prof_braino

11-20-2010, 06:00 PM

Bean gave us CODRIC for dummies

http://forums.parallax.com/showthread.php?t=127241&page=2

and discussion arose of the need for Fourier for dummies.

Rather than punish Bean for his good work, it was suggested (by me) that the rest of us work together to create something using Bean as inspiration.

Heater can't see this working (blind leading the blind and all), so now it is a challenge, and the result will be decided by whether he or I or anybody else can claim to have gained an understanding of Fourier when work stops.

If somebody that already has a clear understanding of Fourier

could point out when we've gone wrong, that would be appreciated.

Otherwise, any interested party can post/contribute.

Bean's format looks like this to me:

a) one sentence high level explanation

b) first basic concept

c) example of first basic concept

d) next concept

e) example combining concepts

f) mostly integers

g) long strings of float only used when we are showing how we get rid of them:

"So what angle would give us Tan(Angle) = 0.500.

It turns out to be 26.56505118.

Now this isn’t exactly half of 45, but it doesn’t really matter.

As long as it is smaller than 45 and larger than or equal to 22.5 it will work."

I believe this last is the "magic".

So let's get started. There are a couple different places to start:

The whole idea is that a periodic function might be broken down into simpler components. Is this correct?

For example, a violin note might broken into constituent triangle and saw-tooth waves of different frequencies; Or a voice might be broken into constituent wave forms and the composition changes over time.

Edit: The goal - to understand this Fourier thing and how to use it on the prop.

http://forums.parallax.com/showthread.php?t=127241&page=2

and discussion arose of the need for Fourier for dummies.

Rather than punish Bean for his good work, it was suggested (by me) that the rest of us work together to create something using Bean as inspiration.

Heater can't see this working (blind leading the blind and all), so now it is a challenge, and the result will be decided by whether he or I or anybody else can claim to have gained an understanding of Fourier when work stops.

If somebody that already has a clear understanding of Fourier

could point out when we've gone wrong, that would be appreciated.

Otherwise, any interested party can post/contribute.

Bean's format looks like this to me:

a) one sentence high level explanation

b) first basic concept

c) example of first basic concept

d) next concept

e) example combining concepts

f) mostly integers

g) long strings of float only used when we are showing how we get rid of them:

"So what angle would give us Tan(Angle) = 0.500.

It turns out to be 26.56505118.

Now this isn’t exactly half of 45, but it doesn’t really matter.

As long as it is smaller than 45 and larger than or equal to 22.5 it will work."

I believe this last is the "magic".

So let's get started. There are a couple different places to start:

The whole idea is that a periodic function might be broken down into simpler components. Is this correct?

For example, a violin note might broken into constituent triangle and saw-tooth waves of different frequencies; Or a voice might be broken into constituent wave forms and the composition changes over time.

Edit: The goal - to understand this Fourier thing and how to use it on the prop.