Lecture 19 | The Fourier Transforms and its Applications

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood demonstrates aliasing by showing the class what happens when you under sample music.

The Fourier transform is a tool for solving physical problems. In this course the emphasis is on relating the theoretical principles to solving practical engineering and science problems.
Complete Playlist for the Course:
http://www.youtube.com/view_play_list?p=B24BC7956EE040CD

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

Stanford University Channel on YouTube:
http://www.youtube.com/stanford

Category:

Education

Tags:

• Electrical
• engineering
• computers
• math
• physics
• formulas
• geometry
• algebra
• calculus
• technology
• functions
• linear
• operations
• sin
• cosin
• Fourier
• transformations
• series
• spinning
• fan
• under
• sample
• music
• digital
• bandwidth
• discrete

[web2Wchristian]

again, such a wonderful presentationof this material! Incredible!!!

[gurghet]

@Username93611 «He teaches a course talking about the Fourier transform, and he doesn't know the sampling rate of an audio CD?» Why do you think it’s so important? It’s just a “fun fact”.

[gurghet]

@Username93611 oh wait, now i know it, i accidentally 44.1khz. i hope i can forget it soon.

[Username93611]

@gurghet

I wish you much luck. It sounds like you'll need it.

[gurghet]

@Username93611 i don’t know it, I’m a computer engineer.

[Username93611]

@gurghet

It speaks to ethos and authority. I had a teacher for a programing class in college. He didn't know what 2 * 128 was off the cuff. He teaches programming. The science of writing algorithms for binary computers. Binary... 2... powers of 2 come up.

That, and I think everyone knows what the sample rate of a CD is. It's trivial crap you find out from playing an .mp3 file. Which, by the way, is one of the primary applications of the discrete Fourier transform! Audio on computers.

[Username93611]

@ITGProphet

Good, then we agree anonymous internet person. I wish you moderate luck, with a side-order of puzzlement.

[ITGProphet]

@Username93611 I guess you right that he really should have done his research before making a claim about the sampling rate of a CD. However, I still think that that is a minor imperfection when compared to the quality of the rest of his lecture(s).

I agree with you, that his handwriting is quite bad, but i find that he really only writes his words (i.e. the English behind the mathematics), and his actual formulae are fine, which is the most important.

[Username93611]

@ITGProphet

I was not referring to the mathematics being simple. I was referring to him belaboring very simple facts, not knowing some basic facts unrelated to the math but yet talking about them. E.g. He teaches a course talking about the Fourier transform, and he doesn't know the sampling rate of an audio CD? He makes claims about the origin of the 44.1khz number without knowing?

Also, his handwriting on the board is illegible to the point of pointlessness. Use a projector and slides...

[ITGProphet]

@Username93611 Do you really feel this way? I think that he is excited and enthusiastic about the course material, which is wonderful. I think he spends the proper amount of time, as the subject is quite complicated. The reason that you think it's simple, is because of the way he explains it, which is a mark of his excellent teaching.

[Username93611]

@web2Wchristian

Really? This seemed like an arrogant, unprepared, constantly self-correcting, typical Ivy league professor spending about five times the necessary length of time explaining something very simple to me.