Mathematical Function Graph

This graph provides a clear comparison between an original square waveform and two different filtered versions. The red line represents the initial, sharp-edged signal. The green and blue lines depict the outcomes after applying distinct filtering processes, visibly demonstrating the characteristic overshoots and ringing near the sudden transitions, often referred to as the Gibbs phenomenon. It's a common visualization used to understand concepts in digital signal processing and the approximation of discontinuous functions.

signal processing - square wave - fourier analysis - filtering - gibbs phenomenon - waveform