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BS EN 62754:2017

$198.66

Computation of waveform parameter uncertainties

Published By Publication Date Number of Pages
BSI 2017 58
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IEC 62754:2017 This document specifies methods for the computation of the temporal and amplitude parameters and their associated uncertainty for step-like and impulse-like waveforms. This document is applicable to any and all industries that generate, transmit, detect, receive, measure, and/or analyse these types of pulses.

PDF Catalog

PDF Pages PDF Title
2 National foreword
7 English
CONTENTS
9 FOREWORD
11 1 Scope
2 Normative references
3 Terms and definitions
12 Figure 1 – Reference levels, reference level instants, waveform amplitude, and transition duration for a single positive-going transition
13 Figures
16 Figure 2 – Overshoot, undershoot, state levels, and state boundaries for a single positive-going transition
21 4 Waveform measurement
4.1 General
22 4.2 Waveform parameters
4.3 Waveform measurement process
4.3.1 General
Figure 3 – Creation of measured, corrected, and reconstructed waveforms and the final estimate of the input signal
23 4.3.2 General description of the measurement system
24 5 Waveform and waveform parameter corrections
5.1 General
5.2 Waveform parameter corrections
25 5.3 Waveform corrections and waveform reconstruction
5.3.1 General
5.3.2 Sample-by-sample correction
5.3.3 Entire waveform correction
27 6 Uncertainties
6.1 General
6.2 Propagation of uncertainties
6.2.1 General
28 6.2.2 Uncorrelated input quantities
6.2.3 Correlated input quantities
6.3 Pooled data and its standard deviation
30 6.4 Expanded uncertainty and coverage factor
6.4.1 General
31 Tables
Table 1 – Value of the coverage factor kp that encompasses the fraction p of the t -distribution for different degrees of freedom (from ISO/IEC Guide 98-3)
32 6.4.2 Effective degrees of freedom
33 6.5 Entire waveform uncertainties
Figure 4 – Example of waveform bounds focusing on the trajectories that impact pulse parameter measurements
34 7 Waveform parameter uncertainties
7.1 General
35 7.2 Amplitude parameters
7.2.1 State levels
Figure 5 – Relationship between selected waveform parameters
36 Table 2 – Different methods for determining state levels, as given in IEC 60469,and their uncertainty type and method of computation
40 7.2.2 State boundaries
41 7.2.3 Waveform amplitude (state levels)
Table 3 – Different methods for determining state boundariesand their uncertainty type and method of computation
42 7.2.4 Impulse amplitude (state levels)
7.2.5 Percent reference levels (state levels, waveform amplitude)
43 7.2.6 Transition settling error (state levels, waveform amplitude)
7.2.7 Overshoot aberration (state levels, waveform amplitude)
44 7.2.8 Undershoot aberration (state levels, waveform amplitude)
7.3 Temporal parameters
7.3.1 Initial instant
Table 4 – Variables contributing to the uncertainty in overshoot
45 7.3.2 Waveform epoch
46 7.3.3 Reference level instants (percent reference levels, waveform epoch, initial instant)
47 7.3.4 Impulse centre instant (impulse amplitude, reference level instants)
7.3.5 Transition duration (reference level instants)
Table 5 – Variables contributing to the uncertaintyin the reference level instant
48 7.3.6 Transition settling duration (reference level instants)
7.3.7 Pulse duration (reference level instants)
7.3.8 Pulse separation (reference level instants)
49 7.3.9 Waveform delay (advance) (reference level instants)
8 Monte Carlo method for waveform parameter uncertainty estimates
8.1 General guidance and considerations
8.2 Example: state level
51 Annex A (informative)Demonstration example for the calculation of the uncertaintyof state levels using the histogram mode according to 7.2.1.2
A.1 Waveform measurement
A.2 Splitting the bimodal histogram and determining the state levels
Figure A.1 – Waveform obtained from the measurement of a step-like signal from which the state levels and uncertainties are calculated
52 A.3 Uncertainty of state levels
Figure A.2 – Histograms of state s1 (a) and state s2 (b)of the step-like waveform plotted in Figure A.1
53 Table A.1 – Uncertainty contributions and total uncertaintyfor level(si) determined from histogram modes
54 Annex B (informative)Computation of ΣL and ΣY for estimating the uncertainty of state levelsusing the shorth method according to 7.2.1.3
Figure B.1 – Diagram showing location of waveform elements, y(α)/(β), in Y1 and Y2, and the construction of Y from Y1 and Y2
57 Bibliography
BS EN 62754:2017
$198.66