Lecture 7, Continuous-Time Fourier Series | MIT RES.6.007 Signals and Systems, Spring 2011

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  • čas přidán 22. 08. 2024
  • Lecture 7, Continuous-Time Fourier Series
    Instructor: Alan V. Oppenheim
    View the complete course: ocw.mit.edu/RES...
    License: Creative Commons BY-NC-SA
    More information at ocw.mit.edu/terms
    More courses at ocw.mit.edu

Komentáře • 65

  • @danielcolegrove4668
    @danielcolegrove4668 Před 8 lety +90

    Insanely good explanation. You can just see he's the one who wrote the book that my teachers are trying to explain...

  • @ohayuhanna
    @ohayuhanna Před 5 lety +15

    A brilliantly lovely lecture. As Daniel Colegrove commented, it is apparent that he is the one who wrote the book.
    He proceeds with what is introduced in the book so cleanly and masterfully, and it's with this confidence that he provides such a concise lecture. Illustrating the adding up of components vividly brings what would be so ephemeral into life, and thus ignites joy in the student.

  • @afridahmed5140
    @afridahmed5140 Před 8 lety +38

    His lectures are the only thing saving me from failing the signals and systems course. Thank you so much.

  • @jtekmmx
    @jtekmmx Před 6 lety +15

    I spend all my leisure time writing algebraic derivations, thank you.

  • @oluwaseyi7800
    @oluwaseyi7800 Před 2 lety +1

    These lectures are priceless.

  • @sysshenry
    @sysshenry Před 8 lety +14

    i think there is an extra minus sign in the bottom part in 22:03
    Inside the integral, it should be e^(j(k-n)), not e^(-j(k-n))

  • @lien-chinwei4815
    @lien-chinwei4815 Před 4 měsíci

    Thank you for quality explanation and insight on a Fourier series.

  • @vinaysharma8887
    @vinaysharma8887 Před 3 lety +2

    Sir looks so smart and charming

  • @solankibhavyaghanshyambhai9886

    Wow man you are just amazing, my college is teaching this subject from the book written by you.

  • @lounes9777
    @lounes9777 Před rokem

    what he said at the end was gold

  • @ECOMMUSK
    @ECOMMUSK Před 8 lety +10

    so much better to learn here than in class... my professor is kind of confusing

    • @heman248
      @heman248 Před 8 lety +11

      I think my professor doesn't know what he is talking about.

    • @IbrahimIsmail95
      @IbrahimIsmail95 Před 7 lety

      Hahah I feel you, same here.

    • @andrewpersaud4144
      @andrewpersaud4144 Před 6 lety +8

      no man. it is because its hard to follow in class and take notes. on youtube at home you can focus more, pause the video, rewind, use multiple sources that makes something understandable whereas w/o multiple sources (like in class) youre like huh?your prof is probably fine. in a technical class, thats how it is. you go to class to find out what you need to know then you go home and learn it. this isnt social science

  • @ANKITKUMAR-kc2zw
    @ANKITKUMAR-kc2zw Před 5 lety +2

    Wow his words are like bombs.crystal clear concept.

  • @capoman1
    @capoman1 Před 7 lety +6

    This is a difficult topic, very academic. The textbook and these lectures read like a math theory class. I can say that the students at my university struggle greatly with this material.

  • @CrzyAsianGuy
    @CrzyAsianGuy Před 8 lety +1

    Wow. The explanation is so clear.

  • @Britishbaptist
    @Britishbaptist Před 4 lety

    what a fantastic lecture. thank you to all who are providing this .

  • @doritos1122
    @doritos1122 Před 12 lety +1

    Thank you based Oppenheim

  • @JanusXX
    @JanusXX Před 7 lety +1

    That's an amazing lecture.

  • @sarathchandra4664
    @sarathchandra4664 Před 11 lety +1

    No . Thank you sir . your lecture was awesome !!

  • @Bob-lk8wf
    @Bob-lk8wf Před 7 lety

    That's why people like him make history !

  • @Pablo-ho2rg
    @Pablo-ho2rg Před 2 lety +1

    Why it's zero when k is not equal to n

  • @ujjwalroy5052
    @ujjwalroy5052 Před 10 lety +24

    That creepy intro music.. :D

  • @himadridebnath9177
    @himadridebnath9177 Před 7 lety

    WOW! A big doubt has cleared.

  • @AkhilReddyTangirala
    @AkhilReddyTangirala Před 8 lety

    great lecture

  • @erendemirel8909
    @erendemirel8909 Před 9 lety +22

    Watch it in 1.25x speed otherwise it is very irritating

    • @thesecrethero9901
      @thesecrethero9901 Před 8 lety +1

      +Eren Demirel Let's agree with 1.5x. +fraunos 2x is too fast for a person whose mother language is not English, I think.

    • @omega7377
      @omega7377 Před 7 lety +2

      Lol I bet you don't understand shit watching 2x.

    • @mrnarason
      @mrnarason Před 6 lety

      yeah 1.25x is fast enough to basically cut of his pauses and slow parts but not too fast because the material is still difficult to comprehend.

    • @pedroernias
      @pedroernias Před 5 lety

      I've been using 2x speed =p he's indeed very slow.

  • @visintel
    @visintel Před 10 lety

    nice video, explains a lot more than my teacher did in lecture. But i kinda find it hard to accept that a frequency can be positive I mean 2pi/T > 0 because T>0 right? if anyone can answer i owould be so glad

    • @ANKITKUMAR-kc2zw
      @ANKITKUMAR-kc2zw Před 5 lety

      Visual Intelligence w is positive but k is not so kw may be positive or negative,it depends on value of k.You can say that negative and positive gives direction of rotation.

  • @AP-rs5wz
    @AP-rs5wz Před 5 lety

    I don't understand the relations at 18:00. It seems that all the imaginary terms are missing in the summations. For example, shouldn't we have + Ak * j * sinkw0t in the first one?

    • @yougoog1
      @yougoog1 Před rokem

      If the signal x(t) is real, then the imaginary terms are all cancelled out.

  • @Sasipano
    @Sasipano Před 12 lety

    Cool lectures....

  • @DistinguishedGentlemen
    @DistinguishedGentlemen Před 11 lety +1

    nice mustache Alan sir, nd great lectures :)

  • @hayaarzoo5821
    @hayaarzoo5821 Před 4 lety

    What is the chapter nmbr and topic nmbr in book of this lecture?

  • @AbhijeetSachdev
    @AbhijeetSachdev Před 10 lety +1

    :) Owe you sir :)

  • @saranaushin2599
    @saranaushin2599 Před 9 lety +1

    how very retro

  • @skyeahiabeensayeed
    @skyeahiabeensayeed Před 11 lety

    nice lecture ,can i get the soft copy of his book free? i badly need it,plz help

  • @kgirivarma4856
    @kgirivarma4856 Před 5 lety

    Are there any other lectures better these for signals and systems?

  • @AhmedKMoustafa2
    @AhmedKMoustafa2 Před 7 lety

    Did he explain Parseval Theorem in this course ??

  • @joeldiaz3001
    @joeldiaz3001 Před rokem

    7:33

  • @majevanes
    @majevanes Před 9 lety

    nice course but that's not 2011 it's probabily 50's or something though :P not me music tells

    • @thesecrethero9901
      @thesecrethero9901 Před 8 lety

      +Semih kılıç response of MIT OCW to a similar question in comments Lecture 2 video:
      "The video was recorded in 1975 but published on MIT OpenCourseWare in the spring of 2011. In some ways though, these materials are considered timeless. Even though the material is old, it is still current and considered good reference material."

  • @mesnotadese9391
    @mesnotadese9391 Před 7 lety

    i don't understand why he says the integral of the complex exponential over T {T for m=0 and 0 for m not equal to 0}

    • @ANKITKUMAR-kc2zw
      @ANKITKUMAR-kc2zw Před 5 lety +1

      Just convert exponential into cosine and sine and try to integrate it you will get the answer.

  • @thtr9647
    @thtr9647 Před 9 lety

    How can he come up with those equations in 8:44, I remember that response is different from lecture 4, which should be h(t-tao).

    • @yougoog1
      @yougoog1 Před rokem

      applying the convolution commutative property x*h = h*x, the equation from lecture 4 is equal to the one here.

    • @fayazrahman731
      @fayazrahman731 Před rokem

      @@yougoog1Thank you!

  • @ishakektiren7871
    @ishakektiren7871 Před 8 lety

    demek sadece türkiyede sinyal dersi yokmuş :((