The Discrete Fourier Transform: Sampling the DTFT

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  • Опубликовано: 7 авг 2024
  • The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourier transform (DTFT).

Комментарии • 76

  • @iliTheFallen
    @iliTheFallen 9 лет назад +36

    Finally a teacher who could explain this concept CLEARLY. Very very very thanks Mr. Van Veen. Teaching something to someone and comprehending what it is are completely different SKILLS. Not everyone should be allowed to be teacher! Thanks again sir!

  • @Muertedertod
    @Muertedertod 4 года назад +4

    Very well explained! Reading that same topic from a book for hours couldnt solve my problems. Now i got it! Thank you!

  • @awesomesause78
    @awesomesause78 4 года назад +41

    Pretty amusing when you google something about a class, only to find a youtube video from your professor.

    • @smuksm
      @smuksm 3 года назад +1

      He is your professor? Lucky!

  • @sarvariabhinav
    @sarvariabhinav 6 лет назад +2

    this is one of the best videos on RUclips.thanks man

  • @francescoesco123
    @francescoesco123 10 лет назад +1

    That's exactly what I was looking for!! Thank you so much =D

  • @bhuvi441
    @bhuvi441 9 лет назад +1

    This is exactly what I wanted ! Thank you :)

  • @keran1995
    @keran1995 4 года назад +1

    Thank you!!! This is awesome, I just found you and you have saved my semester. Eres mi puuto Mario Castroo de PDS!

  • @samizhr4096
    @samizhr4096 6 лет назад +1

    Super clear. Keep the good work

  • @sameermalik5727
    @sameermalik5727 10 лет назад +1

    great service to students sir...continue the good work

  • @sumitvaise5452
    @sumitvaise5452 4 года назад

    You gave me confidence in this topic. Thanks!

  • @SangJaeBae
    @SangJaeBae 10 лет назад

    Thank you so much for your excellent explanation!

  • @davidmathewsiii5008
    @davidmathewsiii5008 3 года назад

    You cats are on the right groove with compression, there could be some amazing discoveries there.

  • @ToktaAkademi
    @ToktaAkademi 11 лет назад

    perfect video thank you so much!

  • @EliBiomedEng
    @EliBiomedEng 10 лет назад

    Great explanation, thank you very much

  • @asharali06
    @asharali06 9 лет назад

    Very precisely explained!

  • @ThuanDoan
    @ThuanDoan 9 лет назад

    thank you so much. such a great job :))

  • @user-sw8pl4gc1w
    @user-sw8pl4gc1w Год назад

    I love how he goes all in on the owners and chefs but always stays respectful towards the wait

  • @badyoghurt
    @badyoghurt 8 лет назад +21

    Correct me if I'm wrong, but I believe JPEG usues DCT, not DFT

  • @zDoubleE23
    @zDoubleE23 2 года назад

    I was wondering why your name looked so familiar. then i realized i own a copy of the first editions of your book. too cool.

  • @CommandantNOVA
    @CommandantNOVA 9 лет назад

    Is there a rule on what the time index values should be? For example, if I want to take the DFT of x(n) = cos(n) with a window of n = 0, 1, 2? Can I just sample once per second?

  • @allsignalprocessing
    @allsignalprocessing  10 лет назад +1

    I can try if you tell me a time in the video and an equation. I'm not sure what you are referring to exactly.

  • @tanyagupta3034
    @tanyagupta3034 9 лет назад

    Amazing!

  • @masintec
    @masintec 9 лет назад

    Great teacher, no dounbt

  • @semhar1396
    @semhar1396 2 года назад

    Thank you so much professor

  • @nachobatero
    @nachobatero 9 лет назад

    Thank you very much!!!!

  • @masoudy051
    @masoudy051 Год назад

    goddd, tnx man ,this helped in so many ways!!! ❤❤❤

  • @kavoos1000
    @kavoos1000 11 лет назад +2

    now i understand dft!!!

  • @jeffsam5495
    @jeffsam5495 6 лет назад

    can anyone explain what is define in this procedure? does this mean we can define anything??

  • @osamaa.h.altameemi5592
    @osamaa.h.altameemi5592 10 лет назад

    Thank you.

  • @fitrahazizah7267
    @fitrahazizah7267 7 лет назад

    how if DTFT from the signal that priodic?

  • @Jaxso
    @Jaxso 5 лет назад

    Bless your soul

  • @v.p22709
    @v.p22709 4 года назад

    I don’t know what’s going on and what you meant, but when you plug in a function to the inverse function you get the original value, alas x[n] and by no means you shall omit the formula of the sum of DFT from calculation of the inverse function. x[n] shall be a signal, but it turns to be the frequency domain for your calculation in DFT and it falls apart to be the signal - same x[n] for your calculation in DTFT. I hope I don’t distract the learning process for anyone, but someone who wrote about Fourier Series on Wikipedia in my native language has already succeeded to confuse 1000 EE students, so just watch ahead. I was wondering why such a good video has 28 dislikes, though I found out the source of the downvotes. Thanks though for working hard in explaining, the first 2.5 minutes indeed helped.

  • @AhmadTalkss
    @AhmadTalkss 5 лет назад

    How do u plot mag and phase of DTFT?

  • @AlexAlex-fo9gt
    @AlexAlex-fo9gt 5 месяцев назад

    4:35-5:40
    In my calculation of DFT
    X[2]=-1, not 0.
    Is the picture of DFM 7:36 right?

  • @davidmathewsiii5008
    @davidmathewsiii5008 3 года назад

    Ole Samir Kaddoura talked about this at Montverde, and Eddie Leibler, Hector Montalban chimed in too.

  • @youmah25
    @youmah25 9 лет назад

    thank you

  • @gcmwayanad3166
    @gcmwayanad3166 9 лет назад

    Thank you sir

  • @psonney
    @psonney 9 лет назад

    thank You.

  • @BlazeXak
    @BlazeXak 9 лет назад

    Thanks for the great video, Barry!

  • @HimanshuSalunkhe-gj2yc
    @HimanshuSalunkhe-gj2yc 10 месяцев назад

    very well explained

  • @josevillegas5243
    @josevillegas5243 10 лет назад +1

    Hello Barry, can you direct me to where you show that DTFT'{impulse train} = impulse train?

    • @allsignalprocessing
      @allsignalprocessing  10 лет назад +1

      The continuous-time version of this result is shown in Lecture 9 of the Introduction and Background playlist, "Properties of Fourier Transforms", starting at about 9:15. The specific case of an impulse train is an example used to illustrate finding the FT for periodic signals. The DT case is very similar. I can't recall at the moment if I show the DT version anywhere. Let me know if this doesn't answer your question.

  • @zjuzhanxf
    @zjuzhanxf 10 лет назад

    at 7:51, the DTFT and DFT chart, should the unit of x-axis be rads, instead of rads/s?

    • @easwarsankar
      @easwarsankar 10 лет назад

      It should be rads for DTFT. DFT x-axis does not have any units

    • @zjuzhanxf
      @zjuzhanxf 10 лет назад

      Thanks Easwar Sankar!

  • @shyralagarde4657
    @shyralagarde4657 9 месяцев назад

    What is meant by finite duration?

  • @pradyutmukherjee1110
    @pradyutmukherjee1110 2 года назад

    Why it starts from n=0 and not negative values? Can anyone explain?

  • @npnike
    @npnike 3 года назад

    Why is it okay to sample the frequency as 2*pi*k/N? Because then since k

  • @josephhajj1570
    @josephhajj1570 Год назад

    But the right question how to choose M in DTFT we choose the it using Shannon's theorem

  • @yudanwatermelon3903
    @yudanwatermelon3903 9 лет назад +1

    for DTFT, i dont understand how you get X(jw)=4 when k=0, since shouldnt sin(0)/sin(0) =0 ? can you explain? thanks

    • @allsignalprocessing
      @allsignalprocessing  9 лет назад +10

      0/0 is an indeterminate form, so you have to use L'Hopital's rule or look at the limit as k->0 to get the value

    • @obaid1976
      @obaid1976 6 лет назад

      or you can use sinc function as an alternate.

  • @MOHAMMEDRUSH
    @MOHAMMEDRUSH 10 лет назад

    ُThanks .. I love it .

  • @statikkkkk
    @statikkkkk 10 лет назад

    perfect.

  • @yudanwatermelon3903
    @yudanwatermelon3903 9 лет назад

    for DFT, shouldnt X[k]=2 when k=2?

    • @allsignalprocessing
      @allsignalprocessing  9 лет назад +1

      no, e^{-j pi} = e^{-j3pi} = -1, and e^{-j2pi} = 1, so it sums to zero when k=2

  • @zavianwilson6070
    @zavianwilson6070 10 лет назад

    My exponential maths skills are minimal at best... I'd appreciate if you kinda explain how the other parts of the summation went to zero...

  • @eqarus
    @eqarus 10 лет назад

    Hello.. can I have the matlab code for the DTFT and DFT representation of this video.. thanks..

    • @allsignalprocessing
      @allsignalprocessing  10 лет назад

      Please contact me directly through email with these sorts of requests.

  • @eneskeles7122
    @eneskeles7122 4 года назад

    Superb explanation. Thanks!

  • @nasaxd1862
    @nasaxd1862 2 года назад

    Don't fight the feeling

  • @rodericksibelius8472
    @rodericksibelius8472 Год назад

    I wish someday that Artificial Intelligence Engineering Physics mathematical Software will make a real world computerized simulation/animation with the aid of high tech 'SPECTRUM ANALYZERS / Vector Network Analyzers, of this type of too much complex topic to understand.

  • @csmith848
    @csmith848 9 лет назад

    at 15:14 "Click for more great mind-raping content" lol... seriously, thank you

  • @alex1999666
    @alex1999666 7 лет назад

    Isn't this a fourier series in descrete time rather than a DTFT?

    • @allsignalprocessing
      @allsignalprocessing  7 лет назад

      The DFT is sometimes called a discrete-time Fourier series, but in the signal processing field it is more common to use the name DFT. I agree it is not the "best" terminology, but it is established now and would be pretty difficult to try to change it.

    • @alex1999666
      @alex1999666 7 лет назад

      Ok undestood, thank you for your response!

  • @fitrahazizah7267
    @fitrahazizah7267 7 лет назад

    would you like to help me solve the result for DTFT of |cos (phi/6 n)|

  • @husseind1773
    @husseind1773 10 лет назад

    Dear Barry I need to calculate heart rate variability by using fast Fourier transformation and find total power and High frequency and Low frequency.
    ex)
    x=[0.465,0.466,0.470,0.500]
    How can I do that for above example.

    • @allsignalprocessing
      @allsignalprocessing  10 лет назад

      Hmm, I'm not sure I understand your question. Specific questions like this are often appropriate for the "signal processing stack exchange" forum. RUclips won't let me post the url, but if you google what I put in quotes you should find it easily. But you will have to give more details about your problem so people can understand it. Good luck.

  • @wtfwtf3709
    @wtfwtf3709 7 лет назад

    po

  • @nduduzobrian4286
    @nduduzobrian4286 6 лет назад

    and i thought signal processing is soooo annoying.........sir all student from south africa say thank you.(www.dut.ac.za)

  • @CvDb-mt4dl
    @CvDb-mt4dl 7 лет назад

    Thank you so much...!!!!

  • @DhananjayTyagi24
    @DhananjayTyagi24 9 лет назад

    thank you sir