dorsal/arxiv
View SchemaAn Optimal Lookup Table Construction for Charge Division with respect to Efficiency Flatness
| Authors | Patrick Van Esch, Frederic Millier |
|---|---|
| Categories | |
| ArXiv ID | physics/0608048 |
| URL | https://arxiv.org/abs/physics/0608048 |
| DOI | 10.1063/1.1623607 |
| Journal | Rev.Sci.Instrum.74:5058,2003 |
Abstract
Static lookup tables as often used in the position calculation electronics in position sensitive detectors suffer from the well known problem that the propagation of digitization errors in the division leads to unequal efficiencies for the different output channels. In this paper we present a solution to the construction of such a lookup table which is optimal in the sense that the least possible efficiency errors are committed in the class of monotone lookup tables. The obtained resolution is comparable to what is obtained using the standard implementation of the fixed point division. After a theoretical explanation, we present some experimental results confirming our claim.
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"abstract": "Static lookup tables as often used in the position calculation electronics in\nposition sensitive detectors suffer from the well known problem that the\npropagation of digitization errors in the division leads to unequal\nefficiencies for the different output channels. In this paper we present a\nsolution to the construction of such a lookup table which is optimal in the\nsense that the least possible efficiency errors are committed in the class of\nmonotone lookup tables. The obtained resolution is comparable to what is\nobtained using the standard implementation of the fixed point division. After a\ntheoretical explanation, we present some experimental results confirming our\nclaim.",
"arxiv_id": "physics/0608048",
"authors": [
"Patrick Van Esch",
"Frederic Millier"
],
"categories": [
"physics.ins-det"
],
"doi": "10.1063/1.1623607",
"journal_ref": "Rev.Sci.Instrum.74:5058,2003",
"title": "An Optimal Lookup Table Construction for Charge Division with respect to Efficiency Flatness",
"url": "https://arxiv.org/abs/physics/0608048"
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