dorsal/arxiv
View SchemaArtifacts with uneven sampling of red noise
| Authors | Edoardo Milotti |
|---|---|
| Categories | |
| ArXiv ID | physics/0610006 |
| URL | https://arxiv.org/abs/physics/0610006 |
| DOI | 10.1103/PhysRevE.75.011120 |
Abstract
The vast majority of sampling systems operate in a standard way: at each tick of a fixed-frequency master clock a digitizer reads out a voltage that corresponds to the value of some physical quantity and translates it into a bit pattern that is either transmitted, stored, or processed right away. Thus signal sampling at evenly spaced time intervals is the rule: however this is not always the case, and uneven sampling is sometimes unavoidable. While periodic or quasi-periodic uneven sampling of a deterministic signal can reasonably be expected to produce artifacts, it is much less obvious that the same happens with noise: here I show that this is indeed the case only for long-memory noise processes, i.e., power-law noises $1/f^\alpha$ with $\alpha > 2$. The resulting artifacts are usually a nuisance although they can be eliminated with a proper processing of the signal samples, but they could also be turned to advantage and used to encode information.
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"abstract": "The vast majority of sampling systems operate in a standard way: at each tick\nof a fixed-frequency master clock a digitizer reads out a voltage that\ncorresponds to the value of some physical quantity and translates it into a bit\npattern that is either transmitted, stored, or processed right away. Thus\nsignal sampling at evenly spaced time intervals is the rule: however this is\nnot always the case, and uneven sampling is sometimes unavoidable.\n While periodic or quasi-periodic uneven sampling of a deterministic signal\ncan reasonably be expected to produce artifacts, it is much less obvious that\nthe same happens with noise: here I show that this is indeed the case only for\nlong-memory noise processes, i.e., power-law noises $1/f^\\alpha$ with $\\alpha \u003e\n2$. The resulting artifacts are usually a nuisance although they can be\neliminated with a proper processing of the signal samples, but they could also\nbe turned to advantage and used to encode information.",
"arxiv_id": "physics/0610006",
"authors": [
"Edoardo Milotti"
],
"categories": [
"physics.data-an",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevE.75.011120",
"title": "Artifacts with uneven sampling of red noise",
"url": "https://arxiv.org/abs/physics/0610006"
},
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