Questions tagged [gibbs-phenomenon]

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12
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2answers
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A good mathematical explanation of Gibbs phenomenon

I was explaining to someone how Fourier series work in context of constructing signals that are not everywhere differentiable, e.g. square waves, sawtooth waves, etc. When I mentioned the Gibbs ...
12
votes
4answers
6k views

Why do I see ringing in the output of a digital filter with a narrow transition band?

I am doing some 'extreme' eq for spectral mangling type effects with audio. Im using brick wall filters, and very narrow band pass and reject filters (vst plugins), and I'd like to know if there's ...
7
votes
2answers
2k views

How much of a problem is the Gibbs phenomenon and would this solve it?

By iterating or nesting a sine curve like in this question I get curves like these: that seem to tend to a square wave. The eight case of these looks like: which here on purpose was chosen for it'...