Trigonometric Fourier Series

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  • เผยแพร่เมื่อ 4 ธ.ค. 2024

ความคิดเห็น • 297

  • @hafizuddinsyed3887
    @hafizuddinsyed3887 4 ปีที่แล้ว +343

    "Symmterical abpout t-axis" it means that the positive and negative area is equal in magnitude.

    • @mayankbarapatre7817
      @mayankbarapatre7817 4 ปีที่แล้ว +15

      Yes. Average value will become 0.

    • @nickbeats9883
      @nickbeats9883 3 ปีที่แล้ว +6

      oh

    • @skmgamer8214
      @skmgamer8214 3 ปีที่แล้ว +2

      can anybody plz tell me how will we know a signal is even or odd.

    • @ayshaakter5676
      @ayshaakter5676 3 ปีที่แล้ว +14

      @@skmgamer8214 when the signal is symmetrical about y axis, it is even signal.
      But when its not then it is an odd signal.

    • @skmgamer8214
      @skmgamer8214 3 ปีที่แล้ว

      @@ayshaakter5676 ok thanks a lot🙏

  • @animeshverma584
    @animeshverma584 5 ปีที่แล้ว +41

    This is the best you tube channel for system and signal, with great detail

  • @adithyarajapakshe3791
    @adithyarajapakshe3791 2 ปีที่แล้ว +68

    Sir, You have no idea how much this videos worth to thousands of students arround the world. Thank you!!!!

    • @surajitsamanta2915
      @surajitsamanta2915 26 วันที่ผ่านมา

      No, sir have the idea by the likes and views.

  • @kavinmoorthi7108
    @kavinmoorthi7108 4 ปีที่แล้ว +38

    Finally youtube has recommended a good lecture series.

  • @MatheusSilva-dragon
    @MatheusSilva-dragon 4 ปีที่แล้ว +151

    Homework answer: x(t) is not symmetrical, so it's dc/average value cannot be nule; x(t) is purely even which implies bn = 0 (there is no sines as components).

    • @anikaitdash6519
      @anikaitdash6519 ปีที่แล้ว +4

      Yes. It is symmetrical about the time axis. So, an = 0.

    • @rohithrs21
      @rohithrs21 ปีที่แล้ว

      no it is symmetrical about y axis therefore bn=0 and an and ao can't be zero@@anikaitdash6519

    • @vidhiruparelia2491
      @vidhiruparelia2491 ปีที่แล้ว +1

      how did you figure its purely even?

    • @sanjusolra6359
      @sanjusolra6359 8 หลายเดือนก่อน

      you can check for it x(-t) = x(t) or it is a mirror image w r to y axis
      @@vidhiruparelia2491

    • @vproductions7389
      @vproductions7389 7 หลายเดือนก่อน

      @@vidhiruparelia2491 time reversal

  • @prakhartiwari9893
    @prakhartiwari9893 4 ปีที่แล้ว +27

    Sir u r doing great job u are the best teacher we students are blessed to have a teacher like u ,thanks very much

  • @der__forschera3589
    @der__forschera3589 5 ปีที่แล้ว +69

    Thank you very much for this video, your explanations are better than my profs's

  • @Fantasticsman
    @Fantasticsman ปีที่แล้ว +11

    For homework question,
    *a0* will be some DC or average value since it is not symmetrical to the t-axis.
    *an* will be some value since it is even signal.
    *bn* will be zero since it has no sine term.

  • @dembashow
    @dembashow 2 ปีที่แล้ว +95

    *x(t) is not symmetrical about t-axis ==>a0#0,
    *x(t) is symmetrical about y-axis==>x(t) is Even signal ==> bn = 0,
    *an#0

    • @sheesh9210
      @sheesh9210 ปีที่แล้ว +1

      Y axis or x axis?

    • @mayankmathurofficial
      @mayankmathurofficial 10 หลายเดือนก่อน

      ​@@sheesh9210 x-axis

    • @HipHop-xv2zn
      @HipHop-xv2zn 3 หลายเดือนก่อน

      Bro how did say that it is symmetrical or not, please reply me

    • @diags_1109
      @diags_1109 2 หลายเดือนก่อน +1

      @@HipHop-xv2zn If you go to -.5 on x it has the same corresponding y value as if you were to go to .5 on the x so therefore it is even. If odd then the values would be the opposite i.e (-.5,-1) ; (.5,1)

  • @sarahhughman2651
    @sarahhughman2651 4 ปีที่แล้ว +44

    this really helps me with my online learning during covid19 quarantine. thank you

  • @snehdeep712
    @snehdeep712 6 ปีที่แล้ว +21

    Hello! At around 12:08, you say that the saw tooth function (Fn. (ii)) is symmetric about the 't' axis. Symmetry generally means reflective symmetry. However, the function doesn't have a reflective symmetry. But since the amplitude is the same on both sides of the axis, they yield an average value of 0. This is probably why a0=0. Please comment.

    • @collegetv7986
      @collegetv7986 6 ปีที่แล้ว +3

      same doubt here

    • @aravindsubhash3740
      @aravindsubhash3740 6 ปีที่แล้ว +1

      Sneh Deep eey even signals are
      Signals which when folded around yaxis( time reversal) remains
      Same as that of original signal..
      This does not hold true for fun (ii).
      This it is an even signal.

    • @emanianjana1781
      @emanianjana1781 6 ปีที่แล้ว +1

      i didn't get you
      can you please expand

    • @aravindsubhash3740
      @aravindsubhash3740 6 ปีที่แล้ว

      EMANI ANJANA Wat

    • @socratesocrate3172
      @socratesocrate3172 6 ปีที่แล้ว +2

      The integration over the period will give you zero , if u calculate it u will get a°=zero

  • @pk_officl
    @pk_officl 5 ปีที่แล้ว +9

    Bn =0, otherwise ≠0. Bcoz it's symmetry to y axis and not to x axis. The waveform doesn't going down. It's only on the positive region.

    • @sheesh9210
      @sheesh9210 ปีที่แล้ว

      Then it's symmetry to x axis not y axis, y axis is for odd

    • @Rajveersingh-mb8fi
      @Rajveersingh-mb8fi ปีที่แล้ว

      @@sheesh9210 if symmetry in y- axis the signal is even

  • @ovidioescuderofranco233
    @ovidioescuderofranco233 ปีที่แล้ว +3

    Sir, you truly do not know how much you are helping students, definitely great series.

  • @RitayanMitraggmu
    @RitayanMitraggmu 7 ปีที่แล้ว +12

    Thank you sir for resuming the lectures..hope this subject will be finished before GATE 2018 :)

  • @rajkumari13484
    @rajkumari13484 4 ปีที่แล้ว +3

    Tq tq tq so...much sir . Ur teaching is better than my faculty ... I can easily understood Ur class
    And once again tq sir...this is really fantastic TH-cam channel for ECE studies...🤗🤗👍👍

  • @gauravnagamaheswarpattem7069
    @gauravnagamaheswarpattem7069 4 ปีที่แล้ว +4

    Bn = 0 ;
    An and A0 are not equal to zero;
    because that is even signal (An != 0 ) and since there is no signal below the X-axis(time axis) so it is not symmetric about time axis.
    so it is clear...

  • @roushansingh9936
    @roushansingh9936 2 ปีที่แล้ว +1

    13:19, an !=0, a0 != 0, and bn = 0

  • @samuelyawtenkorang352
    @samuelyawtenkorang352 3 ปีที่แล้ว +3

    Not symmetric about t-axis and so a0 ≠0, signal is symmetric about x(t) axis and this makes it Even, an≠0, bn=0

  • @쥬마펠키키
    @쥬마펠키키 5 ปีที่แล้ว +17

    Isnt "symmetrical about the t axis" a little vague here...? I guess it just means if the area above and below the t axis is the same, a0 is 0?

    • @arijitdey8419
      @arijitdey8419 5 ปีที่แล้ว

      Yes I guess you are right... because clearly about time axis,not a single graph has a mirror image

    • @nipunsenarath1561
      @nipunsenarath1561 5 ปีที่แล้ว

      next video -144(example 1)

    • @makingmycareer2608
      @makingmycareer2608 4 ปีที่แล้ว +1

      T-axis is nothing but the x-axis in these cases, I was also confused, but that's how you see it I guess.

    • @asrithperuri629
      @asrithperuri629 4 ปีที่แล้ว

      Even I have same doubt

  • @techtalkasad
    @techtalkasad 2 ปีที่แล้ว +3

    (iii): In the given signal a0=0(because signal reflection is same or its magnitude is same), since the signal is an Even signal (because it is symmetric about y-axis) therefore "an" not equal to zero. Also bn=0

  • @virajpansuriya8605
    @virajpansuriya8605 3 ปีที่แล้ว +1

    here , i am at right place for signal and systems course
    great playlist 😁

  • @xXMaDGaMeR
    @xXMaDGaMeR 10 หลายเดือนก่อน

    you are amazing, thank you so much for this series

  • @gopikrishnamoodu6152
    @gopikrishnamoodu6152 5 ปีที่แล้ว +10

    Sir i don't understand how the signals are symmetric about time axis. Can you clarify my doubt.

    • @sanketsingh8288
      @sanketsingh8288 5 ปีที่แล้ว

      here, the time axis means x axis.

    • @eddyr978
      @eddyr978 5 ปีที่แล้ว +1

      @@sanketsingh8288 lakin zese in even signal..about y axis it is reflection
      But x axis or time axis me to nhi hora asa plz explain

  • @dalinsixtus7648
    @dalinsixtus7648 5 ปีที่แล้ว +3

    Sir Iam a great fan of yours...sir please do kindly make lectures on DSP...it's only because of you to we understand Signals and system better... please sir

  • @awesomeboyztamil3651
    @awesomeboyztamil3651 4 ปีที่แล้ว +2

    neso acadamy is awesome acadamy

  • @prabhakardas4261
    @prabhakardas4261 7 ปีที่แล้ว +5

    it is an even signal ,average,a^o=0,a^n not equal to 0 and b^n equal to 0....correct me if i am wrong

  • @Rajesh-45-ro
    @Rajesh-45-ro 2 ปีที่แล้ว

    It is a half wave symmetry then =a°not equal to 0
    It is a even signal then=an not equal to 0
    And for even signals bn=0 not required..

  • @subhraneelacharjee2616
    @subhraneelacharjee2616 4 ปีที่แล้ว +1

    Keep doing the great work that you're doing

  • @surajhimanshu1962
    @surajhimanshu1962 5 ปีที่แล้ว +4

    How at 11:08 signal is symmetric

  • @annyni6640
    @annyni6640 4 ปีที่แล้ว

    Thank you! I'm passing my class because these videos help!

  • @okoriejessica697
    @okoriejessica697 ปีที่แล้ว +1

    How do you know when a signal is symmetrical to any axis?

  • @MrBooster.
    @MrBooster. 7 ปีที่แล้ว +2

    Sir, can you please upload the rest of the videos for signals and systems.

  • @benimadimeva
    @benimadimeva 11 หลายเดือนก่อน +1

    a_0 ≠ 0 ---> there is a dc component in the signal because signal is not a symmetric about the x axis
    a_n ≠ 0 ---> the signal is include a cos component because the signal is a pure even signal. The signal is symmetric about y axis
    b_n=0 ---> the signal is not include a sin component because the signal is a pure even signal.There is no any odd component.

  • @ankushrana2001
    @ankushrana2001 2 ปีที่แล้ว

    ao not equal to zero ( unequal across y or t axis), an not equal to zero ( x(-t) = x(t) , thus even signal, therefore cosine part is not zero), bn = 0 (not odd part of signal is there)

  • @tehreemsheikh1386
    @tehreemsheikh1386 6 ปีที่แล้ว +4

    please explain how the signal is symmetric about time axis,i am confused.

    • @hemanth7804
      @hemanth7804 5 ปีที่แล้ว +3

      Take single time period of sin signal. Top and bottom parts areas are equal. So it's symmetrical signal.

    • @eddyr978
      @eddyr978 5 ปีที่แล้ว +1

      @@hemanth7804 will u plz explain me ..
      As we are saying that it is symmetric..than it must has reflection but it is not
      Because in even we are seeing reflection about y axis and in odd reflection about origin...
      Plz explain me

  • @akshatrailaddha5900
    @akshatrailaddha5900 2 ปีที่แล้ว

    hw ans: a0 , an not zero as not symmetrical about time axis and origin respectively and bn is 0 as function is even

  • @janh83
    @janh83 7 ปีที่แล้ว +1

    very well explained

  • @sudheerjalli4707
    @sudheerjalli4707 4 ปีที่แล้ว

    Reflection along y axis Even function so bn=0

  • @yashvisolanki4340
    @yashvisolanki4340 2 ปีที่แล้ว

    Here waveform is symmetric along y-axis but not along x-axis that means bn=0 and we need to calculate ao&an

  • @MathEnth-rz3tt
    @MathEnth-rz3tt 9 หลายเดือนก่อน +1

    How is iii) symmetrical about the t-axis?

  • @workerpowernow
    @workerpowernow 3 ปีที่แล้ว

    good explanation. thank you

  • @kothojumadhuri5410
    @kothojumadhuri5410 3 ปีที่แล้ว

    Ur explanation fantastic 🔥 sir...

  • @vsmemegenix3512
    @vsmemegenix3512 3 ปีที่แล้ว +1

    Signal is even so We have to calculate a० and an in last question. Where bn = o

  • @amarjitroy2308
    @amarjitroy2308 3 ปีที่แล้ว

    a0 is not zero as the signal is not symmetry over the time axis, bn is zero as the signal is even signal, so an with cosine term exist.

  • @rakeshraj688
    @rakeshraj688 7 ปีที่แล้ว

    thank you sir for uploaded this video...

  • @altuber99_athlete
    @altuber99_athlete 2 ปีที่แล้ว

    Do you (or someone else) know what is the trigonometric form of the *discrete-time* Fourier series? The one shown in this video is for the continuous-time. And I've only found the complex exponential form of the DTFS.

  • @i_am_-bj6lx
    @i_am_-bj6lx ปีที่แล้ว

    an != 0, bn = 0, an !=0
    thank you very much for these lectures

  • @ahmernadeem3521
    @ahmernadeem3521 3 ปีที่แล้ว +1

    How to write the harmonics in trigonometric and exponential foirier series.

  • @inteluhdgaming1524
    @inteluhdgaming1524 10 หลายเดือนก่อน

    Ao =/ 0
    Bn = 0 (since it symmetrical along the y axis)
    An=/0

  • @yaredmin5999
    @yaredmin5999 3 ปีที่แล้ว

    a0=0 symmetry to y axis, and bn =0 even

  • @saraj866
    @saraj866 ปีที่แล้ว

    x(t) is not symm.above the time so a0=0, becouse this signal is even then bn=0 . for that x(t)=a0+sum of(an cos nwt)

  • @raveenabharathi740
    @raveenabharathi740 5 ปีที่แล้ว +2

    Sir, At 11.10 is signal is symmetrical about X axis?? I can see only halfway symmetry..

  • @solidworksforbeginnersin2053
    @solidworksforbeginnersin2053 ปีที่แล้ว

    As the third signal is symmetrical so a0=0
    an is not equal to zero while bn is zero.

  • @wilsonkomla6521
    @wilsonkomla6521 6 ปีที่แล้ว +1

    Looking at the waveform, it is not symmetric about the t-axis, thus making a_0 !=0; But from the look of the time reversal property of the signal, the output is reflective of the input and thus makes it an odd signal. That is, x(-t)= -x(t) and this is an odd signal. And we know that for odd signals b_n=0 and there a_n !=0. So in summary, a_0 !=0, a_n !=0 and b_n=0 respectively. Thank you

  • @niashree
    @niashree 5 ปีที่แล้ว +1

    can you explain what is symmetry about time axis?

    • @ElboxD
      @ElboxD 5 ปีที่แล้ว +6

      It means that if you analyse only one cycle, let's say, from - T/2 to T/2 (where T is the period of the signal) the area below the x axis (time axis, also known as horizontal axis) will be the same as the area above it so the areas will cancelled out so the total area is equal to zero. That's why Ao = 0. Hope I explained it well.

    • @kautukraj
      @kautukraj 3 ปีที่แล้ว +2

      @@ElboxD Yes, you did. Thank you!

    • @ElboxD
      @ElboxD 3 ปีที่แล้ว +1

      @@kautukraj Glad to know!

  • @adoanmian6701
    @adoanmian6701 2 ปีที่แล้ว +2

    graph 3: a0 not= 0, bn = 0, an not= 0 --> reason : this graph is an even function without symmetry to t-axis

  • @thelsazzad
    @thelsazzad ปีที่แล้ว +1

    Signal is identical, and even signal, so a0≠an≠0 and bn=0

  • @SIDDHARTHSHAH-m3i
    @SIDDHARTHSHAH-m3i ปีที่แล้ว

    a0=0 an=o as there is no symmetry with y axis bn#0

  • @saisagardasari227
    @saisagardasari227 5 ปีที่แล้ว

    Fourier series expansion is dc value + cosine terms +sine terms...instead of calculating dc value ...shall we calculate even component of signal????

  • @manishankarmukherjee9456
    @manishankarmukherjee9456 2 ปีที่แล้ว +1

    13:16 bn=0

  • @haribabureddy1173
    @haribabureddy1173 7 ปีที่แล้ว +2

    add the remaining videos on fourier series sir plzzzzzzzz

  • @itsrao5245
    @itsrao5245 ปีที่แล้ว

    sir a0 is not equal to zero and bn will be zero as signal is even signal and an will not be equal to zero. thanku so much for this signal and system playlist

  • @captainkite
    @captainkite ปีที่แล้ว

    For the assignment:
    a0 != 0
    an != 0
    bn = 0

  • @degavenkatavedavyaswfkwbgd3162
    @degavenkatavedavyaswfkwbgd3162 5 ปีที่แล้ว

    thank u so much bro

  • @emc2knowledge999
    @emc2knowledge999 7 ปีที่แล้ว +1

    Sir please continue Analog circuits

  • @utkarshshirbhate2938
    @utkarshshirbhate2938 11 หลายเดือนก่อน

    I think there is a formula mistake at 5:39 , instead of just a(not), it should be a(not)/2. correct me if I am wrong

    • @ibnefayaz5107
      @ibnefayaz5107 8 หลายเดือนก่อน +1

      it is correct

  • @dhritirajborah219
    @dhritirajborah219 4 ปีที่แล้ว +2

    why is a0 not equal to 0

  • @poornasekhar20
    @poornasekhar20 7 ปีที่แล้ว

    Thank you sir

  • @PardeepLabVIEW
    @PardeepLabVIEW 6 ปีที่แล้ว

    Thanks sir ji

  • @mr.sneakyff9133
    @mr.sneakyff9133 7 ปีที่แล้ว

    Thank u so much sir

  • @gangsterkhan125
    @gangsterkhan125 2 ปีที่แล้ว

    Good 🌟 sir

  • @pagalavan7472
    @pagalavan7472 ปีที่แล้ว

    Why 1/(T/2) which is equal to (2/T) is taken for an & bn but Ao=(1/T)
    Please clarify

  • @parameswararao6030
    @parameswararao6030 6 ปีที่แล้ว

    In video at time 12.00 u said that ao=0 if it symmetric about t axis but it example is not symmetric about t-axis

  • @dotilaxmaiah4779
    @dotilaxmaiah4779 6 ปีที่แล้ว +1

    a(n)=0,b(n)=o

  • @roopachinnu4707
    @roopachinnu4707 2 ปีที่แล้ว

    Even signal

  • @harithathirumalapudi6233
    @harithathirumalapudi6233 4 ปีที่แล้ว +1

    I got interest in SS subject only bcz of ur videos

  • @ani.281
    @ani.281 7 วันที่ผ่านมา

    Are ye network theory me kam ayegi????

  • @gowthamsaikrishnatanikonda2594
    @gowthamsaikrishnatanikonda2594 2 ปีที่แล้ว

    Hi sir,this signal can be represented in both sin and cos right?

  • @hailuu625
    @hailuu625 4 ปีที่แล้ว +3

    I dont understand how we can check whether x(-t)=x(t) or -x(t). Can someone pls explain for me

    • @adiljan1305
      @adiljan1305 3 ปีที่แล้ว

      This is the condition for the odd signals. You can verify it by first taking the time-reversal of the original signal and matches it with the amplitude reversal of the original signal. If R.H.S=L.H.S, then it is an odd signal otherwise not.

    • @sureshpeddini6443
      @sureshpeddini6443 2 ปีที่แล้ว

      @@adiljan1305 consider sint....if u take -t in place of t...then sin(-t) = -sint so it is odd signal....if u consider cost....if u take -t then cos(-t) = cost so it is even signal

  • @MrPotaatooo
    @MrPotaatooo 4 ปีที่แล้ว +4

    sir my teacher notes said a0 = 1/2T and an =1/T and bn =1/T
    but in your video you wrote a0 = 1/T and an = 2/T and bn = 1/T
    is it the same?

  • @lilianpatience8969
    @lilianpatience8969 4 ปีที่แล้ว

    Ao is not equal to zero because the signal is not symmetrical to the time axis
    An is not equal to zero as the signal is the reversal of the signal does not yield the same value
    BN is equal to zero

  • @saketsamrat5038
    @saketsamrat5038 3 ปีที่แล้ว +2

    ao ≠ 0
    an ≠ 0
    bn = 0

  • @PareeksAcademy10october2001
    @PareeksAcademy10october2001 3 ปีที่แล้ว +1

    #include
    int main()
    {
    printf ("I think your videos should be in Hinglish(Hindi+English)");
    return 0;
    }
    //TRUE ENGINEER CAN UNDERSTAND IT

  • @santoshsharma8445
    @santoshsharma8445 6 ปีที่แล้ว

    Nice one sir ji

  • @hashemabuali2362
    @hashemabuali2362 ปีที่แล้ว +2

    may Allah bless u brother for making these videos ❤❤

  • @mukeshreddy142
    @mukeshreddy142 3 ปีที่แล้ว +2

    Sir your explanation is best when compare to other lectures 👍

  • @Livedukk
    @Livedukk ปีที่แล้ว +1

    can anyone please explain how the signals are symmetrical around the X-axis, i understand it for Y axis but not for X.

    • @Deepak-ip1se
      @Deepak-ip1se 9 หลายเดือนก่อน

      just take the mirror image about x axis if it comes same as the original signal then they are symmetrical about x axis

  • @mostafadx7236
    @mostafadx7236 4 หลายเดือนก่อน

    how can i know the signal from waveform whether it's even or odd??

  • @jijojohn3303
    @jijojohn3303 3 ปีที่แล้ว +3

    sir, I had a doubt. Why do we multiply 2 to integrating factors for an and bn

  • @gorgetotwotwo3725
    @gorgetotwotwo3725 5 ปีที่แล้ว

    y axis symmetry=like cosine

  • @shivijain2899
    @shivijain2899 4 ปีที่แล้ว +1

    Why an=!0?

  • @manjulatasahoo3835
    @manjulatasahoo3835 4 ปีที่แล้ว

    How it is symmetrical about x axis?????

  • @malefetsaneshelile6614
    @malefetsaneshelile6614 16 วันที่ผ่านมา

    which book are using

  • @atherawan1898
    @atherawan1898 2 ปีที่แล้ว

    Sir which book you follow ?

  • @gorgetotwotwo3725
    @gorgetotwotwo3725 5 ปีที่แล้ว

    eugene helped to understand 1st line

  • @sportsuper9489
    @sportsuper9489 ปีที่แล้ว

    which is even signal bn =0 sir thanks

  • @vedanaikar5931
    @vedanaikar5931 6 ปีที่แล้ว

    How an is calculated? And how it is unequal to 0

  • @sandeepprajapati8718
    @sandeepprajapati8718 6 ปีที่แล้ว +3

    a0 and an not equal to zero
    bn equal to zero

  • @rafiausman9955
    @rafiausman9955 5 ปีที่แล้ว

    The signal is not symmetrical with y axis...and hence it is.a odd signal.so an should be eqaul.to zero.???

  • @MDSHOAIBURRAHMAN-qz4bg
    @MDSHOAIBURRAHMAN-qz4bg 3 ปีที่แล้ว +1

    a0 not equal to 0;
    an not equal to 0;
    bn equal to zeno;