Lecture 4 | The Fourier Transforms and its Applications

[NganaJHone]

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[Ondelendo]

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[bebeheuy]

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[willamricard]

Nice Video That You Share , So Very Nice Thanks You Lecture 4 | The Fourier Transforms and its Applications

[imegatrone]

I Really Like The Video From Your Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications

[bundawartini]

Your Video Professor Osgood wraps up the theoretical aspects of the Fourier Series, an application to heat flow. Is Very Useful Sharing

[anakmudajaman]

after i watched this video, my insight is very open because the video is very good to give information Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications

[Extractor502]

Stanford supplies nice chalk.

[grunder20]

fascinating lecture!

[Alphatauri12]

Bill Gate's twin brother :P

[iBradleyAllen]

if f(t) is periodic we want to write with some confidence that f(t) is equal to its fourier series, from k -inf to inf, f hat ^ of k, e to the 2 pi i, kt;

but he wrote it wrong, f^(t) and said it right, f^(k) (someone catches it dont worry)

fourier coefficient definition it is the integral from zero to 1 of e -[-2pi

i kt] f(t)dt,

any small lack of smoothness in the function forces an infinite sum

[imatunisian]

i wanna shoot my teacher ..

[sgate]

hehe He talks like Jeff Goldblum

[lusher00]

@gomunkul Are you telling me you couldn't find them? I did a Google search for "ee 261 lecture notes by prof. brad osgood" and clicked on the first link. On the left I clicked on course reader and then I did a right click save as on "course reader" and I have the whole thing. No password was ever requested. You think I would be so "smug" without checking to make sure it worked first? Maybe call Best Buy and get The Geek Squad over?

[shrutikapoor08]

@lusher00 wow so rude!

[thecoolster28]

@shrutikapoor08 you're a towel

[shrutikapoor08]

@thecoolster28 ur mom is a towel. and i use her every night

[thecoolster28]

@shrutikapoor08 you're mother is your father

[lusher00]

Youtube doesn't like it when you post links apparently. In fact it wont even let you write 3 w's in a row. so add three w's to the lmgtfy link and you will have the notes.

[lusher00]

What does it say about the person who is watching a lecture on the Fourier transform but can't find the notes? I never miss an opportunity to do this...

lmgtfy.com/?q=EE+261+Lecture+N­otes+by+Prof.+Brad+Osgood

[gomunkul]

@lusher00 the lecture notes on the course` website are protected by a password, you smug bastard.

[stxma10]

Same questions as below, is there anyway for non-stanford people to get the notes?

[mikemarachov]

Professor Osgood says "It is in the notes" where can I get this notes?

[ilianko2]

The orthogonality should be explained even in the first lecture. We can draw only three dimensions on paper to describe the space, but the reality is multi dimensional.

For example we can imagine that in old style programming we have used three dimensions: Integer character Boolean. The orthogonal functions have no common information. We assume that integers cannot be described with characters. Then the object oriented programming came ( car->speed, car->color)

[ilianko2]

Then if the space is class we add one more dimension with every new method in the class.

The functions sin(omega*t), sin(omega*t*2), sin(omega*t*4), sin(omega*t*8) are orthogonal. We can describe as many dimensions as we want, if we want exact and finer description we use more dimensions.

For example, in case of some signals like audio and mp3. Mp3 converts the signal in sinuous dimensions. If we want better quality mp3, we use more dimension and the bit rate goes high.

[ilianko2]

(3) In the mp3 we record the value of each dimension, the coefficient in front of the sinuous function.

[666modac1]

Best thing about Prof. Osgood: He knows the difference between making a thing work on paper and really being able to use it! Way too many teachers don't (or can't) do that.

[acancalan]

@666modac1 Exactly ! Foot notes are very important to fix the whole underlying thought behind all the mathematical jumbling.It makes more easy to follow and understand.

[cyberkotatsu]

Osgood is very good, the fourier series which seems very difficult to manipulate and understand becomes a manageable object with his notes.

[LifeIzBeautiful10]

Can you please tell me how I can collect the course notes? I am not a Stanford student.

Thanks for your help.

[XboxTheBeatboxer]

@LifeIzBeautiful10 if you look in the video description, there is a download button. Furthermore, Stanford may have a section its webstie from which you can download everything. Also, even if there was no download link, youcould go to keepvid dot com and type in the url of the video and download it. Hope this helps. Cheers.

[imfrancisd]

I really liked his comments about reasoning by analogy from 23:43-25:23. I'll probably never understand this series of lectures, but I understood that. Cool. Way cool. Infinitely cool. So cool.

[alquiora]

What a genius analysis that each exponential is a basis vector. Should have realized this the first time he writes down the fourier series in lecture 2.

[samlyonfr]

absolutely passionating professor!

[joeybenn]

Does anyone know what book is used for this class?

[knighttango]

ha ha...he mimics well...

[kevinatucla]

I hated one thing about all my math teachers from 8th grade on. Show us how we can use the damn thing in real life!!! I find it soooooooo satisfying when teachers show us...or atleast tell us when and how we will use this in real life. What made fourier come up with this? I mean people have reasons for thinking about stuff and is usually to slove something. As much as I like this teacher I wish he told us why we need this, in what concrete way would we apply this. So far he hasn't even hinted.

[yousuftafhim]

@kevinatucla fourier introduced this formula to solve heat equation and it is used to break complex periodic functons into sums of sines and cosines

[system0system0]

Now thats how you explain something to someone .

By knowing

[joanfi2]

At the risk of getting lots of negative feedback I don't think this guy is as good as my lecturers at Cambridge University in the UK. I mean, he writes too much, like he is taking notes on his own lecture! And, he is really dismissive of students' questions.

[LabanHicham]

I completely agree with you

[kevinatucla]

that's his style. It takes some time to get used to it. He just writes one sentence per board, looks like waste of time. and he writes everything down in complete sentences...it can be a good or bad thing.

[joanfi2]

Maybe so...

[luzzie9]

If Osgood and Susskind are examples of teaching at Stanford then those students are really getting their money's worth.

[paulgnr]

This guy knows his shit. Great teacher and lecturer. Thanks for sharing.

[mrwannaknowmore]

I WISH, I really WISH my teacher was like this guy. excellent, expansive, and complete within the context of hte lectures.

[tengyang2001]

Brilliant teacher.

[xinliw]

this is the first time for me to know Fourier series in the projection point view, I like it!

Very fasinating~

[411sponge]

Excellent job once again! Unfortunately, my book uses ZERO complex exponentials in using Fourier series.. :^( This makes soo much more sence than still using all of these blasted sin and cos!! :)

[gspot911]

we can't visualize the orthogonality of exps...

grrrrrrrrrrrrrr

u break my heart

[mremile72]

brilliant