Lecture 2, Signals and Systems: Part 1 | MIT RES.6.007 Signals and Systems, Spring 2011

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  • เผยแพร่เมื่อ 6 ก.ย. 2011
  • Lecture 2, Signals and Systems: Part I
    Instructor: Alan V. Oppenheim
    View the complete course: ocw.mit.edu/RES-6.007S11
    This lecture covers mathematical representation of signals and systems, including transformation of variables and basic properties of common signals.
    ocw.mit.edu; Creative Commons Attribution-NonCommercial-ShareAlike 3.0; ocw.mit.edu/OcwWeb/web/terms/t... Album photo courtesy of Professor Alan Oppenheim

ความคิดเห็น • 156

  • @JuiceMa5ter
    @JuiceMa5ter 8 ปีที่แล้ว +205

    this material is over 40 years old, yet it is still the best on you tube so far...

    • @companymen42
      @companymen42 4 ปีที่แล้ว +11

      The S&S book by Oppenheim is the best ever. I'm reading the second edition after my EE Bachelors education and I am blow away at how good this book is at explaining S&S. I wish my school used it, Instead we got some half assed book written for people who are already knowledgeable of the topic.

    • @pspmaster2071
      @pspmaster2071 4 ปีที่แล้ว

      @@companymen42 which book did your school use?

    • @companymen42
      @companymen42 4 ปีที่แล้ว

      @@pspmaster2071 Linear Systems and Signals, 2nd Edition 2nd Edition by B.P. Lathi

    • @pspmaster2071
      @pspmaster2071 4 ปีที่แล้ว +4

      @@companymen42 interesting. I hear people saying Lathi's book is the clearest for a beginner and Oppenheim's is hard to read.

    • @sarthakpatel314
      @sarthakpatel314 3 ปีที่แล้ว +1

      @@pspmaster2071 B.P. Lathi is not recommended for beginners, Oppenheim is better

  • @johnk909
    @johnk909 7 ปีที่แล้ว +49

    This is what a teacher at the top of his game looks like

  • @damny0utoobe
    @damny0utoobe 8 ปีที่แล้ว +76

    i purchased Professor Opennheims book so I could follow along. this stuff truly is timeless. his presentation is very clear. this course is very core to electrical engineering. thanks for making this public, MIT

    • @dhwajgupta9175
      @dhwajgupta9175 6 ปีที่แล้ว +2

      totallly agree with this guy!!!

    • @debarghyaghosh1679
      @debarghyaghosh1679 ปีที่แล้ว +1

      this course is core to pretty much all of science

  • @rabiamiraykurt5341
    @rabiamiraykurt5341 4 หลายเดือนก่อน +3

    after 37 years, it's still far better than my professor's lecture

  • @Iachigan
    @Iachigan 8 หลายเดือนก่อน +3

    Wait, is this the man, the myth, the legend...sir Oppenheim himself!?
    Blessed be the mathematical knowledge from which we all must draw upon to perceive and understand such elated topics!
    Cursed be our shortcomings, that prevent us from reaching ever increasing knowledge.

  • @stevenan93
    @stevenan93 8 ปีที่แล้ว +69

    this guy is a legend

  • @Mahdi00hey
    @Mahdi00hey 5 หลายเดือนก่อน +4

    in 2024 im whtch this course thank you Professor Opennheims

  • @ezen100
    @ezen100 3 ปีที่แล้ว +22

    In india 🇮🇳 I can surely say, every signals nd system course use their basic textbook as oppenheim.. And Even for competitive exam

  • @mitocw
    @mitocw  8 ปีที่แล้ว +103

    +Selcuk Caglar He is still alive.

    • @----700
      @----700 6 ปีที่แล้ว +2

      MIT OpenCourseWare In case of discrete time exponential signal why are we taking an expression that leads to alpha=e^beta. This only causes problem when beta is -ve, as explained by the professor. Viewing the professor's concept in opposite way why don't we simply take the signal as Ce^(beta×n) as we did in case of continuous time exponential signal.

    • @khaben6986
      @khaben6986 5 ปีที่แล้ว +1

      great he's such an amazing teacher ^^

  • @abhijeetjain8591
    @abhijeetjain8591 8 ปีที่แล้ว +8

    i will never be able to thank Mr. Oppenheim enough.

  • @tusharikas5447
    @tusharikas5447 3 ปีที่แล้ว +6

    wish i had used internet in a proper way during my college days ,how could i miss the author teaching his own book in lucid ways..better late than never ,im gonna learn this course now.

  • @ShavieR2
    @ShavieR2 11 ปีที่แล้ว +18

    Thanks MIT for this material, I'm from Argentina and I study for Electronical Engineer in National Tecnological University (UTN), we use the book of Alan Oppenheim in class, this videos are very useful for me, maybe for a lot of local students too, to complement the class material wich our professors have forgotten to comment there.
    I have to mention that I am a follower of your university, is an inspiration for the engineering world
    Thanks a lot again! continue improving!
    Regards
    Javier Peruzzo

  • @khaben6986
    @khaben6986 5 ปีที่แล้ว +19

    in 2019 and I'm watching this video ^^ and it's so instructive thank you MIT OCW 😊

  • @KRIMEBOSS
    @KRIMEBOSS 4 ปีที่แล้ว +2

    this man right here is to be protected at all costs

  • @hiddenarray2315
    @hiddenarray2315 8 ปีที่แล้ว +5

    Thank you, MIT !!! These lectures really helps me understand these topics more clearly and systematically. I really wish to study in your prestigious university sometime in the future. Ciao ~ Rex :)

  • @bilginburakoztoprak3204
    @bilginburakoztoprak3204 2 ปีที่แล้ว +4

    Sen ne Ulu bir Bilge, sen ne güçlü kudretli bir zat, sen ne Allah dostu bi adamsın. Ver elini öpeyim hocam.
    Thanks from Turkey.

    • @bilginburakoztoprak3204
      @bilginburakoztoprak3204 2 ปีที่แล้ว +1

      yine gelmişiz buralara mk
      selam hocam

    • @emin3798
      @emin3798 9 หลายเดือนก่อน

      @@bilginburakoztoprak3204 okuldaki hoca bu bilge hocamızın kaynaklarını kullanıyor ve birebir aynı slayt aynı konular her şey aynı. ama abi bu adam bu işi zihnine kazıyor . okuldaki anlatınca sanki kendimi afrika kabile liderinin işaret diliyle bana anlatmaya çalıştığı şeyleri anlamaya çalışıyormuşum gibi oluyorum

  • @ZentessadesignStudio
    @ZentessadesignStudio 3 ปีที่แล้ว +2

    really great teacher and great guidance, cant tell that these videos were recorded in the old days

  • @prabhatsingh3609
    @prabhatsingh3609 8 ปีที่แล้ว +5

    i m very thankful to mit for providing such a nice lectures.

  • @usmanhaider1060
    @usmanhaider1060 8 ปีที่แล้ว +8

    Thanks MIT. Thanks MIT's Teachers and management.....

  • @timotte98
    @timotte98 4 ปีที่แล้ว +2

    Thank you Alan V. Oppenheim, thank you mit OCW

  • @prabhatsingh3609
    @prabhatsingh3609 8 ปีที่แล้ว +2

    i m very thankful to mit for providing such a nice lectures

  • @cardcode8345
    @cardcode8345 3 ปีที่แล้ว +2

    Proud to have Richard from Silicon Valley as my professor. Pied piper compression algorithm

  • @zzozio8196
    @zzozio8196 11 หลายเดือนก่อน +1

    I can still learn something new from it.

  • @fatimamarianar
    @fatimamarianar 5 ปีที่แล้ว +1

    I love this course, it's very useful. Thanks a lot.

  • @olgael7680
    @olgael7680 9 ปีที่แล้ว +36

    He did a great job, my teacher though is good and the MIT Instructor was good too, by the way we would like to say THANK YOU for this great job made by MIT OCW , Its amazing donation keep it up and thank u again !

  • @giacomodemarie2497
    @giacomodemarie2497 4 ปีที่แล้ว +1

    So excellent! Thanks MIT OCW!

  • @naletullah
    @naletullah 3 ปีที่แล้ว +4

    I literally applauded him at the end of the lecture. Great job. This is my first time understanding s&s :D

  • @TreacleMary
    @TreacleMary 12 ปีที่แล้ว +3

    Very interesting. Great introduction for me, as a beginner.

  • @marioaguirrehelguero2130
    @marioaguirrehelguero2130 9 ปีที่แล้ว +1

    Muchisimas gracias por compartir este material que es invaluable, el conocimiento. gracias! desde Argentina

  • @khalilstambouli7560
    @khalilstambouli7560 3 ปีที่แล้ว +1

    Professor Opennheim is a legend !!!

  • @naifalkhunaizi7847
    @naifalkhunaizi7847 ปีที่แล้ว +2

    Great videos! Thank you, we can apply signal processing to remove the background noise though

  • @BijuJames20
    @BijuJames20 11 ปีที่แล้ว +2

    This video is very helpful. Every student must watch............

  • @faizanazam981
    @faizanazam981 7 ปีที่แล้ว +4

    The Living Legend....

  • @EASTSIDESEE
    @EASTSIDESEE 2 ปีที่แล้ว

    ground breaking, I can't comprehend how we have allowed current instruction to be so lacking comparatively, ty

  • @Jefferson50275
    @Jefferson50275 11 ปีที่แล้ว +8

    Actually, at 7:25, he has it backwards. ODD functions are symmetric about the origin, even functions are symmetric about the Y-axis.

    • @MuhammedJohar
      @MuhammedJohar 4 ปีที่แล้ว +3

      I think he meant to say "time origin" witch is when t = 0
      and eventually it is y axis

  • @ashishthakur9819
    @ashishthakur9819 2 ปีที่แล้ว

    very interesting lectures ....these lectures are like web series

  • @rajonline7749
    @rajonline7749 ปีที่แล้ว

    I am watching these lecture in 2022 but I can't get out of the video to get good quality video lectures coz this is fantastic teaching

  • @alibey_10
    @alibey_10 5 หลายเดือนก่อน

    These videos are still useful for electronic engineers. Because it teaches fundamental of signals not classical memorization.

  • @finalfantasy7820
    @finalfantasy7820 8 ปีที่แล้ว +2

    Here you can find the 1st lecture:
    /watch?v=KJnAy6hzetw

  • @c.stewart000
    @c.stewart000 12 ปีที่แล้ว +1

    Lecture 1 is available at iTunes U. I dont know about the others.

  • @mnada72
    @mnada72 2 ปีที่แล้ว

    This is a great lecture 😁

  • @ohmyfly3501
    @ohmyfly3501 7 ปีที่แล้ว

    he wrote book on signals and systems , hope i was in MIT, thanks for the lectures.

  • @Digiphex
    @Digiphex 3 ปีที่แล้ว +1

    The intro music is outrageous.

  • @maziarghorbani
    @maziarghorbani 9 ปีที่แล้ว

    Thank you.

  • @yangar123
    @yangar123 3 ปีที่แล้ว +6

    He looks like Ross except with a mustache 😂

  • @milign8475
    @milign8475 4 ปีที่แล้ว

    pure gold

  • @siavashesmaili2483
    @siavashesmaili2483 6 ปีที่แล้ว

    At 10:28. If f (-x) = -f (x), then the function is odd.

  • @sabarirangan
    @sabarirangan 8 ปีที่แล้ว +2

    time (32:40) :how alpha(=exp(beta)) will be negative because for all values of beta from -inf to +inf the value of alpha will be always positive.

    • @prabhatsingh3609
      @prabhatsingh3609 7 ปีที่แล้ว +3

      in real exponential signal C and alpha should be real and this restriction are not on beta ,so beta may be complex or real such that alpha always come out to be real. for example exp(i*pi)=-1=alpha....

    • @Saidkus
      @Saidkus 9 หลายเดือนก่อน

      @@prabhatsingh3609 thanks for the explanation

  • @connorearly1778
    @connorearly1778 5 หลายเดือนก่อน

    I am about to start signals and systems course in school that uses his textbook. Any tips or suggestions before I start? These lectures will be awesome. Straight from the source

  • @Victoria-fs9jo
    @Victoria-fs9jo 7 ปีที่แล้ว

    What a guy!

  • @maurissone
    @maurissone 6 ปีที่แล้ว +1

    Oppenheim is unique.

  • @amsa1003
    @amsa1003 10 ปีที่แล้ว

    Hi to all , can some one answer my questions
    What does the spike in the autocorrelation represent? Does the spike hold all the information about the signal?How can we use the autocorrelation to help us detect the signal?

    • @3fishsombor762
      @3fishsombor762 9 ปีที่แล้ว

      we can use correlation to detect some signal patterns

  • @avayektaeianvaziri3052
    @avayektaeianvaziri3052 7 ปีที่แล้ว

    perfect

  • @rgseven6557
    @rgseven6557 8 ปีที่แล้ว

    I really wished I had seen this video earlier. I have an exam on signals in 2 days time and I must say this video is so helpful!!

  • @dipjul
    @dipjul 6 ปีที่แล้ว

    I'm reading his book :)

  • @aliyumuk397
    @aliyumuk397 6 ปีที่แล้ว +4

    7:26 A signal said to be even if it is symmetric about the y axis. Not origin.

    • @Waleedwsd
      @Waleedwsd 5 ปีที่แล้ว

      Well what he said is another way of what you are saying. When it's said that a function is symmetric about the origin it always means that it's not being referred as to being symmetric about the axis which accounts for the independent variable (which is 't' on x-axis in this figure). Notice his hand gesture.

  • @annkeyeefang2500
    @annkeyeefang2500 2 ปีที่แล้ว

    These vedio may be in my watch later for a long time......= =

  • @WeiguangDing
    @WeiguangDing 12 ปีที่แล้ว

    there are 2 parts of signals and systems, part I is lec 2, part II is lec 3

  • @askhatserikov1704
    @askhatserikov1704 10 ปีที่แล้ว

    what is the year of this video? it looks like it is from 90-th? But still this video os very helpfull thanks

  • @allandogreat
    @allandogreat 3 ปีที่แล้ว

    I can't believe that this course was recorded in 1987.

  • @wewtneel
    @wewtneel 12 ปีที่แล้ว

    hey where is lecture 2 part II ? coz the next one i see is lecture 3 part II.. moreover where is lecture 3 part 1?

  • @alirezaghodsipoor2239
    @alirezaghodsipoor2239 5 ปีที่แล้ว

    ...and Oppenheim comes out of history and teaches the "real" signals and systems.

  • @wedihafash
    @wedihafash 12 ปีที่แล้ว

    @MIT Many many thanks. you guys are astonishinggggggggggggggggggggggggggg

  •  8 ปีที่แล้ว

    are you live?

  • @tripathiragini6060
    @tripathiragini6060 5 ปีที่แล้ว

    Sir if we take π=(22)/7 and the N= 12πm if we take m =7 then N will be an integer. Why can't we do this ?At 23.59

    • @mayanksharma4330
      @mayanksharma4330 5 ปีที่แล้ว

      The value of pi is approximated it will still be not an integer.

    • @atchutram9894
      @atchutram9894 5 ปีที่แล้ว

      Pi is an irrational number, i.e., It can't be expressed as a ratio of integers. 22/7 is only an approximate.

  • @juan3141
    @juan3141 4 ปีที่แล้ว

    why isnt lecture 1 in the playlist?

    • @mitocw
      @mitocw  4 ปีที่แล้ว +1

      It's in our playlist. Maybe you are using another playlist? th-cam.com/play/PL41692B571DD0AF9B.html

  • @naviesometimes9417
    @naviesometimes9417 6 ปีที่แล้ว

    I think the assignment Lecture 2 .1(b) is false;for one is cos(wt+theta),the other is sin(wt+theta);but the answer conside them all be cos(wt+theta)

    • @ew98
      @ew98 5 ปีที่แล้ว

      did you find an answer to this?

  • @nerrd_explains
    @nerrd_explains 10 หลายเดือนก่อน +1

    IIT KGP, CSE sophomore, midsems 3rd sem, for my future reference

  • @pradyut8132
    @pradyut8132 หลายเดือนก่อน

    GOAT

  • @skyeahiabeensayeed
    @skyeahiabeensayeed 11 ปีที่แล้ว

    i couldn't find

  • @Captain_Rhodes
    @Captain_Rhodes 9 ปีที่แล้ว

    if alpha is e^b where b is a complex number. how can alpha ever be negative??? please explain for me! I thought an exponential of any type has to be always positive

    • @emmanueljoy2804
      @emmanueljoy2804 9 ปีที่แล้ว

      +Captain Rhodes Assume b to be -j(pi/2),then you would get alpha as -j..alpha can get negative sometimes..

    • @Captain_Rhodes
      @Captain_Rhodes 9 ปีที่แล้ว

      Joy Emmanuel thanks. do you also know why in lecture 1 he refers to alpha being negative, yet at the same time refers to it as a ''real'' exponential. if beta is complex how can alpha be considered a real exponential?

  • @JJGhostHunters
    @JJGhostHunters 7 ปีที่แล้ว

    Can the course manual still be found today?

    • @andremachado93
      @andremachado93 7 ปีที่แล้ว

      yes

    • @JJGhostHunters
      @JJGhostHunters 7 ปีที่แล้ว

      Where can this be purchased or acquired?

    • @ozguneren
      @ozguneren 7 ปีที่แล้ว +1

      ocw.mit.edu/resources/res-6-007-signals-and-systems-spring-2011/video-lectures/lecture-2-signals-and-systems-part-i/

  • @GugulothMahendarepb
    @GugulothMahendarepb 3 ปีที่แล้ว +1

    Can I get that book ?

    • @mitocw
      @mitocw  3 ปีที่แล้ว

      The assigned readings refer to the course textbook: Oppenheim, Alan V., and A. S. Willsky. Signals and Systems. Prentice Hall, 1982. ISBN: 9780138097318. For more info, see ocw.mit.edu/RES-6.007S11. Best wishes on your studies!

  • @xiaopohaikeke
    @xiaopohaikeke 5 ปีที่แล้ว

    有没有中文字幕呀

  • @kumarraghvendra2553
    @kumarraghvendra2553 7 ปีที่แล้ว

    how could be alpha negative?

    • @furryfreek
      @furryfreek 7 ปีที่แล้ว

      It could if it was expressed in decibels or some other logarithmic scale.

  • @treya111
    @treya111 3 ปีที่แล้ว

    I cannot believe UCL library doesn't have a copy of the textbook Signals and Systems......

  • @Jusaquikie
    @Jusaquikie 10 ปีที่แล้ว +4

    First off Thank you for the Video, it explained everything very well. But why does it look like it's from the 70's if it's from Spring 2011?

    • @feildtheory
      @feildtheory 10 ปีที่แล้ว +3

      This was recorded in 1975.

    • @mitocw
      @mitocw  10 ปีที่แล้ว +46

      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.

    • @waverly2468
      @waverly2468 8 ปีที่แล้ว +1

      +MIT OpenCourseWare 1975? Wow. I certainly don't have an issue with the vintage audio-visual equipment. And I remember how in 1975 video equipment was heavy and much harder to use than today's iPods.

    • @choinimanikanta5357
      @choinimanikanta5357 7 ปีที่แล้ว

      MIT OpenCourseWare please can u give the pdf of openheim signals and system...
      link...please

  • @treya111
    @treya111 3 ปีที่แล้ว

    I am lost at the Complex number part :(

  • @usuyenreyiz5349
    @usuyenreyiz5349 6 ปีที่แล้ว +16

    taşşaklarına beton yetmez sinyal reis

  • @TheAdlcn
    @TheAdlcn 9 ปีที่แล้ว +4

    even? symmetric with origin? are you sure about 7.25??

    • @umeshwarnathsurendranathan
      @umeshwarnathsurendranathan 9 ปีที่แล้ว

      Adil Can Balçık yes!

    • @ujjwalanand4705
      @ujjwalanand4705 9 ปีที่แล้ว +1

      Adil Can Balçık Are you sure about your education?

    • @stillstealer
      @stillstealer 9 ปีที่แล้ว

      Adil Can Balçık well, you are right about that my professor also had the same conversation and i corrected him.
      its symmetric about the y-axis

    • @stillstealer
      @stillstealer 9 ปีที่แล้ว +10

      UJJWAL ANAND its symmetric about the y-axis. You sure about your education ?
      Professor just missed it...

    • @bublai98
      @bublai98 7 ปีที่แล้ว

      Yeah, otherwise it becomes odd...

  • @gallantboy90
    @gallantboy90 12 ปีที่แล้ว

    I don't know how the substitle making engine works but it made many mistakes in this series of lectures.

  • @LucasMarques-ss6ih
    @LucasMarques-ss6ih 5 ปีที่แล้ว

    Ferraz me trouxe aqui

  • @ShubhamKumar-jd8bk
    @ShubhamKumar-jd8bk 3 ปีที่แล้ว

    17:40

  • @tusharbanswal2089
    @tusharbanswal2089 2 ปีที่แล้ว

    👏👏👏

  • @mnada72
    @mnada72 2 ปีที่แล้ว

    Why after all these years the people teaching this material don't mention such important issues , for example period 31 is astonishing. 23:25

    • @arnoldbr8418
      @arnoldbr8418 ปีที่แล้ว

      What do you mean? Other people teaching this do not mention this kind of thing?

  • @pyrocolada
    @pyrocolada 4 ปีที่แล้ว

    I'm struggling to understand why discrete is different from continuous... is discrete confined to only integers? But then there's a

    • @anasqamar1519
      @anasqamar1519 3 ปีที่แล้ว

      He is talking about discrete-TIME (a discrete x-axis), not the y-axis. The amplitude of the sine-wave can still hold continuous values, because that's the vertical axis, but the horizontal (time) axis can only hold integer values.

  • @user-gj1et5ns4d
    @user-gj1et5ns4d 4 หลายเดือนก่อน

    Is this useful in real life ?

    • @mitocw
      @mitocw  4 หลายเดือนก่อน

      Some quick Googling... "Yes, discretized complex exponential functions are used in many real-world applications, such as in digital filters, digital communication systems, and image processing algorithms. They are also used in modeling and simulating the behavior of physical systems in engineering and physics."
      Reference: www.physicsforums.com/threads/discretized-complex-exponential.494749/

  • @KRIMEBOSS
    @KRIMEBOSS 4 ปีที่แล้ว

    OMG fucking gawd this shit makes sense

  • @samirbouguerra2626
    @samirbouguerra2626 ปีที่แล้ว

    His book is a DSP bible

  • @thewaveclasses7740
    @thewaveclasses7740 8 ปีที่แล้ว

    please make latest version video it is very old

  • @bin3loush
    @bin3loush 8 ปีที่แล้ว

    حد من كليه التقنيه؟

  • @savemybrain2036
    @savemybrain2036 4 ปีที่แล้ว

    adam asetattat ders anlatıyor ama adam gibi anlatıyor.

  • @brianko4311
    @brianko4311 4 ปีที่แล้ว

    this is why hate prudue

  • @HRIDYANSHUKASHYAP-s4l
    @HRIDYANSHUKASHYAP-s4l หลายเดือนก่อน

    Es se jada mujhe aata hai

  • @SuvitJoshia
    @SuvitJoshia 6 วันที่ผ่านมา

    35:39
    \

  • @wedihafash
    @wedihafash 12 ปีที่แล้ว

    Lecture 1 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

  • @thewaveclasses7740
    @thewaveclasses7740 8 ปีที่แล้ว

    picture qulatiy is not good

    • @demonkiller2358
      @demonkiller2358 7 ปีที่แล้ว +4

      dude ..... that video was made in 19's and you are expecting for hd

    • @dabulls1g
      @dabulls1g 6 ปีที่แล้ว

      its from the 80s, and its a free education in signals and systems from one of the worlds most renowned professors on the topic. stop complaining and open your spoiled eyes.

    • @dabulls1g
      @dabulls1g 6 ปีที่แล้ว +1

      also neither is your spelling.

  • @prabhatsingh3609
    @prabhatsingh3609 8 ปีที่แล้ว

    i m very thankful to mit for providing such a nice lectures.

  • @deltacharlie5556
    @deltacharlie5556 2 ปีที่แล้ว

    17:16

  • @prabhatsingh3609
    @prabhatsingh3609 8 ปีที่แล้ว

    i m very thankful to mit for providing such a nice lectures.