scholarly journals Measurement uncertainty relations

2014 ◽  
Vol 55 (4) ◽  
pp. 042111 ◽  
Author(s):  
Paul Busch ◽  
Pekka Lahti ◽  
Reinhard F. Werner
Keyword(s):  
Measurement Uncertainty ◽  
Uncertainty Relations

scholarly journals Measurement Uncertainty Relations for Position and Momentum: Relative Entropy Formulation

Entropy ◽  
2017 ◽  
Vol 19 (7) ◽  
pp. 301 ◽  
Author(s):  
Alberto Barchielli ◽  
Matteo Gregoratti ◽  
Alessandro Toigo
Keyword(s):  
Measurement Uncertainty ◽  
Relative Entropy ◽  
Uncertainty Relations ◽  
Entropy Formulation

scholarly journals Limiting Uncertainty Relations in Laser-Based Measurements of Position and Velocity Due to Quantum Shot Noise

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 264 ◽  
Author(s):  
Andreas Fischer
Keyword(s):  
Measurement Uncertainty ◽  
Wave Vector ◽  
Shot Noise ◽  
Measurement Techniques ◽  
Time Of Flight ◽  
Wave Number ◽  
Uncertainty Relations ◽  
Position Measurement ◽  
Information Theoretic ◽  
Measurement Systems

With the ongoing progress of optoelectronic components, laser-based measurement systems allow measurements of position as well as displacement, strain and velocity with unbeatable speed and low measurement uncertainty. The performance limit is often studied for a single measurement setup, but a fundamental comparison of different measurement principles with respect to the ultimate limit due to quantum shot noise is rare. For this purpose, the Cramér-Rao bound is described as a universal information theoretic tool to calculate the minimal achievable measurement uncertainty for different measurement techniques, and a review of the respective lower bounds for laser-based measurements of position, displacement, strain and velocity at particles and surfaces is presented. As a result, the calculated Cramér-Rao bounds of different measurement principles have similar forms for each measurand including an indirect proportionality with respect to the number of photons and, in case of the position measurement for instance, the wave number squared. Furthermore, an uncertainty principle between the position uncertainty and the wave vector uncertainty was identified, i.e., the measurement uncertainty is minimized by maximizing the wave vector uncertainty. Additionally, physically complementary measurement approaches such as interferometry and time-of-flight positions measurements as well as time-of-flight and Doppler particle velocity measurements are shown to attain the same fundamental limit. Since most of the laser-based measurements perform similar with respect to the quantum shot noise, the realized measurement systems behave differently only due to the available optoelectronic components for the concrete measurement task.

National primary standard machine of Shore D hardness scale for metals and Leeb hardness scales

2020 ◽  
pp. 6-10
Author(s):  
A.E. Aslanyan ◽  
E.G. Aslanyan ◽  
S.M. Gavrilkin ◽  
A.S. Doynikov ◽  
A.N. Shchipunov
Keyword(s):  
Measurement Uncertainty ◽  
Primary Standard ◽  
Metrological Characteristics ◽  
National Primary Standard ◽  
Hardness Scale ◽  
Leeb Hardness

The article presents the results of studies to improve the National primary standard machine for hardness of metals on the shore D scale GET 161-2001, which were performed in FSUE “VNIIFTRI” from 2016 to 2018 in accordance with the technical task of Rosstandart.The improvement was carried out in order to ensure the uniformity of hardness measurements on the Leeb scales. The created new parts of the primary standard machine, which are settings for reproducing hardness numbers on the Leeb scales, are considered. Metrological characteristics of the upgraded and adopted National primary standard machine (GET 161-2019) were investigated, the budget of measurement uncertainty was calculated for reproducing hardness numbers on the Leeb scales.

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