Talk:Leaky integrator
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Cut-off frequency
[edit]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)
- I believe this refers to the frequency range in which the system acts as an integrator. Yes, this is the frequency range that the filter suppresses. Integration does not work at lower frequencies; in other words, the integrator operates outside the filter's passband. DDadyka (talk) 05:30, 18 September 2026 (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)
Move the time and frequency characteristics analysis of the leaky integrator from specific articles to this article.
[edit]Many physical, biological, and technical systems are described by the same model: the accumulation of a certain quantity is counteracted by losses that depend on the system's current state. Examples of this model are already described in a number of Wikipedia articles, including:
It is hardly practical to provide a detailed analysis of this basic model anew in every article dedicated to a specific implementation of it. Instead, we can describe the general concept here, which more specialized materials could then reference DDadyka (talk) 05:15, 18 September 2026 (UTC)
Peer review
[edit]
I've listed this article for peer review because I am proposing a substantial extending of the existing article. The proposed version is currently at User:DDadyka/Leaky integrator. I would particularly appreciate comments on the mathematical correctness, article structure, and whether the userspace draft would be an improvement over the current article.
Thanks, DDadyka (talk) 19:09, 18 September 2026 (UTC)