Fournier Transforms explained - Page 2

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Posted: 3/24/2023 5:36:12 PM EST

[#1]

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Quoted:
Fourier Transforms have been around since I think the mid fifties, maybe earlier, I can’t remember.

But imagine trying to math this shit out with pencil, paper and a desk full of slide calculators. Because that’s exactly how it was done.

I’ve watched numerous videos on this topic and still can’t get any part of it to sink in. Far too dumb for this.

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Since 1807. Calculators (slide or otherwise) are not needed.

Posted: 3/24/2023 5:39:10 PM EST

[#2]

The Discrete Fourier Transform itself is rather simple, IIRC.

It was the advent of the Fast Fourier Transform that made things complicated. Although, computers can do FFTs much more quickly than DFTs.

Posted: 3/24/2023 5:46:40 PM EST

[#3]

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Quoted:

Since 1807. Calculators (slide or otherwise) are not needed.

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I wasn’t even close.

Somehow I thought FFTs became a thing more recently.

But like I said, dumb as hell, that’s why I hang out in GD.

Posted: 3/24/2023 5:51:58 PM EST

[#4]

I've used FTIRs since 1997 in oil analysis. It is an essential test for physical contaminants, oxidation, nitration, and specifically soot. It can also be used for TBN analysis too. It detects water and fuel as well but not the greatest test for either.

Karl Fischer for water and viscosity being a screening tool for fuel comingling with FDM and Flashpoint for comformation.

Posted: 3/24/2023 6:18:47 PM EST

[#5]

Quoted:
This page almost helped me understand sine waves visually. I'm just too stupid to get it. Someone smarter may dig this

https://www.jezzamon.com/fourier/index.html?platform=hootsuite

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It is a magic black box that takes you from the time domain to the frequency domain.

Posted: 3/24/2023 6:33:18 PM EST

[#6]

Quote History

Quoted:

Since 1807. Calculators (slide or otherwise) are not needed.

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Quote History

Quoted:

Quoted:
Fourier Transforms have been around since I think the mid fifties, maybe earlier, I can’t remember.

But imagine trying to math this shit out with pencil, paper and a desk full of slide calculators. Because that’s exactly how it was done.

I’ve watched numerous videos on this topic and still can’t get any part of it to sink in. Far too dumb for this.

Since 1807. Calculators (slide or otherwise) are not needed.

Fourier transforms were developed in 1807. The theory upon which (Fast Fourier Transforms) FFTs are based was developed around 1805 by Gauss. But modern FFTs were developed by James Cooley and John Tukey in 1965. Modern FFTs are best calculated using a computer and would be awkward to do by hand, but the development of the theory did not require a computer.

Posted: 3/24/2023 6:52:59 PM EST

[#7]

Quote History

Quoted:

Fourier transforms were developed in 1807. The theory upon which (Fast Fourier Transforms) FFTs are based was developed around 1805 by Gauss. But modern FFTs were developed by James Cooley and John Tukey in 1965. Modern FFTs are best calculated using a computer and would be awkward to do by hand, but the development of the theory did not require a computer.

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FFTs have input requirements that DFTs don't have, too. I think split-radix FFTs need to have their bin count be an even power of two.