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On the evaluation of root-mean-square errors in atomic coordinates in protein crystallography

Acta Crystallographica Section A, 1982
The calculation of standard deviations for atomic coordinates in human deoxyhaemoglobin A on the basis of various reciprocal-space residuals has shown the resulting values to be in good agreement with each other. Evidence is presented that such calculations may be more reliable than is commonly accepted. It is also shown that Wilson's statistics may be
Z. Derewenda   +3 more
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Reduction of root-mean-square error in faceted space antennas

AIAA Journal, 1984
This paper examines the potential for reducing root-mean-square surface errors in shallow faceted reflectors by replacing flat facets with laterally curved membrane facets. Exact solutions are obtained for the small lateral deflections of equilateral triangular and rectangular membranes subject to isotropic tension and parabolic edge deflections. These
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Measurement of Root-Mean-Square Phase Errors in Arrayed Waveguide Gratings

Chinese Physics Letters, 2004
The interference-based method to measure the root-mean-square phase errors in SiO2-based arrayed waveguide gratings (AWGs) is presented. The experimental results show that the rms phase error of the tested AWG is 0.72 rad.
Zheng Xiao-Ping   +4 more
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THE INFLUENCE OF THE ERROR of the ADC CONVERSION FUNCTION ON THE MEASUREment ERROR of THE ROOT MEAN SQUARE

Южно-Сибирский научный вестник, 2018
В настоящее время для измерения среднего квадратического значения (СКЗ) применяются преимущественно цифровые методы. Реализация данных методов предполагает использование аналого-цифровых преобразователей (АЦП) для получения отсчетов входного сигнала в цифровом виде.
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The choice of the coefficient of criterion of a minimum of the resulting root-mean-square error

2016 13th International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE), 2016
The various approaches to a choice of weight coefficient of criterion of a minimum of the resulting root-mean-square error of linear automatic control systems are considered. This criterion allows defining compromise meanings of small parameters of system, minimizing an resulting error of the system, which is summed dispersion of measurement noise and ...
E.L. Veretelnikova, I.L. Elantseva
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A note on minimum mean squared error estimation of signals with unit roots

Journal of Economic Dynamics and Control, 1988
Using an ARIMA parametrization, this note provides a very simple proof of how the Wiener-Kolmogorov-Whittle filter to estimate signals in time series can be extended to the nonstationary case. The proof is valid for any number and type of unit roots (not simply those implied by differencing) in both the signal and the overall model.
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Mean Squared Error, Deconstructed

Journal of Advances in Modeling Earth Systems, 2021
Timothy O Hodson   +2 more
exaly  

Usage of algorithm of a minimum root-mean square error at an adaptive filtration

Modern Problems of Radio Engineering, Telecommunications and Computer Science (IEEE Cat. No.02EX542), 2003
The use of adaptive filtration in the frequency area is considered. This is based on calculation of the Fourier transformation of an entering signal and independent weighing of every single frequency component.
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Root-Mean-Square Error

2008
Shashi Shekhar, Hui Xiong
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