Fourier analysis of a periodic discontinuous function. The signal is then reconstructed with the first few harmonics. As the initial signal has discontinuities, the reconstruction process converges much slower than in the previous examples. It is an example of the Gibbs phenomenon (=ringing artefact).
This animation is part of a joint article by Hajer Bahouri & François Vigneron about signal analysis (images.math.cnr....
27 июл 2018
