Spectra 3D // Fast Fourier Transform Visualizer

SPECTRA 3D FFT LAB

Signal Presets

Harmonics & Synthesis

Harmonic Count (K) 12

Decompose into 1 to 28 Fourier harmonics

Fundamental Freq (f₀) 2.0 Hz

Noise Level 0%

Harmonic Summation (Superposition)

Summed Harmonics (M) 1 to 12

Progressively sums harmonics 1 to M into front wave

Summation Rays 3D Sum Sheet

Camera Perspectives

FOURIER EQUATION Square Wave Series

f(t) = \frac{4}{\pi} \sum_{k=1}^K \frac{\sin((2k-1) 2\pi f_0 t)}{2k-1}

Approximates square discontinuity. Notice the 9% overshoot (Gibbs phenomenon) near edges!