Optimal measurement strategies for effective suppression of drift errors

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Drifting of experimental set-ups with change of temperature or other environmental conditions is the limiting factor of many, if not all, precision measurements. The measurement error due to a drift is, in some sense, in-between random noise and systematic error. In the general case, the error contribution of a drift cannot be averaged out using a number of measurements identically carried out over a reasonable time. In contrast to systematic errors, drifts are usually not stable enough for a precise calibration. Here a rather general method for effective suppression of the spurious effects caused by slow drifts in a large ... continued below

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Yashchuk, Valeriy V. April 16, 2009.

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Drifting of experimental set-ups with change of temperature or other environmental conditions is the limiting factor of many, if not all, precision measurements. The measurement error due to a drift is, in some sense, in-between random noise and systematic error. In the general case, the error contribution of a drift cannot be averaged out using a number of measurements identically carried out over a reasonable time. In contrast to systematic errors, drifts are usually not stable enough for a precise calibration. Here a rather general method for effective suppression of the spurious effects caused by slow drifts in a large variety of instruments and experimental set-ups is described. An analytical derivation of an identity, describing the optimal measurement strategies suitable for suppressing the contribution of a slow drift described with a certain order polynomial function, is presented. A recursion rule as well as a general mathematical proof of the identity is given. The effectiveness of the discussed method is illustrated with an application of the derived optimal scanning strategies to precise surface slope measurements with a surface profiler.

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  • Journal Name: Review of Scientific Instruments

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  • Report No.: LBNL-1794E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 953231
  • Archival Resource Key: ark:/67531/metadc926548

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Office of Scientific & Technical Information Technical Reports

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  • April 16, 2009

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Jan. 4, 2017, 4:38 p.m.

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Yashchuk, Valeriy V. Optimal measurement strategies for effective suppression of drift errors, article, April 16, 2009; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc926548/: accessed October 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.