Fourier Series

Waveform

Parameters

Number of Harmonics 1 Fundamental Freq f₀ (Hz) 2

Animation

Fourier Series
x(t) = a₀ + Σ a_ncos(nω₀t) + b_nsin(nω₀t)

Gibbs Phenomenon: ~9% overshoot at discontinuities persists no matter how many terms. It never goes away — only gets narrower.