Problems on Discrete Time Fourier Series _DTFS

In this video I have shown how to find the DTFS coefficients of a periodic discrete Time Signal .

[@diegoraian]

This is the best lecture I ever found on youtube! Really impressive now I feel prepare to do the oppenheim exercises. Congrats professor!

[@techjunkiejdb5476]

Diego Raian thank you 🙏🏻

[@s.saipavan8975]

The way you explain was so clear to understand, thank you

[@thecraftsman8083]

Your way of solving is appreciable!

[@devwratsahu8555]

paper kaisa gya bhai?

[@premakumari9073]

i have not commented for any channels, but your videos are very impressive and helped me alot.Thankyou so much sir god bless..

[@techjunkiejdb5476]

Thank you 😊 share it with people in need .

[@prabhanjanask6704]

This is the best channel for signals and systems. Thank you very much!

[@techjunkiejdb5476]

Thank you 😊

[@aniswara480]

I watched this 15 mins before a test on like 2x and I got 14/15 lamao this is where the cookies at.

[@techjunkiejdb5476]

aniswar lax lol. Thanks

[@jamestrujillo5195]

Thank you so much brother. You saved me before my final exam!!!

[@techjunkiejdb5476]

🤗 welcome

[@dz_]

Excellent video. 33:30-38:00 where you discuss DTFS saved me on my PSET. Subscribed

[@techjunkiejdb5476]

Deniz Sert thank you 🙏🏻

[@failbreak599]

Likely gonna pass DSP cause of your lectures my man. Keep doing what you're doing

[@techjunkiejdb5476]

Thanks

[@venkateshhutugur6752]

Tq sir .your teaching is excellent. I think no onebody teaching like this.and plz upload problems on ctfs

[@techjunkiejdb5476]

I have done already . Plz check

[@olivernardbagay318]

Thank you! Learned a lot, now I can answer my assignments.

[@techjunkiejdb5476]

Thank you 🙏🏻

[@shriharshachebbi946]

Very good examples solved ! Very informative in understanding the concept.

[@farhanaaz8964]

You have explained very much cleared up to mark😁thank you

[@arsrabon30]

Man most efficient lecture ever. Thanks a lot brother

[@techjunkiejdb5476]

Welcome

[@TusharKumar-iu4nt]

Thankyou sir for the amazing content you've put up!!! Covered all types of problems as well!!!!!

[@techjunkiejdb5476]

Welcome 🙏🏻 share it with people in need ✌🏻

[@vishnuvardhanreddy3943]

Thanks a lot man Professors skipped these parts in signals subject Had a tough time until i watched your session I'm pretty clear now😁👌✌️

[@techjunkiejdb5476]

Great ✌️

[@user-un8dr7ex9j]

nice, I'm Korean student. thank you for your video!

[@techjunkiejdb5476]

Welcome . Thanks from India 🇮🇳

[@tejaswinig9968]

Thankyou so much sir , it was very helpful . I got confidence on dtfs.

[@techjunkiejdb5476]

Welcome . All the best

[@tejaswinig9968]

@@techjunkiejdb5476 thank you, plz do more of this kind

[@techjunkiejdb5476]

@@tejaswinig9968 sure

[@MushtaqKhattakGamer]

Nice Informative Video. Keep It Up !!!

[@techjunkiejdb5476]

Thanks

[@abhinavpiyush4374]

Awesome job . Really helped a lot during exams .

[@techjunkiejdb5476]

Thanks

[@laxmihosamani1908]

Hu

[@skonertm9395]

saving us even 5 years later!

[@techjunkiejdb5476]

Welcome

[@clintshonde9964]

Man you've killed it

[@techjunkiejdb5476]

Thanks 😊

[@aditinanaware4329]

Thank you so much! 😊 Awesome explanation.

[@patson3910]

You're just AWESOME, THANKS A BILLION TIME

[@techjunkiejdb5476]

Thanks 😊

[@sampadakathar4673]

Clearly explained!!! So good.

[@techjunkiejdb5476]

Sampada Kathar thank you . Keep watching 🙂

[@ashishkapare1337]

explanation of every concept is very clear.Nice sir thank you

[@techjunkiejdb5476]

Ashish Kapare welcome 😊 share this to anyone in need ✌️

[@Lennymonkey]

This was really helpful. Thanks!

[@KhanSahab-hf1sx]

Greaat video and to the point👌👌👌

[@techjunkiejdb5476]

Khan Sahab thank you bhai

[@baitywahidiah8077]

sorry sir, can i know for example no 2, if the example = sin(4Pi/21) + cos(4Pi/21) both gonna have same k right? so for magnitude plot, do we suppose to add the magnitude of the both coefficients that we get from each sin and cos?

[@prarthanapurushotham1530]

This was helpfull thank you so much🙏🏻🙏🏻

[@techjunkiejdb5476]

Welcome 🙏🏻

[@sutarorem8297]

really good explanation !

[@techjunkiejdb5476]

Thanks

[@harikaharika6842]

Broo thank you sooo much ...this helped alottttt🤩

[@techjunkiejdb5476]

Welcome

[@laxmihosamani1908]

Nice sir it's good job prrfectly

[@techjunkiejdb5476]

Laxmi Hosamani thanks 🙏🏻

[@rodabaqurbani6888]

BEST VIDEO EVER!! THANK YOU :D

[@farhanaaz8964]

I really thank you😅😅Thankyou so much it Helped me aloot 😊

[@techjunkiejdb5476]

Glad !

[@farhanaaz8964]

Thank you again😊and there so no lti block diagram numericals solved here @@techjunkiejdb5476

[@techjunkiejdb5476]

@@farhanaaz8964 I will upload it soon . !

[@farhanaaz8964]

No thanks ..i have completed my exam yesterday .☺😊I really thank you sir for all your efforts .♥️☺...

[@farhanaaz8964]

Thank you again your explanation was awesome.☺@@techjunkiejdb5476

[@arjunks9479]

Thank you, sir, for such an understandable explanation.

[@techjunkiejdb5476]

arjun vichu welcome . Share it with ur friends 🤟🏻

[@yaswanttirumalasetti2940]

amazing teaching!!really helpful

[@techjunkiejdb5476]

yaswant tirumalasetti thank you 🙏🏻

[@MrRafay474]

Best Video... Keep it up

[@techjunkiejdb5476]

Thanks 😊

[@abilashshankarpalli9301]

Awesome explanation!!

[@markleskun6695]

Most excellent.

[@techjunkiejdb5476]

Thanks 😊 may I know which country are you from ?

[@abdi-azisabdirahman4787]

Teacher, is it π/4 or 3π/4 ? in the example 4: phase spectrum.

[@techjunkiejdb5476]

We should be taking positive value when its negative and vice versa by subtracting from pi .

[@sanketsingh8288]

life saving videos for semester exams

[@SINCHANGHOSALBEE]

thankyou sir tussi great ho!!!!!!

[@amjad6361]

Very helpful , Thanks a lot !

[@ziyafatshehzad1239]

yar good job ......very helpful

[@akankshashahade7800]

explained very well sir

[@techjunkiejdb5476]

Akanksha Shahade thanks 😊

[@lakshyakumarmeena1784]

Great work Thanks a lot 🤘

[@nahyongyi9735]

For your 3rd Question, at 23:18 the j suppose to be -j ?

[@techjunkiejdb5476]

I have taken -3 with j being positive . Just check

[@altuber99_athlete]

Many thanks. I read the textbook from Michael Roberts and from Alan Oppenheim et al., but the former doesn't have an example on DTFS, and the latter has but I didn't understand them.

[@techjunkiejdb5476]

Welcome

[@soniyamanoj7993]

Thank you sir for this best class.....♥️

[@techjunkiejdb5476]

Welcome . Share it with ur friends 🙌

[@SIET_LOHITH]

42:25 it is not -3pi/4 it is actually pi/4 becoz when we did tan^(-0.5/-0.5) it is pi/4 no?

[@techjunkiejdb5476]

I will check

[@not_understandable_character]

Thank u so much sir..

[@abdi-azisabdirahman4787]

Five years later it is powerful still.

[@techjunkiejdb5476]

Thanks :)

[@DeepPatel-xp4bd]

It felt like an eye checkup since the focus of the camera kept varying. But the content was precise and upto the mark

[@techjunkiejdb5476]

I just saved ur opthomologists fee 😆

[@madhumalkhed1267]

You teach amazing, can you please make more dsp videos pleaseee sir. I have hopes to pass beacuse of you sir,pleaseee.

[@techjunkiejdb5476]

Welcome 🙏🏻 will try to make more videos

[@aronedeshpande9647]

Hello sir in the last problem I am getting phase difference as (- pi)/4

[@techjunkiejdb5476]

It is pi - (pi/4) . A positive quantity .

[@smitamuttin8528]

Awesome bro... Thanks a lot...

[@lavanyagowda4267]

Thank you , it was helpful for me

[@techjunkiejdb5476]

Glad !

[@mukkerakarthik7859]

Good explanation bro

[@ammarkhn6920]

20:49 Sir here, why can't we just write 2π/N in place of Ω and solve it for N?

[@techjunkiejdb5476]

There is a phase shift of pi/6 which can’t be ignored

[@NostalgiaT]

You're amazing!!

[@NostalgiaT]

For the last qs, ur N = 4 but what if u get N = 5, u won't get nice angles. what do u do there

[@techjunkiejdb5476]

It will be finding cos and sine values for 72 degrees.

[@sripradhaiyengar9980]

thanks! was really helpful:)

[@NewYorkeez]

Me before watching this:😰😞😱😱😪 Me after watching this:😇💪💪😁😎😎🔥👍💡👍😁🥋🤴

[@techjunkiejdb5476]

Yves Chanel great 👍

[@sialeeMK]

Could you check again between DFS = 1/N... or IDFS = 1/N... in my book is IDFS = 1/N and DFS is none 1/N but on your youtube is DFS = 1/N

[@sairacha586]

Excellent lecturer

[@techjunkiejdb5476]

Thanks

[@sreenathak6355]

In the summation how is it from 0 to 3 Here N = 4 so it should be from 0 to 4. But in the summation you have substituted 0 to 3 please explain at 33:25

[@techjunkiejdb5476]

It’s over a entire period . It can be any value for a particular interval

[@subasmuhammad1220]

Sir, in the 2nd problem shouldnt x(0) be 2? because if you substitute 0 in x(n) the sine terms are cancelled and 1/2 1/2 gets added and there is another 1 which adds up to 2. Kindly correct me if i am wrong.

[@techjunkiejdb5476]

Subas Muhammad u can’t directly substitute on x(n) equation . It has to be compared with standard DTFS equation coefficient . That’s what I have done .

[@arm_irfirdaus7262]

Thank you so much

[@techjunkiejdb5476]

Welcome

[@ameyfadte5016]

What is the use of k in the exponent of e? Final answer .problem 4 u have used n in place of k right?

[@techjunkiejdb5476]

Check this kzbin.info/www/bejne/iYqTiZyVrb55mbs There are two formulae . Please check . Here initial problems we have used comparison method . In the 4th problem we have used normal method . Because we can't use the comparison method . Since the expression can't be converted in exponential form 😊

[@손성민-n7e]

you are the fxckin genius i love youuuuuuu

[@maartenvanamsterdam1194]

very helpfull, thank you!

[@divyeshsankhla4711]

Awesome man! Can i get help when needed?(in image processing)

[@techjunkiejdb5476]

I don't have much exposure in image processing. Still I can try .

[@sammyilesanmi2738]

Helpful. Thanks

[@Sanakhan-sr2ub]

Outstanding sir

[@techjunkiejdb5476]

Sana khan thank you 😊

[@bhupathinaidu8953]

Nice job

[@AliAhmad-ki2po]

Can we divide by pi/21 instead of 2pi/21?

[@techjunkiejdb5476]

No, we are taking GCD of the two frequencies .

[@nehalabdelkader3911]

THANK YOU!

[@shayansohail9553]

Thanks alot

[@techjunkiejdb5476]

Shayan Sohail welcome

[@altuber99_athlete]

@ 42:30 The phase of X(2) is pi rad, not 0.

[@techjunkiejdb5476]

How ?

[@altuber99_athlete]

@@techjunkiejdb5476 X(2) = -0.5 Although it's true it's a real number, remember a positive real number is in the positive real axis and thus has an angle of 0° = 0 rad, while a negative real number is in the negative real axis and thus has an angel of 180° = pi rad. Great video!

[@techjunkiejdb5476]

@@altuber99_athlete yes . I agree . Thanks for the update .

[@ananyahr8958]

Very helpful :)

[@techjunkiejdb5476]

ananya hr 😊

[@Rock-ub4fk]

-0.5-0.5j Tan inverse of 0.5/0.5= π/4 How to get 3π/4 pls tell

[@techjunkiejdb5476]

Please check again . -0.5+0.5j the phase is 3pi/4. Because u get -pi/4 . When u do pi-pi/4 you get 3Pi/4

[@sitiumairahshuhaimi7827]

Can i know how to get cos^-1 (infinity) = pi/2...??? Then how u get the last question phase - pi/4 until the answer became 3pi/4

[@srinathv7097]

sir in the third sum omega o is wrongly explained ! isn't it?

[@techjunkiejdb5476]

SRINATH V no it's right. The other value is the phase shift . Not the phase 😊

[@umairjavaid9117]

Awsome😍

[@anujithsureshkumar9004]

great😍

[@NostalgiaT]

what if they give u this as qs, x[n] = cos((7pi/3)n) + 2sin((pi/6)n), im so lost how to solve this

[@techjunkiejdb5476]

Check my second problem in this video .

[@NostalgiaT]

Techjunkie Jdb but that had same denominator value and u can factor out to make it in form of 2pi but this one is diff :(

[@techjunkiejdb5476]

@@NostalgiaT gcd is pi/6 . So N=12

[@NostalgiaT]

@@techjunkiejdb5476 okay, so for magnitude i got x(1) = 1/j, x(-1) = -1/j, x(7)=1/2,x(-7)=1/2 . is that correct sir?

[@techjunkiejdb5476]

@@NostalgiaT I need to check

[@ashajyothidonga7895]

THOPE explaining 👏👏👏

[@techjunkiejdb5476]

ASHA JYOTHI DONGA thanks

[@surakshaacharyaks8672]

Please upload more videos brother.

[@techjunkiejdb5476]

Definately

[@subbareddybana4794]

Change your thumbnail...this will let many to come here and get clarification on Fourier series by solving problems

[@techjunkiejdb5476]

bana subbareddy sure

[@hari-sn5jj]

Tq 🙇‍♂️🙇‍♂️🙇‍♂️❣

[@techjunkiejdb5476]

Welcome 🙏🏻

[@vikramchaudhary8693]

excellent

[@techjunkiejdb5476]

vikkky singh thank you 😊

[@onkardhaigude5253]

In the last question can't we take the phases as -pi/4 and pi/4?

[@alisherakbarov5123]

guess no, as it gives the same answers with 3p/4=-1; (-pi/4=-1) and -3pi/4=1 (pi/4=1).

[@madhunp7550]

Super

[@tahirdevlog2047]

my teacher at university should be fired and u gotta be teach us this stuffs.thank you sir

[@techjunkiejdb5476]

Thanks buddy 👍

[@engahmedomar5807]

can u give the names of sources of DSP

[@techjunkiejdb5476]

I dint get u :(

[@ms06241]

Tqsm sir💗...

[@toppoint360]

Hi h(t)=(-1/2)^t. u(t+1) It's stable ?!

[@bangladeshonlineinstitute]

Tnx sir

[@vanihs8216]

tq sir

[@edwindayanaldanamunoz8818]

hola y como seria cuando es un cos^2(π*n/8)

[@techjunkiejdb5476]

Can u translate