Talk:Leaky integrator

Cut-off frequency

Cited from article:

lowpass filter with cutoff frequency far below the frequencies of interest

That means the "frequencies of interest" are those that you want to remove? Strange formulation. In general context I would assume the frequencies of interest for a low pass filter are those in the pass band, i.e., low frequencies.--153.96.175.18 (talk) 08:54, 23 September 2021 (UTC)

Someone had since edited the line to read

highpass filter with cutoff frequency far below the frequencies of interest

instead, which is worse than confusing: it's wrong. Integration is a lowpass filter: the higher the frequency, the less of it comes through when integrated. Non-leaky integration even has an infinite response to a constant signal: the integral of a constant is a straight line that eventually moves away from 0. I think the original intent of the line was to explain that, sometimes, you want the effect of a lowpass filter where frequencies are dampened by a factor of 1/f, but you don't care about that relation for the lowest frequencies and also don't want the pole around f=0 (likely to avoid clipping in a digital context, or avoid high voltages in an analog context) so you use a leaky integrator to limit the power of frequencies close to 0. The fact that even editors misunderstand that line badly enough that they edit it to be factually wrong should be an indication that it doesn't improve the article, so I removed it. If someone wants to do a better attempt at this explanation (with a citation) that would be nice. 89.98.82.213 (talk) 15:16, 10 May 2023 (UTC)