Problems on CTFT/ FT - Part -1

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  • เผยแพร่เมื่อ 18 ม.ค. 2025

ความคิดเห็น • 80

  • @priyankams62
    @priyankams62 7 ปีที่แล้ว +3

    your approach to analyze and explain the problems is great. Thank you for making it easy.

  • @archanapanigrahi348
    @archanapanigrahi348 7 ปีที่แล้ว +10

    I wish we could have a teacher like u,coz we are still afraid of this subject. Thank u so much sir

  • @tilaksrraghunath5774
    @tilaksrraghunath5774 7 ปีที่แล้ว +6

    it's helpful for mechanical students as well . Vibration analysis requires Fourier transform .

  • @SunilKumar-eo3lp
    @SunilKumar-eo3lp 7 ปีที่แล้ว +2

    Sir, too good. Good one sir. Helping me a lot. Thank you sir. Indebted 🙏🏻👌🏻

  • @vaishnavrengan1286
    @vaishnavrengan1286 5 ปีที่แล้ว +1

    Very good lecture !! U made things easy for me. THANKS A LOT! 😊

  • @marklee1194
    @marklee1194 6 ปีที่แล้ว +2

    Thank you sir. Plotting magnitude and phase spectra was not thoroughly covered in class when I took Signals and Systems 1. At least everything is clearer now.

  • @shivaprasadnayak9186
    @shivaprasadnayak9186 7 ปีที่แล้ว +2

    Good one👍

  • @malavikadborkar6209
    @malavikadborkar6209 7 ปีที่แล้ว +2

    Omg !!Even I understood the problem 👌

  • @shethnisarg3049
    @shethnisarg3049 7 ปีที่แล้ว +4

    Sir in the last problem 7, if we differentiate on both the sides and then take the fourier transform as we did in problem 6 then we will get fourier transform of u(t) as 1/jw and the pi*delta(w) term is missing .. why we are getting two different answers with two different methods?

    • @aykut1
      @aykut1 6 ปีที่แล้ว

      Yes I need a answer for this (I found answer, answer ise because of dc value)

  • @muhammadalirana370
    @muhammadalirana370 7 ปีที่แล้ว +1

    nice lacturs sir ......

  • @raniwaghmode5239
    @raniwaghmode5239 6 ปีที่แล้ว +3

    This video is very useful to me and sir your teaching style is very nice .but video is not clear to see what you wrote on the board.

    • @techjunkiejdb5476
      @techjunkiejdb5476  6 ปีที่แล้ว

      rani waghmode try to view it in HD mode. 😊

  • @rudreshpandey9006
    @rudreshpandey9006 6 ปีที่แล้ว +1

    sir can u please tell what is the ft of rect function? I am not able to find that.

  • @chaithranayak1634
    @chaithranayak1634 7 ปีที่แล้ว +1

    nicely explained 👍

  • @seshasankar1892
    @seshasankar1892 6 ปีที่แล้ว +1

    i thought it will not get into my mind, when my lecturer took this concept finally i got it because of you sir , thank you so much!!! is there such videos for sequential circuits also in digital circuits and system course ?

  • @rashmikumari3863
    @rashmikumari3863 6 ปีที่แล้ว +1

    How to remember all Fourier formulas ? Any tips or tricks coz sometimes it is integration sometimes summation. Even the ranges are different

    • @techjunkiejdb5476
      @techjunkiejdb5476  6 ปีที่แล้ว +1

      Rashmi Kumari there are only 4 formulae . Two for Fourier series and two for Fourier transform. Please check my introduction videos on frequency domain representation. For discrete time signals we have summation and for continuous time signal we have integration 😊

  • @THUNDER-kw3wq
    @THUNDER-kw3wq 2 ปีที่แล้ว +1

    Sir why cant we solve the last ques by directly differentiating it like we did in the previous question

    • @techjunkiejdb5476
      @techjunkiejdb5476  2 ปีที่แล้ว +1

      You can’t differentiate u(t) directly . Need to represent it in terms of standard functions and then take its transform . If u differentiate directly and use the differentiation property you won’t be getting the residual term which we get here .

    • @THUNDER-kw3wq
      @THUNDER-kw3wq ปีที่แล้ว

      @@techjunkiejdb5476 ohhh but why so?

  • @limweihan2185
    @limweihan2185 3 ปีที่แล้ว +1

    very good teaching but why did not fixed you camera? ??

  • @vnnchetana
    @vnnchetana 4 ปีที่แล้ว +1

    Sir In problem 6 can we directly take
    sig(x) = 1 for t>0
    -1 for t

    • @techjunkiejdb5476
      @techjunkiejdb5476  4 ปีที่แล้ว

      Since there is discontinuity at t=0 . We can’t directly integrate

  • @ullalind6137
    @ullalind6137 5 ปีที่แล้ว +1

    Why can't we use the same principle from problem 6. in problem 7. mathematically (since the result is different)?

    • @techjunkiejdb5476
      @techjunkiejdb5476  5 ปีที่แล้ว

      I have used the same principal of equation of sgn(t) . 😊

    • @ullalind6137
      @ullalind6137 5 ปีที่แล้ว +1

      @@techjunkiejdb5476 Thank you!

  • @SunilKumar-eo3lp
    @SunilKumar-eo3lp 7 ปีที่แล้ว +2

    🙏🏻 thank u sir

  • @akashjagtap2784
    @akashjagtap2784 6 ปีที่แล้ว +1

    Sir Why cant we apply differenciation property while solving FT of u(t) signal?

  • @akshathanayak7954
    @akshathanayak7954 7 ปีที่แล้ว +1

    best explanation :)

  • @musaahmad1097
    @musaahmad1097 5 ปีที่แล้ว +1

    Sir for problem 5 is it possible to write x(t) =1 as sgn(t) +u(-t) and plug into analysis eqn and just alter the integral limits?

    • @techjunkiejdb5476
      @techjunkiejdb5476  5 ปีที่แล้ว

      Your addition of two signals will fetch you u(t).

    • @musaahmad1097
      @musaahmad1097 5 ปีที่แล้ว

      I meant to write 2*u(-t)

  • @bestskateboardsclub6147
    @bestskateboardsclub6147 4 ปีที่แล้ว +1

    can you help me draw the phase and magnitude of the last question please?

    • @techjunkiejdb5476
      @techjunkiejdb5476  4 ปีที่แล้ว

      Sinc function u r talking about . U get the CTFT and then follow the same procedure as I had told previously . Magnitude would be 2/omega . Plot this by giving different values to omega . Phase is -90

    • @techjunkiejdb5476
      @techjunkiejdb5476  4 ปีที่แล้ว

      Integrating is finding the area under the curve . So if it’s discontinuous at t=o , then integration would be from minus infinite to zero and then zero to infinity . ! Only in case of discrete signals the summation is shifted form minus infinity to -1 and then 0 to infinity if there is a case of discontinutity 👍

    • @bestskateboardsclub6147
      @bestskateboardsclub6147 4 ปีที่แล้ว +1

      @@techjunkiejdb5476 for sinc functions do we have to apply L'hospital rule?

    • @techjunkiejdb5476
      @techjunkiejdb5476  4 ปีที่แล้ว

      @@bestskateboardsclub6147 what r u finding ? Why differentiation ?

    • @bestskateboardsclub6147
      @bestskateboardsclub6147 4 ปีที่แล้ว +1

      @@techjunkiejdb5476 phase and magnitude spectrum of the sinc function

  • @kirankumarh351
    @kirankumarh351 3 ปีที่แล้ว +1

    Thankyou sir❤🙏

  • @sushanthreddy9672
    @sushanthreddy9672 7 ปีที่แล้ว +1

    Where is applications of Fourier represantations

  • @veggie_dose
    @veggie_dose 4 ปีที่แล้ว +1

    Thank you so much sir

  • @bestskateboardsclub6147
    @bestskateboardsclub6147 4 ปีที่แล้ว +1

    how to plot magnitude and phase of question 2

    • @techjunkiejdb5476
      @techjunkiejdb5476  4 ปีที่แล้ว

      Fix the value of a to be some constant . Then apply omega value in the equation . U will get the magnitude plot . Phase plot would be zero !

    • @bestskateboardsclub6147
      @bestskateboardsclub6147 4 ปีที่แล้ว +1

      @@techjunkiejdb5476 thank you I fixed the value of a to be a and omega starting from zero to a

    • @techjunkiejdb5476
      @techjunkiejdb5476  4 ปีที่แล้ว

      @@bestskateboardsclub6147 welcome !

  • @noahnelson8387
    @noahnelson8387 6 ปีที่แล้ว +1

    if you could turn off the autofocus on your camera so that it stops zooming out and in every time your hand comes in the shot that would be great

    • @techjunkiejdb5476
      @techjunkiejdb5476  6 ปีที่แล้ว

      Noah Nelson yes . I have taken care of it in my future videos . 😊 Thank you .

  • @waelabulafi7566
    @waelabulafi7566 5 ปีที่แล้ว +1

    i think problem 3 has a mistake... you didnt count when t=0 the take the derivative of 1 as x(t)

    • @techjunkiejdb5476
      @techjunkiejdb5476  5 ปีที่แล้ว +1

      wael abulafi it’s an integral . Not a derivative .

  • @akashjagtap2784
    @akashjagtap2784 6 ปีที่แล้ว +1

    Differenciation of u(t)=delta(t)
    hence X(jw)=1/jw

    • @techjunkiejdb5476
      @techjunkiejdb5476  6 ปีที่แล้ว

      Exactly .

    • @akashjagtap2784
      @akashjagtap2784 6 ปีที่แล้ว +1

      @@techjunkiejdb5476 but sir our teacher also give same answer that you have given
      So which is right 1/jw. Or the answer you have given

    • @techjunkiejdb5476
      @techjunkiejdb5476  6 ปีที่แล้ว

      It's is addition of both .

    • @akashjagtap2784
      @akashjagtap2784 6 ปีที่แล้ว

      @@techjunkiejdb5476 means final answer is
      pi*delta(jw)+1/jw

    • @techjunkiejdb5476
      @techjunkiejdb5476  6 ปีที่แล้ว

      @@akashjagtap2784 yes . That's right . I have done wrong here

  • @SUDHANSHUKUMAR-cw8lv
    @SUDHANSHUKUMAR-cw8lv 5 ปีที่แล้ว +4

    I think your camera man is " LOL " , some time some good things are by default converted in to the worst things ,
    only due to small mistake ( the mistake your camera man is doing ) , all time he is zooming in and zooming out the camera focus, i am unable to understand why he is doing so.... it's too irritating yr .
    BUT your teaching style is so pretty....

    • @techjunkiejdb5476
      @techjunkiejdb5476  5 ปีที่แล้ว

      I had recorded using a tripod . 😷

    • @patronarti5745
      @patronarti5745 4 ปีที่แล้ว +1

      Its trying to autofocus whenever there is a difference in the lighting 😅 not zoom in and out

  • @swamix_dot_com
    @swamix_dot_com 4 ปีที่แล้ว +1

    fix camera man....

  • @webpage3870
    @webpage3870 2 ปีที่แล้ว +1

    shortcut sucks