matthen: The smooth motion of rotating circles can be used to build up any repeating curve even one as angular as a digital square wave. Each circle spins at a multiple of a fundamental frequency, and a method called Fourier analysis shows how to pick the radiuses of the circles to make the picture work. Decomposing signals like this lies at the heart of a lot of signal processing. [more] [code]
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matthen:

The smooth motion of rotating circles can be used to build up any repeating curve even one as angular as a digital square wave. Each circle spins at a multiple of a fundamental frequency, and a method called Fourier analysis shows how to pick the radiuses of the circles to make the picture work. Decomposing signals like this lies at the heart of a lot of signal processing. [more] [code]

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Source: matthen

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  1. bysache reblogged this from shapeshifting
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  7. love-that-coat reblogged this from messier51 and added:
    The version with just one added circle reminds me of the epicycle theory, which was used by the Greek astronomers to...
  8. brownsteam reblogged this from petervidani and added:
    If you were ever curious how a Fourier Series works… perhaps a visual can help.
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  13. theniggaryan reblogged this from matthen and added:
    The speed of the circle never changes, yet the frequencies get whack. Fourier analysis and square waves? Toooo...
  14. fritokal reblogged this from typewriterchan
  15. typewriterchan reblogged this from nausiwindstrider and added:
    I love this stuff. This was part of my major. Not the circles themselves, but creating sine waves, square waves, doing...
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  21. youngnoblewoman reblogged this from messier51 and added:
    This is why I give up with trying to deal with anything involing the word “Fourier” except for FTIR
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    Is this how Gallifreyan writing was developed?
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    Pretty! my second lab’s work basically. We’re investigating light travelling through single, multi and few mode optical...
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