What is a Linear Time Invariant (LTI) System?

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  • Опубликовано: 3 фев 2025

Комментарии • 151

  • @ritammukherjee1615
    @ritammukherjee1615 3 года назад +22

    By watching your videos i was able to solve all signal systems questions in a very tough Indian engineering competitive exam called GATE.

    • @iain_explains
      @iain_explains  3 года назад +3

      I'm so glad to hear that the videos have helped. Good luck with the exam.

  • @soulysouly7253
    @soulysouly7253 3 года назад +9

    currently following a stochastic process course but it's mostly applied to signals and communication which I know nothing about and your videos are literally saving me from potential failure

    • @iain_explains
      @iain_explains  3 года назад +4

      That's great to hear. I'm so glad you're finding the videos useful.

    • @soulysouly7253
      @soulysouly7253 3 года назад +3

      @@iain_explains not only useful, but very enjoyable too, I love the topics you cover, Im fond of probability theory, analysis and information theory and this is quite literally the sweet spot for me.

    • @iain_explains
      @iain_explains  3 года назад +4

      Thanks for letting me know. It's great to hear these sorts of comments - it motivates me to keep making more videos.

  • @dubzy21
    @dubzy21 4 года назад +9

    Just found your channel... definitely gonna help me out this semester! Thanks man

    • @iain_explains
      @iain_explains  4 года назад +2

      Great. Glad the videos are helpful.

  • @saimarizvi1298
    @saimarizvi1298 3 года назад +6

    Sir Indian Student will love to have teacher like you...!
    Thank you for the lecture

    • @iain_explains
      @iain_explains  3 года назад +5

      It's my pleasure. Please tell your friends about the channel too. The more people I can help, the better. Have you seen my website with a full listing of all the videos? iaincollings.com

  • @tomdella9255
    @tomdella9255 2 года назад

    I can't believe it's this simple, my lectures spent an hour on this and I left more confused about what it meant than when I started thir lecture.
    Having got your explaination their lecture now makes waaaaay more sense, but they really should have started with any explaination before diving into the mathematical proofs.

    • @iain_explains
      @iain_explains  2 года назад

      Glad the video was helpful. It's always helpful to have examples and break things down.

  • @조한수-x6q
    @조한수-x6q 3 года назад +1

    Your explanation is so helpful thank you!!

  • @kartheekpattigilli2759
    @kartheekpattigilli2759 7 месяцев назад

    I can't thank you enough,,, i love your explanation sir ,, thanks from india

    • @iain_explains
      @iain_explains  7 месяцев назад

      I'm so glad you found the video helpful.

  • @suryansh4722
    @suryansh4722 3 года назад +1

    Thank you, It was Helpful.

  • @rijass8841
    @rijass8841 6 месяцев назад +1

    Thank you.

  • @charlesgeorge85
    @charlesgeorge85 4 года назад +2

    Thanks you ..! Good Explanation

  • @AbhishekKumar-nz9dn
    @AbhishekKumar-nz9dn Год назад +1

    Thank u sir

  • @romesh58
    @romesh58 Год назад

    Great video. I took a course and the dude took the whole semester but made it worse by just throwing jargon and math. A 6 min tutorial and I won't forget this.

    • @iain_explains
      @iain_explains  Год назад

      I'm so glad to hear that you like my explanation. Have you seen my other videos on the channel? They're all listed here, in categorised order: iaincollings.com

  • @stringstoparadise2392
    @stringstoparadise2392 2 года назад +2

    sir, can you comment upon the linearity and nonlinearity of our wireless channel?
    according to me, the channel would be nonlinear as the channel coefficient is under rayleigh fading which would lead to distortion in phase and amplitude. but my doubt is that than how we are writing the impulse response of the channel rather an impulse response is defined for only LTI systems

    • @iain_explains
      @iain_explains  2 года назад

      Wireless channels are linear. For linear systems, when the input is a sinusoid, the output is a sinusoid at the same frequency. The amplitude and phase will (in general) be different, but there is no change to the frequency. The key point is that amplitude and phase changes are not "distortion".

    • @stanleyche470
      @stanleyche470 2 года назад

      @@iain_explains hello professor since the wireless channel is random in nature thus it cannot follow the property of homogeneity as the gain provided by the channel for different inputs at different intervals of time would be not the same but the principle of homogeneity tells us that for the system to be linear the o/p should be scaled by the same factor as that of input

  • @tıbhendese
    @tıbhendese 3 года назад

    4:21 I don't understand that point, x is just an impulse function and y is a different function. Is it really equals to = [some constant] times [x(t)] ?

    • @iain_explains
      @iain_explains  3 года назад

      I'm not sure what you are asking, sorry. At the 4:21 point, I am just giving an example of a functional relationship between x(t) and y(t). It's just one example, in which y(t) simply equals a constant gain, times the input x(t). That is exactly what an amplifier does.

    • @tıbhendese
      @tıbhendese 3 года назад

      @@iain_explains thank you for answering, this is the point that I don't understand. Why it's equal to a constant number? Xt, yt, and ht are (generally) completely different functions in systems. How H(t) is equal to a constant gain in t domain? S domain may be understandable a bit, but convolution is also complicated.

  • @Bao_Bab666
    @Bao_Bab666 10 месяцев назад

    Hello Sir, I set up the following chain : DAC -> LTI System (a filter) -> ADC and my aim is to plot the bode diagram (magnitude/phase) automatically. I was wondering if there a mathematical tools / known-mehod to extract the magnitude and phase information ?

  • @mwerensteijn
    @mwerensteijn 4 месяца назад

    Thank you very much!

  • @qwerty_____146
    @qwerty_____146 3 года назад

    Thank you man. But please help about resolve a equation TI and TV system with an example. thank you.

  • @ghislainr5127
    @ghislainr5127 Год назад

    you have no idea how your saving my butt 😅 thank you so much

    • @iain_explains
      @iain_explains  Год назад

      I'm glad you're finding the videos helpful.

  • @albertdot5704
    @albertdot5704 Год назад

    Sir I m in confusion please tell
    Which of following will definitely non lti system here Sint is input and S1 S2 S3 are systems
    A. Sint ------[S1]------sin(-t)
    B. Sint-------[S2]-------sin(2t)
    C. Sint-------[S3]------{sin(t)}^2

  • @edwinr4378
    @edwinr4378 4 года назад +1

    Awesome sir

  • @edgycuber9285
    @edgycuber9285 Год назад

    Thank you so much sir!

  • @cvsnreddy1700
    @cvsnreddy1700 4 года назад

    excellent explanation

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    @KimberlyPerez-d8g 3 месяца назад

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    @MatthewWilson-p9o 4 месяца назад

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  • @asseilalhlafi128
    @asseilalhlafi128 2 года назад

    Very useful , thanks a lot

  • @estherhozy9475
    @estherhozy9475 3 года назад

    Thank you so much

  • @snowflakes003
    @snowflakes003 3 года назад

    thank you so much!!

  • @AJ-fo3hp
    @AJ-fo3hp 3 года назад

    Thank you very much 🙏🙂
    Non linear system rectifier (x(t))^2

    • @iain_explains
      @iain_explains  3 года назад

      Thanks for the suggestion. I've put it on my "to do" list.

  • @primaryforest2947
    @primaryforest2947 10 месяцев назад

    What is an impulse response

    • @iain_explains
      @iain_explains  10 месяцев назад

      You just need to search my channel! or check my website iaincollings.com and you'll find the answer: "What is an Impulse Response?" ruclips.net/video/WTmelRV_Yyo/видео.html

  • @daopengliu6138
    @daopengliu6138 3 года назад

    Hello, sir. Is that y(t) = x(t) times h(t) in your figures ? If so, y(t) = 1 x h(0) in the first figure, how could y(t) be a continuous time figure.

    • @iain_explains
      @iain_explains  3 года назад

      No, that is the symbol for convolution. For more information on convolution, see: "What is Convolution? And Two Examples where it arises." ruclips.net/video/X2cJ8vAc0MU/видео.html

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    @ganeshram3830 3 года назад

    ur simplicity is yreuwqijkj. it means awsum.

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    @alikadhum2123 3 года назад

    dr why h being h(t-tow) whats happened

    • @iain_explains
      @iain_explains  3 года назад

      Perhaps this video might help to explain: "Convolution Equation Explained" ruclips.net/video/RmePGKWOSMQ/видео.html

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