Fourier Transform...

[Sable Fire]

Soooooo... does anyone know how to solve this?

 

[Printer Bandit]

 

[Sable Fire]

 

[JManInPhoenix]

42

 

[Harvey]

I've forgotten most of my calculus, but it strikes me that the integal of all values from -∞ to +∞ (following the = sign) would be a big fat zero, and that is multiplied by the rest of the expression so I'd surmise that the answer is 0.

42

Ah, yes! The answer to the Ultimate Question of Life, the Universe, and Everything. However, that isn't the problem posed by the equation. :biggrin:

 

[DrPizza]

I haven't done Fourier transforms in years. This might get you started though: http://mathworld.wolfram.com/FourierTransform.html

 

[DrPizza]

"Now the nature of this presentation is extremely elementary." https://www.youtube.com/watch?v=WcNPUXfxCXA
Fourier transforms.

edit: it all came back; he does a pretty good job.

 

[drinkmorejava]

The formula you gave is the definition of a Fourier Transform. You'll want something like these tables to convert your specific f(x)...and maybe a good mathbook. Wiki is pretty useless

http://uspas.fnal.gov/materials/11ODU/FourierTransformPairs.pdf

 

[disappoint]

I was told there would be no maths.

Furthermore I was told that if there were to be maths that there would at leaast be a specific question rather than: "Can anyone solve this?" Which is about as useful a question as "Has anyone seen the color blue?"

Yes, yes someone can.

 

[TridenT]

If you specify f(x), yes.

If you ask me how to do a fast fourier transform... D:... yes... :thumbsdown::thumbsdown:

 

[Printer Bandit]

Go to khan academy

 

[Schmide]

Solving it, while a good exercise in futility, is cool. Understanding the nuances that go along with it is a whole other can o worms. I've studied it, programmed it, and applied it a fair amount. Here are some cool works on it.

http://madebyevan.com/dft/ <- dude is amazing at JS (and programming in general)
http://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/ <- prob the best explanation of it
http://www.cmlab.csie.ntu.edu.tw/cml/dsp/training/coding/transform/fft.html <- very good technical paper
http://www.katjaas.nl/FFTimplement/FFTimplement.html <- dispite the ugly font amazing perspective
http://www.zytrax.com/tech/audio/equalization.html#fft <- good tables and such as well as applications to audio.

 

[Fayd]

used em in differential equations.

 

[postmortemIA]

I remember FFTs
Never used them in real life work

They say you use 10% of what you learn in college

It is actually closer to 0%

 

[disappoint]

I remember FFTs
Never used them in real life work

They say you use 10% of what you learn in college

It is actually closer to 0%

haha wait until today's kids take common core, what they will use will be in the negative. In other words, they will have to unlearn what they "learned".

 

[slugg]

I'm an image and signal processing expert. If you need real, non-ATOT help, PM me.

Edit: okay, so by academic standards, I'm not an expert; I quit grad school and don't have a PhD. But I do implement FT all the time. Pretty basic once you understand that it's just some function that "converts" one domain (spatial) to another (frequency). The magic in between is mainly declarative, hence the calculus. If you're actually implementing the thing in a real-world application, the discrete Fourier transform is just a bunch of arithmetic. Not too bad.

 

[videogames101]

thats the formula for the continous time fourier transform, solving for a specific f(x) by hand is annoying if not impossible in many cases, for basic cases you can do it otherwise use a table or a computer

<-- in a signals and systems class this semester

 

[Sable Fire]

thats the formula for the continous time fourier transform, solving for a specific f(x) by hand is annoying if not impossible in many cases, for basic cases you can do it otherwise use a table or a computer

<-- in a signals and systems class this semester

Videogames101 in a signals and system class? who would've guessed?