain_explains

    @iain_explains

    4 ай бұрын

    Glad it was helpful!

  • @dees900
    @dees900 Жыл бұрын

    lovely explanation. thank u very much

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad you liked it

  • @wuzhai2009
    @wuzhai20092 жыл бұрын

    Good work, keep it up! I like this analogy. Analogies are like scaffolds that help students when they are building up their knowledge in a new area.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm glad you liked it.

  • @sudiptamandal1518
    @sudiptamandal15182 жыл бұрын

    What an explanation 😍!!!!!!! Wish I could get you as my college prof. In India most of Electronics students find signals and system boring as we are not taught this way....

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks, I'm glad you liked the video. I always think that examples are so important to help make maths accessible and interesting. Have you seen my other recent video discussing examples of the Fourier Transform? kzread.info/dash/bejne/iKiWtMelddHTo5s.html

  • @nanjiang4158
    @nanjiang4158 Жыл бұрын

    This is brilliant!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Thanks. I'm glad you liked it.

  • @indiaball5392
    @indiaball5392 Жыл бұрын

    Wow! I loved that explanation Brother!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad you liked it!

  • @mujahidali6988
    @mujahidali69884 күн бұрын

    Very interesting, very inspiring, generating a feel of convolution, thanks a lot.

  • @iain_explains

    @iain_explains

    2 күн бұрын

    Glad you enjoyed it!

  • @gus_siles
    @gus_siles2 жыл бұрын

    Many thanks.. very good example for teaching in class!!

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad you liked it

  • @sheshankjoshi
    @sheshankjoshi Жыл бұрын

    Thank you so much for that.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    You're welcome. I'm glad you liked it.

  • @ritesha8050
    @ritesha8050 Жыл бұрын

    wow, great explanation, thanks a lot sir.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    You are most welcome

  • @noha163
    @noha163Ай бұрын

    Hats off to you mate! Bloody legend

  • @iain_explains

    @iain_explains

    Ай бұрын

    No worries mate. 😁

  • @fellag87
    @fellag873 ай бұрын

    Amazing explanation, thank you

  • @iain_explains

    @iain_explains

    3 ай бұрын

    Glad you liked it

  • @melleniumster
    @melleniumster2 жыл бұрын

    Thanks a lot Professor. Now I understood what the convolution actually is! Very intuitive explanation.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad you liked it.

  • @DJ-yj1vg
    @DJ-yj1vg2 жыл бұрын

    Pretty good analogy with the boards of width delta t. Good explanation.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad it was helpful!

  • @speedbird7587
    @speedbird758710 ай бұрын

    Hello professor, Actually you gave me a very good insight about convolution . The first term in the integral is the input impulse signal, and the second term involving t-T is the system which is going to do some change to the input signal X(t). And since the impulse is a continuous signal, the output is also continuous, and this implies the definition of the convolution integral! Just like a block diagram for PID controls! Thank you very much!

  • @iain_explains

    @iain_explains

    10 ай бұрын

    I'm glad the video helped you to visualise the convolution operation.

  • @benimadimeva
    @benimadimeva4 ай бұрын

    that was a perfect explanation thank you hocam

  • @iain_explains

    @iain_explains

    4 ай бұрын

    Glad it was helpful!

  • @user-sv1ry7xi7t
    @user-sv1ry7xi7t7 ай бұрын

    ❤❤❤❤ Wow, lucky are those who have you as their teacher ❤ Much love and huge respect professor❤

  • @iain_explains

    @iain_explains

    7 ай бұрын

    Thanks so much for your nice comment. I'm glad you liked the video.

  • @artha3283
    @artha32832 жыл бұрын

    Neither Google nor my college teachers could explain it in this intuitive way Up till now I was only memorising the formula and using it thinking of it as just the" Sum of products" operation but now i see the significance of it!!! Best explaination!!!! Thankyou so much Sir!!👍👍

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm so glad it helped. It's a topic that confuses a lot of people, and I'm glad this explanation seems to really help.

  • @foxnevertelllies77
    @foxnevertelllies773 ай бұрын

    Wonderful,Simple and Excellent explanation of convolution. Thank you Professor....

  • @iain_explains

    @iain_explains

    3 ай бұрын

    Glad you liked it!

  • @adastra123
    @adastra123 Жыл бұрын

    You sir deserve a standing ovation. Brilliant. Thank you.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Thanks so much. I'm glad you liked the video. If you haven't done it already, you might like to check out my webpage. It's got a categorised listing of all the videos on the channel, as well as summary sheets you can download. I've got lots more videos that I'm sure will help with understanding convolution, including some worked examples. iaincollings.com

  • @adastra123

    @adastra123

    Жыл бұрын

    @@iain_explains I did already. The radar one is brilliant 👏 too.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Great.

  • @happyhayot
    @happyhayot2 жыл бұрын

    Brilliant explanation

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad you liked it

  • @amirhoosinabbassi7533
    @amirhoosinabbassi75336 ай бұрын

    I have a signal and system exam tomorrow and I learned a lot through this video even though it was more helpful than my professor's explanation itself thanks

  • @iain_explains

    @iain_explains

    6 ай бұрын

    Glad it helped!

  • @Mersad_.shahan
    @Mersad_.shahanАй бұрын

    Thank you professor ❤

  • @iain_explains

    @iain_explains

    Ай бұрын

    You're welcome

  • @serrafayaz
    @serrafayaz6 ай бұрын

    This is the best explanation ❤❤❤ thanks

  • @iain_explains

    @iain_explains

    6 ай бұрын

    Glad it was helpful!

  • @etiennecameron7783
    @etiennecameron77832 ай бұрын

    brilliant, just brilliant. Thank you. This makes so much sense. h as heaviside function.

  • @iain_explains

    @iain_explains

    2 ай бұрын

    I'm so glad it was helpful!

  • @amanuelnigatu4621
    @amanuelnigatu4621 Жыл бұрын

    this is what i am looking for tnx sir!!!!!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad I could help

  • @Gate-zj4rx
    @Gate-zj4rx Жыл бұрын

    Best Imaginable way of understanding convolution in REAL LIFE. Thank you sir👍

  • @iain_explains

    @iain_explains

    Жыл бұрын

    I'm so glad you found it helpful.

  • @edmundkemper1625
    @edmundkemper16252 жыл бұрын

    MY God!, an incredible , daresay revolutionary explanation of convolution , i will say !!! Kudos to you, Professor! Can you do a similar type of demonstration for Correlation as well and differentiate it practically with Convolution ? That would be so Good!

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Hopefully this video will answer your question: "How are Correlation and Convolution Related in Digital Communications?" kzread.info/dash/bejne/iZlp05d_esbIk7g.html

  • @Megabyte403
    @Megabyte4033 ай бұрын

    Thanks sir so much for clearing my doubt ❤❤

  • @iain_explains

    @iain_explains

    3 ай бұрын

    I'm glad it helped.

  • @quick_gaming250
    @quick_gaming2509 ай бұрын

    Best explanation ❤

  • @iain_explains

    @iain_explains

    9 ай бұрын

    Glad you liked it

  • @monicabn3067
    @monicabn30679 ай бұрын

    It’s very inspiring ❤😊

  • @iain_explains

    @iain_explains

    9 ай бұрын

    That's great to hear!

  • @hyggeligt007
    @hyggeligt0072 жыл бұрын

    Just so that I understood the intuition with the example of cycling over the boardwalk with 'N' number of planks, the convolution is simply the sum of 'N' different delayed impulse responses. Here, the delay is related to the position of the plank and each impulse response is the behaviour/displacement of the shock absorber when cycling over any given plank. Is this correct? Really appreciate the effort and thought put into your channel. Tremendously helpful.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Yes, you got it. And in the limit, when the "planks" are infinitely close together, then we move from a "discrete time" analogy to a "continuous time" analogy, and the "sum" becomes an "integral".

  • @thaddeogarcia4608
    @thaddeogarcia460810 ай бұрын

    thanks a lot!!!!!!!!

  • @iain_explains

    @iain_explains

    10 ай бұрын

    You're welcome!

  • @prasanth5264
    @prasanth52642 жыл бұрын

    It was really amazing I wish professors like u to work India , but it selfishness professors like u should continue in digital media because many people will benefit from entire world , lots of love from India

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks. I'm glad you like the videos.

  • @imlee67
    @imlee675 ай бұрын

    숲속 자전거 타기 그리고 convolution 당신의 열정에 👏 👏 👏 👏 보냅니다. 감사합니다

  • @iain_explains

    @iain_explains

    5 ай бұрын

    Glad you liked the video.

  • @omarberraqui8193
    @omarberraqui81937 ай бұрын

    just wow thank u

  • @iain_explains

    @iain_explains

    7 ай бұрын

    I'm glad you liked it.

  • @lebohangmonyai4341
    @lebohangmonyai43412 жыл бұрын

    You are Gold my good sir

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad the video helped.

  • @Gfdhj123-5df
    @Gfdhj123-5df6 ай бұрын

    Thank you.

  • @iain_explains

    @iain_explains

    6 ай бұрын

    You're welcome!

  • @alpargur
    @alpargur2 жыл бұрын

    A very catchy and entertaining analogy. Once again a great example! Convolution concept is very clear to me but somehow i cannot build a strong connection of convolution and convolution neural networks (CNN). Could you give a brief explanation or make a video on that one too? Cheers

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks for the suggestion. I'll add it to my "to do" list.

  • @FinalDestinationAllah
    @FinalDestinationAllah Жыл бұрын

    Great❤

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad you liked it.

  • @HH-hk7nt
    @HH-hk7nt Жыл бұрын

    This is beautiful

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Thanks. I'm glad you liked it.

  • @ahmedsherif843
    @ahmedsherif8437 ай бұрын

    Thank you

  • @iain_explains

    @iain_explains

    7 ай бұрын

    You're welcome

  • @zhaobryan4441
    @zhaobryan4441 Жыл бұрын

    Hi Prof, could you please explain the impulse response at time T is h(t-T),shouldn't this be h(t+T)

  • @iain_explains

    @iain_explains

    Жыл бұрын

    This video should help: "Shifting Functions" kzread.info/dash/bejne/n4SjmK6kkayxcbw.html

  • @mohchafik1752
    @mohchafik17522 жыл бұрын

    Brillant,intelegent smart man.

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Thanks for your nice comment. I'm glad you like the video.

  • @alfderbabybenz7092
    @alfderbabybenz7092 Жыл бұрын

    thats a really nice bike!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Yes, it's perfect for the trails around where I live. kzread.info/dash/bejne/iKiWtMelddHTo5s.html

  • @kpk331
    @kpk331 Жыл бұрын

    Very good explanation. A word about energy storage and resulting lag and Lead would have been even more helpful... Impulse and trapped/stored energy (i.e, initial conditions) works in the same manner, is it not?

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Thanks for the suggestions. I'll add them to my "to do" list.

  • @johnangelo2000
    @johnangelo20002 жыл бұрын

    Hi Ian, requesting again...Can you give intuitive explanation of DC NULL.....??

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    According to DC Comics, Null is a meta-human enemy of Hawkman who can manipulate gravity, he is also one of Netherworld inhabitants. ... I guess that's not the DC Null you are talking about, though. I've got it on my "to do" list, but it's a long list sorry. Also, it's more of an "electronics" question, so I'm not totally familiar with it. Basically, my understanding is that it has to do with problems that come from DC power transfer in RF circuits causing inefficiencies and other undesirable phenomena, so there are advantages to making sure there is no DC component.

  • @haritmohansaxena732
    @haritmohansaxena732 Жыл бұрын

    Nailed it

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Glad you liked it.

  • @charlesgeorge85
    @charlesgeorge852 жыл бұрын

    awsome

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad you liked it.

  • @faridjafari1710
    @faridjafari17102 жыл бұрын

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Glad you like it!

  • @mehdiheidari9142
    @mehdiheidari9142 Жыл бұрын

    wow very nice! one thing i still missing is how we describe our signal as series of impulses, imagine at a point signal value is 3, impulse value in every point is goes to infinite.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    To understand the answer, you might ask yourself what does it mean to say "a point signal value is 3"? More specifically, what is the value of a "point"? How narrow is the point? Is it infinitesimally narrow? And what are the units of the value "3" that you mention? In real life, nothing happens "instantly". Everything happens over a period of time (even if it is a very short period of time).

  • @edmundkemper1625
    @edmundkemper16252 жыл бұрын

    Kindly correct me if iam wrong Professor. So convolution is an entirely different way of representing input-output relationship. Like every input function in the world, just differently affects the magnitude of impulse response and gives rise to tadaa😂 the output of a system . Am i Right?

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm not sure I understand what you mean when you say "an entirely different way". Convolution is _the_ way of representing the output signal in terms of the input signal for linear time invariant (LTI) systems.

  • @edmundkemper1625

    @edmundkemper1625

    2 жыл бұрын

    ​@@iain_explains I meant it in a more abstract mathematical way Professor. Let me try to elucidate what i mean , generally when we try to represent the relation between 2 things, there are so many ways, some of them being functional representation, set to set mapping, system/operator representation etc and convolution was one of those different ways of expressing relationship between two quantities( in this case the input and output function) . This is how i comprehended convolution to be .

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Sure. But it's not just about input and output relationships. Convolution also arises in other contexts, for example when adding two random variables, the resulting random variable has a probability density function that is the convolution of the two individual pdf's of the random variables being added. See this video which explains this more: "What is Convolution? And Two Examples where it arises" kzread.info/dash/bejne/imaXrJqvccaWfbg.html

  • @edmundkemper1625

    @edmundkemper1625

    2 жыл бұрын

    @@iain_explains will check it out . Thanks !

  • @edmondscott7444
    @edmondscott744411 ай бұрын

    Like comparing power factor to horse towing a barge on a canal. I hope some people now understand convolution. If you do well done.

  • @SchubertConsulting
    @SchubertConsulting Жыл бұрын

    Very intuitive explanation. I doubt, however, whether the different pulses are really independent. In my view this point had to be discussed at least. Maybe you Implicity assume a linearity which is only a limiting case where you do not consider jumping etc.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Sorry, but I'm not sure what you're trying to say here. In particular, what you mean by "really independent". The "pulses" are orthogonal to each other. They occur at different times, and do not overlap. The integral (over time) of delta(t-tau1) times delta(t-tau2) equals zero. Also, in terms of linearity, the convolution equation only applies to linear systems. I didn't make a big point of this in the video because the purpose of this video is to provide an intuitive understanding of convolution - not to provide a definition with full conditions/assumptions.

  • @SchubertConsulting

    @SchubertConsulting

    Жыл бұрын

    @@iain_explains Just for my background. I come from microwave sensorics and are well familiar with linearity in differential equations www.stereoscopicscanning.de/MIOP/MIOP95.pdf. First I watched kzread.info/dash/bejne/famMzNl7ZK_gg6Q.html, in some sense, I could not follow, your video is much more intuitive. If the wheels are jumping then the system is no longer linear. If you have a big stone that makes the bike jump over the next rock, this second impulse is lost. I think the problem here is, when you have a spectator of the video who already well knows physics they will get distracted by these secondary effects. In a real-world situation, the wheels will jump from time to time and the tyre will get compressed completely occasionally, so the real-world situation is not linear. So, for understanding convolution, I must abstract from the real-world situation. Maybe the system can be considered linear for all sufficiently low speeds. If you add a phrase like: we will not consider situations where the wheels are jumping then also those already a little bit more familiar with the concept will not get lost. - Good continuation and thank you again for your excellent work.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    OK sure. But I've been thinking about "real world" examples that demonstrate convolution, for more than 20 years, and this is the best one I've come up with. All other "examples" I've ever seen/heard are _way_ off being linear, or even being "convolution" (apart from the noise a machine gun makes - but I'd prefer to avoid using weapons in my videos). If you can suggest a better real world example, which illustrates the "impulse response", then I''m keen to hear about it. The main problem is that "impulses" and "impulse responses" are not real - they are simply a mathematical tool to model what's really going on.

  • @iain_explains

    @iain_explains

    Жыл бұрын

    Anyway, at 0:22 I say "we're going to think about the suspension fork of my bike as being the system". In other words, the frame of the bike is explicitly _not_ part of the system, and is implicitly assumed to remain in a constant state (ie. the frame of the bike does not go up and down - only the forks compress). So I was ruling out jumping in the air. Also at 0:59 I explicitly said "and if the suspension forks are a linear system ...", so again, I think I did set out all the assumptions. .... Anyway, thanks for your comment. I'm glad you found the example interesting.

  • @zyctc000
    @zyctc000 Жыл бұрын

    This is brilliant! Another analogy: I have a linear pain response when slapped, which is H. My father always slap me when I fail in math exams which is the input X. One time I messed up so bad that my dad decided to slap me continuously all day. So my pain level at any given moment t during that day is the convolution of (X*H )(t) !😂

  • @pavansharmajanapati9687
    @pavansharmajanapati96872 жыл бұрын

    👌❤❤

  • @user-dp3xy3ki5u
    @user-dp3xy3ki5u Жыл бұрын

    This is incredible, so engineer and so cyclist!!

  • @iain_explains

    @iain_explains

    Жыл бұрын

    I'm so glad you like the video.

  • @emanueleziglioli499
    @emanueleziglioli4992 жыл бұрын

    I've heard there's a periodicity of cicada seasons, some years they don't come out

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    I'm not sure about that - maybe. They seem to be a constant part of summer in Sydney.

  • @the_hasnat
    @the_hasnat Жыл бұрын

    "Was out on my bike ride this morning, and I was thinking about convolution"

  • @iain_explains

    @iain_explains

    Жыл бұрын

    ... doesn't everyone? 🤣

  • @adeddy8138
    @adeddy81382 жыл бұрын

    Ohh shit I found this channel so late if i saw these videos a year earlier I would have got interest in my second year (ETC)and got 10 cgpa instead of 8 .

  • @iain_explains

    @iain_explains

    2 жыл бұрын

    Oh well, I'm glad you've found the channel now, and that you think the videos are interesting.