Time Frequency Analysis & Wavelets

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  • เผยแพร่เมื่อ 7 ก.พ. 2025
  • COURSE WEBPAGE: Inferring Structure of Complex Systems
    faculty.washin...
    This lecture introduces the wavelet decomposition of a signal. The time-frequency decomposition is a generalization of the Gabor transform and allows for a intuitive decomposition of time series data at different frequencies.

ความคิดเห็น • 112

  • @EarlWallaceNYC
    @EarlWallaceNYC 4 ปีที่แล้ว +27

    Man! Kutz's students are a lucky bunch. The guy is clear, concise, insightful and fun. Great presentation of the material.

  • @Dominus_Ryder
    @Dominus_Ryder 6 ปีที่แล้ว +96

    So amazing. Best Wavelet tutorial on youtube. I've been watching a lot of these introduction to wavelet videos here on youtube, and all of them jump directly into the math without giving an basic understanding of what's going on intuitively. Really appreciate this.

    • @michaelschichta3880
      @michaelschichta3880 4 ปีที่แล้ว

      so true

    • @mvc2020
      @mvc2020 4 ปีที่แล้ว +2

      Brit Freeman Watch Gilbert Strang for Filter Banks and Multiresulution Analysis

  • @MarioRossi-sh4uk
    @MarioRossi-sh4uk 3 ปีที่แล้ว +1

    His writing (calligraphy) is the best I've ever seen. Really.

  • @dragasan
    @dragasan 3 ปีที่แล้ว +4

    I've been playing around with trying to understand wavelets on and off for years, but something was always slightly missing. This is one of the best lessons I've seen yet. I wish I had professors like this at Uni.

  • @yangliu2037
    @yangliu2037 5 ปีที่แล้ว +9

    This has got to be THE best introduction to wavelet analysis

  • @zk107999
    @zk107999 5 ปีที่แล้ว +3

    Nathan the absolute lad. I took your courses years ago. Here I am coming back to refer to them for work.

  • @ikang6
    @ikang6 6 ปีที่แล้ว +15

    You are truly an awesome teacher!! Such a fun lecture. This used to be such a boring subject for me. Now everything changed. I wish I can be as much animated about teaching as you clearly are. Thank you so much, Prof. Kutz!

  • @digipak07
    @digipak07 4 ปีที่แล้ว +1

    Greetings from Pakistan. Best tutorial that I have seen on the wavelets. Greatly useful for a geophysicist like myself.

    • @grxoxl
      @grxoxl 11 หลายเดือนก่อน

      Geophysicist's party, I suppose) What did you do then with wavelets? Seismic, I guess? Maybe something like RGB mixing?

  • @dabulls1g
    @dabulls1g 5 ปีที่แล้ว +11

    what a gem of a professor, sadly i'll never learn under him.

    • @orti1283
      @orti1283 4 ปีที่แล้ว +4

      you literally are right now (when you watched this video)

    • @dabulls1g
      @dabulls1g 4 ปีที่แล้ว

      @orti1283 under him as in he’s my academic/thesis advisor, not just listening to him speak.

    • @orti1283
      @orti1283 4 ปีที่แล้ว +2

      @@dabulls1g I know what you meant, I'm just looking at the bright side :)

    • @dabulls1g
      @dabulls1g 4 ปีที่แล้ว

      @orti1283 always nice to see the bright side

  • @monalisamallick9426
    @monalisamallick9426 5 ปีที่แล้ว +3

    Thank you Prof. Kutz for your awesome lecture. It is one of the best lecture I came across regarding wavelet transform. As you are speaking, you reminded me of Chandler and Joey of Friends.

  • @michaelschichta3880
    @michaelschichta3880 4 ปีที่แล้ว +5

    If my professors were half as passionate as this guy, then maybe i would fallen asleep on less lectures during uni.

    • @reocam8918
      @reocam8918 4 ปีที่แล้ว

      totally agree, but genius is rare.

  • @faiqashafqat8202
    @faiqashafqat8202 ปีที่แล้ว +1

    thanks professor. I have logically understood the WT and its background

  • @manonbouzereau4528
    @manonbouzereau4528 5 ปีที่แล้ว +3

    AMAZING TEACHER! I tried to understand the concept behind wavelets through a lot of video but none was so well explained!

  • @joaquinfariasmunoz4394
    @joaquinfariasmunoz4394 3 ปีที่แล้ว +1

    good timing to the class. Explanations are intuitive and rigurous, how a class should be!

  • @balajisriram6363
    @balajisriram6363 5 ปีที่แล้ว +9

    Wow, that teacher is awesome!!!!. great class sir

  • @guliyevshahriyar
    @guliyevshahriyar 6 หลายเดือนก่อน

    Phenomenal professor, you have a new student. 👏👏👏👏👏👏👏👏👏👏

  • @gerhardertl8089
    @gerhardertl8089 4 ปีที่แล้ว +2

    Very well explained. Perfect for a nerd during social distancing

  • @WordofSpirit
    @WordofSpirit 4 ปีที่แล้ว

    The explanation is more intuitive since I had seen other videos. But this one integrates all of them or do i say this one is a summation of all of them. Nice Job Nathan. God bless you and your kids.

  • @desalefentaw8658
    @desalefentaw8658 5 ปีที่แล้ว +3

    I have watched some of your tutorials, and they are all awesome, well explained and so clear.

  • @abdulrahmanboksmati3418
    @abdulrahmanboksmati3418 5 ปีที่แล้ว +1

    Great lecturing on such a complex topic... You have made my exam preparation a cruise

  • @funduino8322
    @funduino8322 4 ปีที่แล้ว

    Best wave at tutotlrial I have seen so far, very amazing teacher thanks

  • @christian.hansen
    @christian.hansen 4 ปีที่แล้ว

    Probably one of the best brilliant professors.

  • @ankushtandon7403
    @ankushtandon7403 4 ปีที่แล้ว +1

    you are such a good teacher its a fun learning from you huge respect!!

  • @loicalix-brown4173
    @loicalix-brown4173 5 ปีที่แล้ว

    I'm doing my final year project on predicting churn in a Software platform and needed to find a way to represent user usage patterns preserving both frequency and time information. This is the first piece of information i found that explains wavelet transforms in a clear way.

  • @yasisalehi
    @yasisalehi 5 ปีที่แล้ว +3

    I wish I was your student sir. Thank you so much for this great video. I learned a lot!!!

  • @xz7525
    @xz7525 4 ปีที่แล้ว

    Nathan - thankyou, this is brilliant! I wish I found you ten years ago...

    • @MeghaSKumar
      @MeghaSKumar 3 ปีที่แล้ว

      But this masterpiece came online only 3yrs ago.

  • @grxoxl
    @grxoxl 11 หลายเดือนก่อน

    Impressive quality! I could only dream about such a level of teaching at my uni(

  • @basiqquddusi9601
    @basiqquddusi9601 5 ปีที่แล้ว

    Seriously, that cartoon is the key to understand the basics of wavelets.

  • @ahmedcelik5448
    @ahmedcelik5448 6 ปีที่แล้ว

    Sir, thank you for this precious lectures. I and so many people, too would be grateful if you upload all lectures...

  • @alikaraca440
    @alikaraca440 4 ปีที่แล้ว

    This is a wonderful tutorial. very good explanation. my regards to Mr. Kutz.

  • @eriklong7299
    @eriklong7299 4 ปีที่แล้ว

    Great video. A very clear explanation of wavelets.

  • @ramkitty
    @ramkitty 3 ปีที่แล้ว

    My weekend will be sand and wavelets with a beer for Dr Kutz. Daubechies looks like a harmonic reflection but it is doubtful I will integrate this thought.

  • @ArnonoBen
    @ArnonoBen 5 ปีที่แล้ว

    Exceptionnal course, thank you immensly. I never understood wavelets before this video.

  • @267praveen
    @267praveen 4 ปีที่แล้ว

    Man ... Wish I could explain like you and feel like ' yes that's how it works '

  • @ansha2221
    @ansha2221 6 ปีที่แล้ว +1

    This is a great video. Amazing to understand the concepts...

  • @damianviscarra3432
    @damianviscarra3432 5 ปีที่แล้ว +1

    Thank you very much Prof. Kutz.

  • @AJ-fo3hp
    @AJ-fo3hp 4 ปีที่แล้ว

    Nice explanation

  • @faiqahmadkhan6009
    @faiqahmadkhan6009 5 ปีที่แล้ว

    Very well explained, Many thanks sir, stay blessed.

  • @pouyatavakoli3763
    @pouyatavakoli3763 4 ปีที่แล้ว

    Many thanks for this amazing video

  • @秦潇潇-w4b
    @秦潇潇-w4b 4 ปีที่แล้ว

    best easy to understand

  • @vincent_hall
    @vincent_hall 3 ปีที่แล้ว +1

    A video about a method that can be used for data compression (compresn):
    We can see that data compression was used on the video.
    the black lines have very white lines around them, then slightly grey lines around them, then back to average, which is very slightly grey.
    Clipping.

  • @Korzakapitany
    @Korzakapitany 4 ปีที่แล้ว

    What this video does is SHOW how to properly (so that everybody understands) introduce a non-trivial concept in mathematics / signal processing !

  • @rupa_vani_2296
    @rupa_vani_2296 5 ปีที่แล้ว

    such a good video in understanding wavelets

  • @sitioprueba2855
    @sitioprueba2855 4 ปีที่แล้ว +1

    This guy is amazing!!! Thank you!

  • @davidwang2533
    @davidwang2533 4 ปีที่แล้ว

    This lecture is so amaaaazing, thank you!

  • @554StorM
    @554StorM 3 ปีที่แล้ว

    This is excellent

  • @vincent_hall
    @vincent_hall 3 ปีที่แล้ว

    Thanks Nathanlet.

  • @REBIGMAN
    @REBIGMAN 4 ปีที่แล้ว

    Good teacher!

  • @Holako92
    @Holako92 6 ปีที่แล้ว +1

    Thank you Nathan. Really appreciate it

  • @nuamaaniqbal6373
    @nuamaaniqbal6373 6 ปีที่แล้ว

    best lecture on the topic.

  • @alachance2010
    @alachance2010 6 ปีที่แล้ว +3

    Great teacher!

    • @mosesasori9625
      @mosesasori9625 3 ปีที่แล้ว

      One of the best Tutorial on wavelet 😍😍😍

  • @rupeshmahamune5858
    @rupeshmahamune5858 6 ปีที่แล้ว

    thank you very much sir. very nicely explained (time and frequency resolution (w vs t))

  • @njchristoffersen
    @njchristoffersen 6 ปีที่แล้ว +5

    at ~ 18:50 would it not go up to sqrt(2) and -sqrt(2) bc we're trying to maintain the integral of the square of the function? Also, an amazing video and greatly appreciated!

  • @rubetz528
    @rubetz528 3 ปีที่แล้ว

    07:00 Isn't it Ingrid Daubechies though?

  • @kingsleyzissou5881
    @kingsleyzissou5881 6 ปีที่แล้ว +1

    Great video!

  • @MrAmalthejus
    @MrAmalthejus 3 ปีที่แล้ว

    So after multiplying with the Mother Wavelet we still need to take the Fourier Transform of the answer to extract the frequency information,right? Just multiplying a signal with a Square Function doesn't transform it into any domain, does it?

  • @hindkhiter9115
    @hindkhiter9115 4 ปีที่แล้ว

    thank you very much. Please, i have a question: isn't the shifted parameter located in the center of the wavelet???

  • @pavelkonovalov8931
    @pavelkonovalov8931 6 ปีที่แล้ว +1

    you are my god from now on Kreygasm

    • @zes7215
      @zes7215 6 ปีที่แล้ว

      no such thing as know or what to sx or drax about it or shouldbarx, cepux, say/can say any nmw and any can b perfx

  • @jonibekjurayev3983
    @jonibekjurayev3983 4 ปีที่แล้ว

    Thank you so much.

  • @suhasinica3620
    @suhasinica3620 3 ปีที่แล้ว

    But how to get the frequency spectrum information from the wavelets? Kindly explain

  • @chrispapadakis3965
    @chrispapadakis3965 4 ปีที่แล้ว

    Great video great teacher! Does anyone one where can I find the first lesson in this course? At tried the website, this video here is supposed to be lecture 2, but I tried lecture 1 and it is not introductory.
    Thanks in advance

  • @amirenikeev4738
    @amirenikeev4738 5 ปีที่แล้ว

    great explain

  • @faheemullah5574
    @faheemullah5574 6 ปีที่แล้ว

    Great sir

  • @tareqal-hababi2954
    @tareqal-hababi2954 4 ปีที่แล้ว

    Great! thank you so much!!!

  • @christian.hansen
    @christian.hansen 4 ปีที่แล้ว

    why have a bar over the kernel in the CWT ?

  • @shamsaljabbar1276
    @shamsaljabbar1276 4 ปีที่แล้ว

    Thanks a lot. Is there a lecture transcript? I'am a not a native English speaker.

  • @jaanuskiipli4647
    @jaanuskiipli4647 6 ปีที่แล้ว

    Good stuff! But it remained unclear why the need for wavelet kernel instead of just sliding and scaling a window coupled with Fourier' transform?

  • @nikolaradakovic5050
    @nikolaradakovic5050 5 ปีที่แล้ว

    So what is the difference between short Fourier Transform and Wavelets except in the choice of basis function?

  • @alejandroreyes8362
    @alejandroreyes8362 4 ปีที่แล้ว

    Hi, Im very interested in getting more knowledge about wavelets, but I have a doubt, this wavelet content is included in the book: "DATA DRIVEN SCIENCE & ENGINEERING" (witch is in the link)?
    Thanks for any answear !!

  • @junwang5799
    @junwang5799 5 ปีที่แล้ว

    Great lecture, thank you!

    • @alvinjamur1
      @alvinjamur1 5 ปีที่แล้ว

      This is the BEST explanaion of wavelets. Hats off and deep respect!!!!

  • @drsubbareddyborra352
    @drsubbareddyborra352 4 ปีที่แล้ว

    Any videos about waveatom transformation

  • @figura146
    @figura146 6 ปีที่แล้ว +1

    Great!

  • @SF-fb6lv
    @SF-fb6lv 6 ปีที่แล้ว +1

    It seems like it's not super-important to have true compact support. Mexican Hat Wavelet doesn't really have compact support; it extends forever in both directions. PS great video - one of the very few understandable wavelet vids, thanks!

  • @azitajudin6733
    @azitajudin6733 6 ปีที่แล้ว +1

    THANK YOU SO MUCH!!

  • @Mayeverycreaturefindhappiness
    @Mayeverycreaturefindhappiness 3 หลายเดือนก่อน

    what camera were they using?

  • @ulisesberman3770
    @ulisesberman3770 3 ปีที่แล้ว

    I wouldt mind going to a Hat Party with Professor Kutz

  • @lukaszmajkowski
    @lukaszmajkowski 4 ปีที่แล้ว

    whre is donate to make more videos button?

  • @prest0n755
    @prest0n755 6 ปีที่แล้ว

    I know you have students and maybe you want them to take notes but is it possible to include your notes or an appendix of the math.

  • @DORRAVS
    @DORRAVS 3 ปีที่แล้ว

    Wtf I dont even need this theory still im watching it xD

  • @frederiekwesel3523
    @frederiekwesel3523 3 ปีที่แล้ว

    Love this guy, he looks like he works on Wall Street in the 80s (no way this vid is of 2018) and fucked up, ending up teaching lol

  • @AminaAmina-by4oh
    @AminaAmina-by4oh 11 หลายเดือนก่อน

    سلام عليكم
    استاذ ممكن سؤال؟

  • @theAIex2
    @theAIex2 6 ปีที่แล้ว

    guys he mention something about multiresolution, do you know where in the video was it? I can't find it again

    • @Holako92
      @Holako92 6 ปีที่แล้ว

      It is in his channel: th-cam.com/video/hAQQwvKsWCY/w-d-xo.html

    • @johannam3093
      @johannam3093 5 ปีที่แล้ว

      22:48

  • @raybroomall8383
    @raybroomall8383 3 ปีที่แล้ว

    wavelet > little wave … professorlet... abs(prof,i,j)/max(abs(prof,i,j)) = Prof. Kutz :)

  • @k.c.sunshine1934
    @k.c.sunshine1934 5 ปีที่แล้ว

    I think someone needs to perform a wavelet transform of the opening scene of "The Master" and find the time and frequency aspects of Freddie Quell's life trauma! ;-)

  • @drsubbareddyborra352
    @drsubbareddyborra352 4 ปีที่แล้ว

    I need any one help

  • @tıbhendese
    @tıbhendese 4 หลายเดือนก่อน

    I have to make the speaker level +200% to hear what you say

  • @deepakkumarmeena1890
    @deepakkumarmeena1890 ปีที่แล้ว

    i love your jokes, if you were littel i would call you lill. nathan

  • @TheBigBumpinPartyPad
    @TheBigBumpinPartyPad 4 ปีที่แล้ว

    Edwin gets absolutely destroyed in this lecture !!!

  • @sjyyoutube
    @sjyyoutube 3 ปีที่แล้ว

    So this lecture proved that internet resources of this era do not give real intuitive understanding of the topic. Black board/white board is the only way of getting actual true knowledge

    • @gregandark8571
      @gregandark8571 3 ปีที่แล้ว

      What do you mean?

    • @sjyyoutube
      @sjyyoutube 3 ปีที่แล้ว

      @@gregandark8571 the understanding from the teacher in the classroom is only way to get actual concepts

    • @gregandark8571
      @gregandark8571 3 ปีที่แล้ว

      @@sjyyoutube Oooh... ok.

  • @alexanderskusnov5119
    @alexanderskusnov5119 4 ปีที่แล้ว

    Mexican hat is called sombrero.

  • @nickpandit4691
    @nickpandit4691 4 ปีที่แล้ว

    you are hilarious

  • @kutilkol
    @kutilkol 4 ปีที่แล้ว

    1992