Trigonometric Fourier Series (Example 1)

[@theronwebber1024]

These videos are saving my butt right now. This is by far the best series on applied Fourier mathematics that I've found on the Internet. The OpenMIT videos by Professor Oppenheim who wrote the book on signals doesn't even hold a candle to how easily you're able to describe these topics to the layman student. Thank you for this pot of gold! ❤🎓

[@mustafanaser9789]

Thanks from Germany! :)

[@AquaLifebygauravkumar]

Sir your explantion us better than my collage professor they only rush in class they dont teach the basic one and this lead more difficut to understand the topic thnxx sir for creating this channel

[@mainkordormawblei]

integration of cos(zt) w.r.t dt is 1/z*sin(zt). which is way simpler than changing the limits

[@Tammy-mq9ng]

so in the end you substitute z with n*pi/2, is that what you mean?

[@shubhamtiwari9611]

​@@Tammy-mq9ngyes exactly

[@m.hareni11stdbio-comp95]

Omg what a lecture Sir , your lectures are beyond perfection... it's a gift for every engineering student . Thank you from the bottom of my heart . 🙏🙏🙏👌👌

[@cyanide5188]

This makes me wanna leave engineering

[@potatoguy8390]

why? its one of those beautiful creation that mankind ever made

[@KabooM1067]

Probably not a bad choice... Engineers are paid horribly nowadays (depending on where you live though).

[@KabooM1067]

Tbh though he kinda overcomplicates it a bit here. When finding "an" there was no need to explain when it's 1,5,9 or 3,7,11 etc... Just by substitution into a calculator you can find if it's positive or negative.

[@johanl7477]

You just increased my salary thanks kid

[@sketch1625]

@@johanl7477 what a confident young man. You get a cookie for your hard work

[@SillyLittleMe]

Very detailed and essy to understand way of explanation. It also helped to brush up my old concepts of trigonometry as well. Fabulous series to say the least from the best teacher

[@gokenriba08]

U are an angle n savior sent by God..ty so much..ur videos are really helpful.. because of u I could clear my Digital well.. looking forward for more videos 😊

[@calebadobah641]

Yhhh he is best theta ever😂

[@loreoyedele4468]

From the bottom of my heart thank you sir!!!!

[@mohammedalfaifi8165]

Final Expression: x(t) = (4/pi) * sigma { [ ( [-1]^[n+1] ) / (2n-1) ] * cos( [2n-1] / 2) * pi * t }

[@saurabhkumarjha4996]

at 17:54, before you are converting sin(3n pi / 2) to -sinn pi / 2 you made a mistake in putting odd value 1.....check it

[@antonsonj4995]

Thanks from a current IIT Electrical Engineering Student! You teach so awesome!!! Better than all our profs! Thank you sir ☺

[@niteshchaudhary8052]

hi bhaiya, actually m not able to understand signals and systems , please bhaiya can u pls pls help me in my mid sem ,

[@v_stechgamer7725]

Plz can u help.me to understand signal.and system urgent bro

[@alien77333]

@@v_stechgamer7725 help kiya kya?

[@andreasefstathiou9357]

This is so damn easy at last, high school math teachers suck so bad that trigonometry was the problem following all along college. Thank you for showing the concepts in a so simple way!

[@valentinanongthombam3810]

Yesss

[@subhadeepgupta571]

very good channel for electronics

[@MatheusSilva-dragon]

Phew! That was long, but really productive! Thanks a lot! I've learned a lot!

[@theoracle4224]

Thank you form India

[@ashokbanjara6323]

Explained very well Sir good job

[@vakhariyajay2224]

Thank you very much. You are a genius. 👍👍👌👌🙏🙏🔝🔝

[@Bhaskar5554]

It is really good explanation ....sir ......plzzzz upload more video .....for gate ....

[@adeebabdultaher9721]

Sir, why did we have to change the integrating variable to theta from "t", we could've proceeded directly and arrive at the same result. at 8:12

[@ahmetpehlivan3698]

if you find out, can you please tell the reason ?

[@sahithipattem6151]

@@ahmetpehlivan3698 just substitute corresponding values

[@anushakommu5177]

The solving this integration will be simple if we are substituting as t

[@nitinkamra8972]

wow amazing...sir thanku soo much.

[@parush5381]

bestest explaination god bless sir😊😊😊😊

[@derangulasaikumar64]

Good job brother

[@renukaverma5752]

Thank u so much sir ...ur way of explaination is very good 😊

[@sushantshukla6673]

Good and detailed explanation

[@xXMaDGaMeR]

there seems to be a big need for good understanding of trigonometry, any recommendation of series / books / lectures to get better understanding of how you switch around and manipulate the sins / cos, everything was very excellently explained, but the trig was a bit confusing.

[@nettrikan6333]

Thanks from kailasa ....

[@mohitzen]

I'd have stucked after the case when n=odd. Thanks.

[@mahjoubahmed1287]

Thank you very much

[@saketsamrat5038]

Happy Teacher's day sir

[@ronniewhyrick]

i don't understand how you know that when n=even that sin(3*pi*n/2) that you know it's in the first quadrant literally plug any value in for 'n' and you'll see that's not the case. n =2 makes sin(3*pi) -- not in the first quadrant, wtf.

[@Hiyori___]

he does not say that sin(3*pi*n/2) is in the first quadrant. He says that if you add something to sin(n*pi) which is always 360, you end up in the first quadrant where sin values are positive. From that he gets a positive sin(n*pi/2) equivalent to sin(3*pi*n/2). In fact if n=2: sin(3*pi*n/2) becomes sin(3*pi)=sin(180°) sin(n*pi/2) becomes sin(pi)=sin(180°)

[@mohanvamsi1180]

This is making a lot of difference from what I just learned from my textbook also see the book B.P LATHI so that you can make sure you make the video in the perspective of this textbook.

[@Hiyori___]

that trigonometry ratios explanation was very helpful

[@sahabtareq]

idk why i picked engineering tbh

[@khoanguyen-ej9md]

Me too, i both love and hate this major 😢

[@Ssathudharu]

​@@khoanguyen-ej9md me 2

[@waleedabdelghany600]

thank u sir

[@ranjansrivastava4455]

thanks very informative.

[@vinaychindam880]

crystal clear

[@armanharis6594]

Kl exm h r aj pta chla k ye sb pdhna h...

[@jayeshkulkarni226]

Could have solved in much simple way

[@jaanvi25]

Signal is unsymmetrical about x axis. How come a0 is 0 then? Please explain

[@roushansingh9936]

LOved tHIS!!

[@karanamgopi]

excellent

[@sreejithsuresh2543]

Sir can we also take the half wave symmetry of the signal as it is not even nor odd.

[@vijetasarswat9610]

Thanks for the new vedio

[@ansie8729]

video*

[@jushas9276]

what a big problem it is! the lecture is really good

[@-JKalyan-xc1nx]

Very nice explanation sir super....

[@SandeepKumar-up9bp]

sir could u plz tell me y we r taken 2 types of odd numbers i.e n=1,5,9,13 and another one is n=3,7,11,15 ?

[@zaidizawawi5033]

Based on even and odd

[@engineer3961]

for n = 1,5,9.... ----> sin (pi/2)n = +1 for n = 3,7,11... ----> sin (pi/2)n = -1

[@fabien20]

And also different types of functions

[@humzaali7583]

why does sin changes to cosine when we plus or minus it from 90 or 270 degree ? 17:03

[@udyanabha1908]

Please make such videos on op-amp please please please

[@thetruth9923]

hey first of all thanks for the video... can u show how to flip the signal on Y axis by pictorial representation...i m stuck at the flipping ...not understanding the flipping thing..

[@sagarraj4521]

Superb sir

[@auhontussh]

Actually this could be solved in much smaller way but i think he followed the general way

[@stylingandfitnessingwithty2713]

16:54 why did that come to sinnπ/2

[@Hiyori___]

because if n is even (2,4,6...) sin(nπ) is always "equal" to 360° where value of sine is 0. So the nπ goes away because it always provide a value of sine equal to 0.

[@PardeepSingh-wj8lc]

Best video

[@JL-bc6zl]

if we use sin(npi/2)=(-1^n) and sin (3npi/2)=(-1^n) for when n is odd, is it ok?

[@hari8568]

Sir this function is both even and odd? Only fx=0 is a function which satisfies this condition right

[@ramasaleh5702]

how did u find that To=4sec & other...

[@antoine1407]

is it a rectangular or square signal?

[@antoine1407]

I guess it's a wave even signal

[@haribabureddy1173]

Thank u so much upload videos as early as possible

[@PasanJayaweeraYashoda]

im mr meeseeks! this is me!

[@bishalghoshb3412]

Thanx & PLS UPLOAD MORE VIDEO

[@anubhavbansal4003]

Your voice is very similar with code with harry

[@sachinjainwar8293]

sir i need your notes . please tel me how can i get ? very needy

[@yash1152]

> _"Trigonometric Fourier Series"_ are there non-trigonometric fourier series too??

[@ahmetkoraysonal5841]

firstly thank you for your courses.I have a question.Can we make a generalization like this?If our function is even, it consists of single harmonics or single function consists of double harmonics can we say?

[@Borz091]

Might be a little late, but if the function is even, it contains only cosine harmonics, if a function is odd, it contains only sine harmonics

[@krishnenducgec7195]

Thank you very much for this lecture... but can you say why "sin(3*n*pi/2)=-sin(n*pi/2) for n=odd.???? please give me reply...

[@easybreezy3913]

Sin3pi/2=sin(pi+pi/2) which lies in 3rd quadrant (in 3rd quadrant sin is _ve )sin(pi+thetha)=-sin(theta)

[@hycienthemmanuel9857]

Firstly, the signal is equally symmetrical along the vertical axis, making an=0 as well. Somebody please enlighten me 🤔

[@anikatabassumshabiha3351]

Isn’t the signal is odd signal?? As x(-t) = x(t) Therefore signal is odd.. How it becomes even? Please let me know.. Thank you..

[@anubhavrauniyar3192]

Put x=-1 and x=1 We Get 1, satisfy property of even signal........Just Think about cosine function in trignometry

[@mehulkumar1110]

If a function is symmetric along Y - axis (here 'x' i.e signal), then it's an even function which implies that x(-t) = x(t), and if the function is invertly symmetrical, then it's an odd function which implies that x(-t) = -x(t). For further clarification, you can check the graph of an even function and an odd function. Thank You.

[@sagelioneldsouza8230]

Dear sir, In m3 degree, according to what I've learned, whenever the function is even, only bn gets cancelled, how does the average time of every cycle, determines a0?

[@wilbowednesday1417]

The amplitude (1) and time duration ( 2 seconds) of the signal below and above the x-axis are equal so the average is 0. You can calculate the D.C coefficient but it will only confirm your inspection that Ao = 0

[@sagelioneldsouza8230]

Wilbo Wednesday ooh.. So if suppose A0 is equal to average time, what are an and bn?.. I know its a vague question but asking just to clarify ``\_('u') _/``

[@anishkumar2074]

even signal consists of Ao &An and Bn=0, so this statement is contradicting witht the above statement .....and we know that cosine signal have both Ao and An terms in it(Wilbo Wednesday ) and cosine signal is similar to the above mentioned signal in a some way

[@neekuenduku]

The area under the curve x(t) for a particular time period represents the average which is nothing but dc value of wave

[@SPIDEY_X_GAMING-i3v]

Veer Ji waheguru ji ki fateh ji ki fateh

[@SPIDEY_X_GAMING-i3v]

Sorry veere disturb karn lai

[@SPIDEY_X_GAMING-i3v]

Mathematics kamm aon ge...veere links send Karn lai thanks ...appa lodd Penn te video jarur dekhage

[@bhaskarchakraborty8328]

Why you are taking asuffix0 0 we are even symmetry and don't consider ao-0 in even symmetry.

[@oggamer2244]

Shouldn't a(1)=2/pie? Plz help

[@muhammadibnwahid6405]

Why didn't you put values of cosines in the final expression? cos of pi/2 is 0 and other terms of cosines are also zero in the final expression.

[@roshansavalapurapu8154]

superrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

[@urmyakhter7210]

Sir..i want to see practice problm 17.1

[@ninadthite3243]

Quadrants explanation for sin(- nπ) 🙌🙌🙌

[@Paradox-ii5ol]

Sir please Upload Fourier and Laplace concepts ASAP.....

[@samiyainsramkhan8665]

didn't got the concept of how a0 became zero plz explain ,how area cancellation made it zero?

[@aaqibbhat7500]

samiya murtuza a0 is average value and here average value(area under time period) is zero because +ve and -ve cycle will get cancelled

[@جناتالنعيم-خ5ع]

sir how can you take common 2/npi it represents angle not value

[@sowjanyadevi6132]

No . He did that problem in another method ( substitution) its correct ans . In anther method without substitute applying direct integration it represents angle

[@sowjanyadevi6132]

In this method 2/ npi represents a value

[@P3RYYY]

In my book time period is from -3 to 3 but the time period is -1 to 3 i am confused

[@myselfSrijit]

you are god

[@iremozgoren742]

allahım sen anadili türkçe olup anlamaya çalışanlarında rabbisin :(

[@OuttaSyllabus]

HOLY HELL!!! You are an awesome teacher!!! but....... but..... Fourier :\

[@madhavkhindri2817]

Isn't that cos (nπ/2) = 0 for odd values of n?

[@hayaalmansoori5905]

YESSS, i didnt get it, cuz the answer doesnt make any sense cuz all the cosines gonna be zero

[@nissyvivek87]

Watch in 2X to save your time.

[@AbdulKader-mj8yl]

I am still confused , what is relation with electrical engineering of those math? I hate communication Engineering part.

[@MohammadMomin]

Bro maths se kab tak bhaagoge

[@chisomodimmegwa3479]

Very complex long method, could have just used the regular limit instead of changing it, now I'm just confused

[@vrahulveeravelli3898]

You'll get the same even if you use the same limits

[@victorvas3864]

Hi, thanks a lot for your work ! cos(n*pi*t/2) ----primitive---> 2/(n*pi) * sin(n*pi*t/2) would work too instead of the theta trick no ?

[@Unpoplr_opinions]

Neso you almost gave me a heart attack with your explanation but anyways thanks for teaching this course

[@syedwaleedahmedshah8089]

how come an didnt become zero?? integrals were canceling each other

[@Alex-rv8gw]

16:18 how can the sin 3npi/2 become sin npi +npi/2 ?????????????????????

[@iFullofTechHD]

by separating the equation like shown below, they both mean the same thing 2 (npi) npi 3(npi) -- * ------ + ------ = ------- 2 (1) 2 2

[@Showroomkadalal1203]

12;49

[@anujaiswal4994]

Plz power amplifier v padha do

[@fabien20]

I need domain and range of function

[@miscvideos8201]

You went too complicated.

[@mohdabdulkhader457]

What we will get by doing this.... Just a common sense question

[@bhargavirobbi1807]

Can u please upload lectures for communication systems also?

[@sohaibalam786]

Bhai proof hai iska ??

[@sujitsharma5158]

what are half range and full range fourier series.....the expression/ formula is a bit different in my book