Polar Fourier Transform

The Fourier transform quantifies the frequency content of a signal. We do this by first converting the time history to polar coordinates. Next, the speed at which the signal is wrapped in polar coordinates is varied with the winding frequency, . The orange dot is at the center of mass of the wrapped time history:
,
while the green dot represents the Fourier transform (i.e. the modified center of mass):
.
For speed, the symbolic integral is computed in the Initialization Code.
  • Contributed by: Edmon Perkins
  • After work by: 3Blue1Brown, Grant Sanderson

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.