Integrate Square Waves Accurately: Leverage Fourier Series And Address Gibbs’ Phenomenon
Integral of Square Wave: The integral of a square wave can be calculated using Fourier series expansion. Parseval’s Theorem relates the function energy to Fourier coefficients, enabling the integral to be expressed as a sum of integrals of individual sinusoidal components. However, Gibbs’ Phenomenon introduces overshoot at discontinuities, affecting the convergence of the integral. Unveiling…