COMPLEX DISCRETE FOURIER TRANSFORM · DRAW WITH YOUR FINGER
Why Any Shape or Signal Is Just Rotating Circles Added Together
Drag directly on the canvas below to sketch any closed loop — or tap a preset — then slide from 1 to 127 rotating Fourier circles to watch JPEG, Wi-Fi, and digital audio compression happen live.
Active Circles (M)
24 / 127
Signal Energy (Parseval)
99.2%
Harmonics Dropped
81% saved
Top Frequency (k)
k = +1