DT Fourier Series-Simple Example

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  • เผยแพร่เมื่อ 8 ม.ค. 2025

ความคิดเห็น • 24

  • @masonp1599
    @masonp1599 ปีที่แล้ว +2

    dude im ngl I have no idea what u did after 10 minutes but ur other vids have been super helpful

  • @mxdog45
    @mxdog45 9 ปีที่แล้ว +1

    You are a life saver btw, love your videos, simple and easy to understand

  • @DarrylMorrell
    @DarrylMorrell  12 ปีที่แล้ว

    Yes, you are correct; the k got dropped. I will add an annotation to correct it. Thanks for pointing this out.

  • @VividlyVicious
    @VividlyVicious 12 ปีที่แล้ว +1

    did you drop the 1/N in the very beginning toward the end? if I'm not mistaken, the fourier coefficient formula is divided by the period of the signal.

  • @DarrylMorrell
    @DarrylMorrell  12 ปีที่แล้ว

    The 1/N does appear to have gone missing; thanks for pointing this out. I will add an annotation to fix it.

  • @okezieokoye
    @okezieokoye 7 ปีที่แล้ว

    I'm glad I found this video. Thanks!

  • @parshudgv
    @parshudgv 10 ปีที่แล้ว +1

    At 11.23 Ck should be 2 cos k(2*pi)/N ((Exponential power of -jK(2*pi)/N)-(Exponential power of -jK4(2*pi)/N)).

  • @jeremyley7031
    @jeremyley7031 10 ปีที่แล้ว

    Other plots I have seen related to the DFT and FFT express a series of magnitudes in the frequency domain. How come we didn't achieve that here / what is needed to get to that stage?

  • @parshudgv
    @parshudgv 10 ปีที่แล้ว +2

    Sir could u solve this problem???
    X(k)=cos(K*pi/4)+sin(3K*pi/4). where X(K) is Fourier coefficients,
    find x(n) timing signal..

  • @juliannediaz213
    @juliannediaz213 8 ปีที่แล้ว +2

    Where did the 1/N go after you did all that computation?

  • @DarrylMorrell
    @DarrylMorrell  12 ปีที่แล้ว

    I checked the phase plot again, and it is correct. It should be [0, -pi/4, 0, pi/4, 0, -pi/4, 0, pi/4]

  • @laztom14
    @laztom14 12 ปีที่แล้ว +1

    shouldn't it be cos((k.2pi)/N) at 08:41 ?

  • @slicric7416
    @slicric7416 8 ปีที่แล้ว

    my question is that when you take the euler formula how come there is a constant 2 in front of the cos()

    • @erikrosten7027
      @erikrosten7027 6 ปีที่แล้ว

      cos(x) = (1/2) * [ (e^jx) + (e^-jx) ], so (e^jx) + (e^-jx) = 2cos(x)

  • @reiko551
    @reiko551 9 ปีที่แล้ว

    I would really appreciate if you would rather show how to find the X[n] if C[k] is given.

  • @abbyestabillo2631
    @abbyestabillo2631 10 ปีที่แล้ว

    I'm not understanding how he was factoring. Can someone explain it to me?

    • @mxdog45
      @mxdog45 9 ปีที่แล้ว

      Abby Estabillo e^(2)=e^(1+1)=e^(1)e^(1)

  • @Sawsan8822
    @Sawsan8822 10 ปีที่แล้ว

    Factoring is really ugly..Why cant we leave this without factoring?

  • @asimelfadil7823
    @asimelfadil7823 7 ปีที่แล้ว

    this is wrong
    e^0=1
    what is he doing?

    • @erikrosten7027
      @erikrosten7027 6 ปีที่แล้ว

      He's factoring out an exponential so he can have a form that becomes cosine, since cos(x) = (1/2) * [ (e^jx) + (e^-jx) ]

  • @karimkhan1312
    @karimkhan1312 11 ปีที่แล้ว

    i think i under stand some thing
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  • @shubhamchoudhary502
    @shubhamchoudhary502 6 ปีที่แล้ว

    Why so slow?? 😴