The Discrete Fourier Transform: Sampling the DTFT

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  • Опубліковано 3 лип 2024
  • The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourier transform (DTFT).

КОМЕНТАРІ • 76

  • @iliTheFallen
    @iliTheFallen 9 років тому +35

    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 роки тому +3

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

  • @sarvariabhinav
    @sarvariabhinav 6 років тому +1

    this is one of the best videos on UA-cam.thanks man

  • @francescoesco123
    @francescoesco123 10 років тому +1

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

  • @bhuvi441
    @bhuvi441 9 років тому +1

    This is exactly what I wanted ! Thank you :)

  • @keran1995
    @keran1995 4 роки тому +1

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

  • @sumitvaise5452
    @sumitvaise5452 4 роки тому

    You gave me confidence in this topic. Thanks!

  • @sameermalik5727
    @sameermalik5727 10 років тому +1

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

  • @samizhr4096
    @samizhr4096 6 років тому +1

    Super clear. Keep the good work

  • @SangJaeBae
    @SangJaeBae 10 років тому

    Thank you so much for your excellent explanation!

  • @awesomesause78
    @awesomesause78 4 роки тому +40

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

    • @smuksm
      @smuksm 3 роки тому

      He is your professor? Lucky!

  • @davidmathewsiii5008
    @davidmathewsiii5008 3 роки тому

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

  • @masoudy051
    @masoudy051 Рік тому

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

  • @EliBiomedEng
    @EliBiomedEng 9 років тому

    Great explanation, thank you very much

  • @asharali06
    @asharali06 9 років тому

    Very precisely explained!

  • @semhar1396
    @semhar1396 2 роки тому

    Thank you so much professor

  • @user-sw8pl4gc1w
    @user-sw8pl4gc1w Рік тому

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

  • @ToktaAkademi
    @ToktaAkademi 11 років тому

    perfect video thank you so much!

  • @HimanshuSalunkhe-gj2yc
    @HimanshuSalunkhe-gj2yc 9 місяців тому

    very well explained

  • @ThuanDoan
    @ThuanDoan 9 років тому

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

  • @masintec
    @masintec 9 років тому

    Great teacher, no dounbt

  • @nachobatero
    @nachobatero 9 років тому

    Thank you very much!!!!

  • @tanyagupta3034
    @tanyagupta3034 8 років тому

    Amazing!

  • @zDoubleE23
    @zDoubleE23 2 роки тому

    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.

  • @allsignalprocessing
    @allsignalprocessing  10 років тому +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.

  • @Jaxso
    @Jaxso 5 років тому

    Bless your soul

  • @osamaa.h.altameemi5592
    @osamaa.h.altameemi5592 10 років тому

    Thank you.

  • @badyoghurt
    @badyoghurt 8 років тому +21

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

  • @kavoos1000
    @kavoos1000 11 років тому +2

    now i understand dft!!!

  • @CommandantNOVA
    @CommandantNOVA 8 років тому

    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?

  • @BlazeXak
    @BlazeXak 9 років тому

    Thanks for the great video, Barry!

  • @v.p22709
    @v.p22709 4 роки тому

    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.

  • @gcmwayanad3166
    @gcmwayanad3166 9 років тому

    Thank you sir

  • @youmah25
    @youmah25 9 років тому

    thank you

  • @psonney
    @psonney 9 років тому

    thank You.

  • @davidmathewsiii5008
    @davidmathewsiii5008 3 роки тому

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

  • @jeffsam5495
    @jeffsam5495 6 років тому

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

  • @eneskeles7122
    @eneskeles7122 4 роки тому

    Superb explanation. Thanks!

  • @statikkkkk
    @statikkkkk 10 років тому

    perfect.

  • @fitrahazizah7267
    @fitrahazizah7267 7 років тому

    how if DTFT from the signal that priodic?

  • @AhmadTalkss
    @AhmadTalkss 5 років тому

    How do u plot mag and phase of DTFT?

  • @MOHAMMEDRUSH
    @MOHAMMEDRUSH 10 років тому

    ُThanks .. I love it .

  • @shyralagarde4657
    @shyralagarde4657 7 місяців тому

    What is meant by finite duration?

  • @npnike
    @npnike 3 роки тому

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

  • @zavianwilson6070
    @zavianwilson6070 10 років тому

    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...

  • @pradyutmukherjee1110
    @pradyutmukherjee1110 2 роки тому

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

  • @AlexAlex-fo9gt
    @AlexAlex-fo9gt 4 місяці тому

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

  • @josephhajj1570
    @josephhajj1570 Рік тому

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

  • @zjuzhanxf
    @zjuzhanxf 9 років тому

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

    • @easwarsankar
      @easwarsankar 9 років тому

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

    • @zjuzhanxf
      @zjuzhanxf 9 років тому

      Thanks Easwar Sankar!

  • @josevillegas5243
    @josevillegas5243 10 років тому +1

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

    • @allsignalprocessing
      @allsignalprocessing  10 років тому +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.

  • @yudanwatermelon3903
    @yudanwatermelon3903 9 років тому +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 років тому +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 років тому

      or you can use sinc function as an alternate.

  • @nasaxd1862
    @nasaxd1862 2 роки тому

    Don't fight the feeling

  • @eqarus
    @eqarus 10 років тому

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

    • @allsignalprocessing
      @allsignalprocessing  10 років тому

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

  • @yudanwatermelon3903
    @yudanwatermelon3903 9 років тому

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

    • @allsignalprocessing
      @allsignalprocessing  9 років тому +1

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

  • @rodericksibelius8472
    @rodericksibelius8472 Рік тому

    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 років тому

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

  • @alex1999666
    @alex1999666 7 років тому

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

    • @allsignalprocessing
      @allsignalprocessing  7 років тому

      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 років тому

      Ok undestood, thank you for your response!

  • @fitrahazizah7267
    @fitrahazizah7267 7 років тому

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

  • @husseind1773
    @husseind1773 10 років тому

    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 років тому

      Hmm, I'm not sure I understand your question. Specific questions like this are often appropriate for the "signal processing stack exchange" forum. UA-cam 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.

  • @nduduzobrian4286
    @nduduzobrian4286 6 років тому

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

  • @wtfwtf3709
    @wtfwtf3709 7 років тому

    po

  • @AoAo-mt4dl
    @AoAo-mt4dl 6 років тому

    Thank you so much...!!!!

  • @DhananjayTyagi24
    @DhananjayTyagi24 9 років тому

    thank you sir