This is a phenomenon that happens in real-world analog signals, too. In this Xiph.org video in which Monty explains various bit about analog and digital signals

This is a phenomenon that happens in real-world analog signals, too. In this Xiph.org video in which Monty explains various bit about analog and digital signals[1], in a section starting at 17:20, he demonstrates how the Gibbs phenomenon happens in band-limited signals. 1. https://www.xiph.org/video/vid2.shtml https://www.xiph.org/video/vid2.shtml