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BS ISO 11843-7:2018

$142.49

Capability of detection – Methodology based on stochastic properties of instrumental noise

Published By Publication Date Number of Pages
BSI 2018 28
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Background noise exists ubiquitously in analytical instruments, whether or not a sample is applied to the instrument. This document is concerned with mathematical methodologies for estimating the minimum detectable value in case that the most predominant source of measurement uncertainty is background noise. The minimum detectable value can directly and mathematically be derived from the stochastic characteristics of the background noise.

This document specifies basic methods to

  • extract the stochastic properties of the background noise,

  • use the stochastic properties to estimate the standard deviation (SD) or coefficient of variation (CV) of the response variable, and

  • calculate the minimum detectable value based on the SD or CV obtained above.

The methods described in this document are useful for checking the detection of a certain substance by various types of measurement equipment in which the background noise of the instrumental output predominates over the other sources of measurement uncertainty. Feasible choices are visible and ultraviolet absorption spectrometry, atomic absorption spectrometry, atomic fluorescence spectrometry, luminescence spectrometry, liquid chromatography and gas chromatography.

PDF Catalog

PDF Pages PDF Title
2 National foreword
6 Foreword
7 Introduction
9 1 Scope
2 Normative references
10 3 Terms and definitions
11 4 Quantitative analysis and background noise
4.1 Error sources of analysis
4.2 Random processes in background
12 5 Theories for precision
5.1 Theory based on auto-covariance function
13 5.2 Theory based on power spectrum
17 6 Practical use of FUMI theory
6.1 Estimation of noise parameters by Fourier transform
18 6.2 Estimation of noise parameters by autocovariance function
19 6.3 Procedures for estimation of SD
22 Annex A (informative) Symbols and abbreviated terms used in this document
23 Annex B (informative) Derivation of Formula (7)
24 Annex C (informative) Derivation of Formulae (14) to (16)
26 Bibliography
BS ISO 11843-7:2018
$142.49