Avoiding Measurement Errors from Manipulating Data in Software

Logan Kunitz
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Abstract

In the age of digital technology, the act of calibrating a device nearly always requires the conversion of an analog signal into a digital representation that will be used and manipulated in software as a part of the calibration process. This conversion from analog to digital and the subsequent processing that occurs in the digital domain can introduce additional errors in the measurement. If the data types and methodologies are not properly controlled, the magnitude of these errors can add significant uncertainty to the calibration. The objective of this paper is to explore the various ways that software can introduce errors and uncertainty into measurements, with the purpose of raising awareness for developers about the choices that can be made when manipulating measurement data in software. This paper will investigate several sources of software error that apply across different programming environments, including excel, text-based, and graphical programming environments. The sources of error that will be discussed will include the following: •Rounding errors associated with datatype conversions and data truncation. •Numerical errors are related to the limitations of computers in representing numeric values. •Computational errors that can be introduced by common math functions and methodologies.
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避免在软件中操纵数据造成测量误差
在数字技术时代,校准设备的行为几乎总是需要将模拟信号转换为将在软件中使用和操作的数字表示,作为校准过程的一部分。这种从模拟到数字的转换以及随后在数字域中发生的处理会在测量中引入额外的误差。如果数据类型和方法没有得到适当控制,这些误差的大小会给校准增加显著的不确定性。本文的目的是探讨软件在测量中引入错误和不确定性的各种方法,目的是提高开发人员对在软件中操作测量数据时可以做出的选择的认识。本文将研究应用于不同编程环境的软件错误的几个来源,包括excel、基于文本的和图形编程环境。将讨论的误差来源将包括以下内容:•与数据类型转换和数据截断相关的舍入误差。•数值误差与计算机在表示数值方面的限制有关。•常见数学函数和方法可能引入的计算误差。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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