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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] Fourier Transform was a topic that, I assumed, marked the end of being able to visualize the concepts in my education.  Until now!

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]

Fourier Transform was a topic that, I assumed, marked the end of being able to visualize the concepts in my education.  Until now!

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  1. durdelafeuille reblogged this from ugtl and added:
    The smooth motion of rotating circles can be used to build up any repeating curve even one as angular as a digital...
  2. bysache reblogged this from shapeshifting
  3. ugtl reblogged this from anceps
  4. anceps reblogged this from matthen
  5. nuklearswag reblogged this from tramampoline
  6. skushezdynamics reblogged this from zakurochan
  7. alluradawnluvzu reblogged this from matthen
  8. 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...
  9. brownsteam reblogged this from petervidani and added:
    If you were ever curious how a Fourier Series works… perhaps a visual can help.
  10. inoverthought reblogged this from cielito-lindo
  11. cielito-lindo reblogged this from spockandsex
  12. bunnyliquefaction reblogged this from matthen
  13. coffee---stained reblogged this from matthen
  14. 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...
  15. fritokal reblogged this from typewriterchan
  16. 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...
  17. nausiwindstrider reblogged this from 51pegasi-b
  18. sapientesloqui reblogged this from marchingatmidnight
  19. slympikkinz reblogged this from darkdemandingchild
  20. thatnoblegirl reblogged this from youngnoblewoman
  21. darkdemandingchild reblogged this from friends-with-the-doctor
  22. 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
  23. imrandomaspaper reblogged this from doctorwhoslostcompanion
  24. rinaminamar reblogged this from friends-with-the-doctor
  25. marchingatmidnight reblogged this from doctorwhoslostcompanion and added:
    Is this how Gallifreyan writing was developed?
  26. sherlocktheangelshavethesnitch reblogged this from doctorwhoslostcompanion
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  29. 51pegasi-b reblogged this from messier51
  30. messier51 reblogged this from lightbulbthesis
  31. lightbulbthesis reblogged this from matthen and added:
    Pretty! my second lab’s work basically. We’re investigating light travelling through single, multi and few mode optical...
  32. bedivere0037 reblogged this from matthen
  33. logicalambiguity reblogged this from spetharrific