dorsal/arxiv
View SchemaTotal Differential Errors in One-Port Network Analyzer Measurements with Application to Antenna Impedance
| Authors | Nikolitsa Yannopoulou, Petros Zimourtopoulos |
|---|---|
| Categories | |
| ArXiv ID | physics/0703204 |
| URL | https://arxiv.org/abs/physics/0703204 |
| Journal | Radioengineering 16.2 (2007) 1-8 |
Abstract
The objective was to study uncertainty in antenna input impedance resulting from full one-port Vector Network Analyzer (VNA) measurements. The VNA process equation in the reflection coefficient p of a load, its measurement m and three errors Es -determinable from three standard loads and their measurements- was considered. Differentials were selected to represent measurement inaccuracies and load uncertainties (Differential Errors). The differential operator was applied on the process equation and the total differential error dp for any unknown load (Device Under Test DUT) was expressed in terms of dEs and dm, without any simplification. Consequently, the differential error of input impedance Z -or any other physical quantity differentiably dependent on p- is expressible. Furthermore, to express precisely a comparison relation between complex differential errors, the geometric Differential Error Region and its Differential Error Intervals were defined. Practical results are presented for an indoor UHF ground-plane antenna in contrast with a common 50 Ohm DC resistor inside an aluminum box. These two built, unshielded and shielded, DUTs were tested against frequency under different system configurations and measurement considerations. Intermediate results for Es and dEs characterize the measurement system itself. A number of calculations and illustrations demonstrate the application of the method.
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"abstract": "The objective was to study uncertainty in antenna input impedance resulting\nfrom full one-port Vector Network Analyzer (VNA) measurements. The VNA process\nequation in the reflection coefficient p of a load, its measurement m and three\nerrors Es -determinable from three standard loads and their measurements- was\nconsidered. Differentials were selected to represent measurement inaccuracies\nand load uncertainties (Differential Errors). The differential operator was\napplied on the process equation and the total differential error dp for any\nunknown load (Device Under Test DUT) was expressed in terms of dEs and dm,\nwithout any simplification. Consequently, the differential error of input\nimpedance Z -or any other physical quantity differentiably dependent on p- is\nexpressible. Furthermore, to express precisely a comparison relation between\ncomplex differential errors, the geometric Differential Error Region and its\nDifferential Error Intervals were defined. Practical results are presented for\nan indoor UHF ground-plane antenna in contrast with a common 50 Ohm DC resistor\ninside an aluminum box. These two built, unshielded and shielded, DUTs were\ntested against frequency under different system configurations and measurement\nconsiderations. Intermediate results for Es and dEs characterize the\nmeasurement system itself. A number of calculations and illustrations\ndemonstrate the application of the method.",
"arxiv_id": "physics/0703204",
"authors": [
"Nikolitsa Yannopoulou",
"Petros Zimourtopoulos"
],
"categories": [
"physics.class-ph",
"physics.ins-det"
],
"journal_ref": "Radioengineering 16.2 (2007) 1-8",
"title": "Total Differential Errors in One-Port Network Analyzer Measurements with Application to Antenna Impedance",
"url": "https://arxiv.org/abs/physics/0703204"
},
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