September 22, 2009
No CommentsGibbs Phenomenon Explained
Description
A detailed tutorial and explanation of the Gibbs Phenomenon. Step by step tutorial including several examples of the Gibbs Phenomenon for reference.
Overview
Gibbs Phenomenon refers to the way the Fourier series of a piecewise continuously differentiable periodic function behaves at a jump discontinuity. What happens is the nth partial sum of the series has large oscillations near the jump, which could possibly overshoot the partial sum above the function. However, the overshoot does not die out as the frequency increases – it approaches a finite limit.
