Segmentation error in averaged parameters' measurements of periodic signals: its upper limits and general probabilistic properties

Grzegorz Smolalski

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Segmentation error in averaged parameters' measurements of periodic signals: its upper limits and general probabilistic properties

机译：周期信号平均参数测量中的分段误差：其上限和一般概率性质

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Segmentation error has been defined and its dependence on averaging time and the measurement starting instant has been presented. Then, the worst-case signal, for which the segmentation error obtains the greatest modulus, was found and the segmentation error upper boundary for any limited value signal has been calculated. Thanks to this, practical conclusions relating to the necessary averaging time guaranteeing the segmentation error acceptable small values were deduced. The segmentation error probability density function and its variance were studied as well. It was stated that, for many instances important in practice, segmentation error reveals a strong tendency for accumulation of meaningful probability masses in the vicinity of its maximum values.

机译：定义了分段误差，并提出了其对平均时间和测量开始时刻的依赖性。然后，找到分割误差获得最大模量的最坏情况信号，并计算出任何极限值信号的分割误差上限。因此，得出了与必要的平均时间有关的实用结论，这些平均时间可确保分割误差可接受的小值。还研究了分割误差概率密度函数及其方差。据指出，在实践中很重要的许多情况下，分段误差显示出在其最大值附近累积有意义的概率质量的强烈趋势。

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《Measurement》 |2001年第1期|共10页
作者
Grzegorz Smolalski;
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原文格式 PDF
正文语种 eng
中图分类仪器、仪表;
关键词
Signal segmentation; Averaging time; Measurement error distribution; Synchronous measurement;

机译：信号分割平均时间测量误差分布同步测量;

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1. Segmentation error in averaged parameters' measurements of periodic signals: its upper limits and general probabilistic properties [J] . Grzegorz Smolalski Measurement . 2001,第1期

机译：周期信号平均参数测量中的分段误差：其上限和一般概率性质
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4. A Closed-Form Representation of an Upper Limit Error Function and its Interpretation on Measurements with Noise [C] . Robert Geise International Conference of Numerical Analysis and Applied Mathematics . 2017

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5. Use of in-stream water quality measurements and geospatial parameters to predict consumer surfactant toxic units in the upper Trinity River watershed, Texas [D] . Johnson, David Richard 2008

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6. Computing approximate standard errors for genetic parameters derived from random regression models fitted by average information REML [O] . Troy M Fischer, Arthur R Gilmour, Julius HJ van der Werf 2004

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7. Metrological Issues in Experimental Tests of Welding Machines. Part 2: Errors and Uncertainties in Measurements of Parameters of Selected Periodic Waveforms [O] . Antoni Sawicki, Maciej Haltof 2015

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Segmentation error in averaged parameters' measurements of periodic signals: its upper limits and general probabilistic properties

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