Computation of waveform parameter uncertainties

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.

Calcul des incertitudes des paramètres des formes d'onde

L'IEC 62754:2017 Le présent document spécifie les méthodes de calcul des paramètres temporels et d'amplitude des formes d'onde échelonnées et de type impulsion, ainsi que leurs incertitudes associées. Le présent document concerne tous les secteurs industriels qui génèrent, transmettent, détectent, reçoivent, mesurent et/ou analysent ces types d'impulsions.

General Information

Status
Published
Publication Date
23-May-2017
Current Stage
PPUB - Publication issued
Start Date
26-May-2017
Completion Date
24-May-2017
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IEC 62754 ®
Edition 1.0 2017-05
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Computation of waveform parameter uncertainties

Calcul des incertitudes des paramètres des formes d'onde

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IEC 62754 ®
Edition 1.0 2017-05
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Computation of waveform parameter uncertainties

Calcul des incertitudes des paramètres des formes d'onde

INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
COMMISSION
ELECTROTECHNIQUE
INTERNATIONALE
ICS 17.220.20 ISBN 978-2-8322-4345-9

– 2 – IEC 62754:2017  IEC 2017
CONTENTS
FOREWORD . 4
1 Scope . 6
2 Normative references . 6
3 Terms and definitions . 6
4 Waveform measurement . 16
4.1 General . 16
4.2 Waveform parameters . 17
4.3 Waveform measurement process . 17
4.3.1 General . 17
4.3.2 General description of the measurement system . 18
5 Waveform and waveform parameter corrections . 19
5.1 General . 19
5.2 Waveform parameter corrections . 19
5.3 Waveform corrections and waveform reconstruction. 20
5.3.1 General . 20
5.3.2 Sample-by-sample correction . 20
5.3.3 Entire waveform correction . 20
6 Uncertainties . 22
6.1 General . 22
6.2 Propagation of uncertainties . 22
6.2.1 General . 22
6.2.2 Uncorrelated input quantities . 23
6.2.3 Correlated input quantities . 23
6.3 Pooled data and its standard deviation. 23
6.4 Expanded uncertainty and coverage factor. 25
6.4.1 General . 25
6.4.2 Effective degrees of freedom . 27
6.5 Entire waveform uncertainties . 28
7 Waveform parameter uncertainties . 29
7.1 General . 29
7.2 Amplitude parameters . 30
7.2.1 State levels. 30
7.2.2 State boundaries . 35
7.2.3 Waveform amplitude (state levels) . 36
7.2.4 Impulse amplitude (state levels) . 37
7.2.5 Percent reference levels (state levels, waveform amplitude) . 37
7.2.6 Transition settling error (state levels, waveform amplitude) . 38
7.2.7 Overshoot aberration (state levels, waveform amplitude) . 38
7.2.8 Undershoot aberration (state levels, waveform amplitude) . 39
7.3 Temporal parameters . 39
7.3.1 Initial instant . 39
7.3.2 Waveform epoch . 40
7.3.3 Reference level instants (percent reference levels, waveform epoch,
initial instant) . 41
7.3.4 Impulse centre instant (impulse amplitude, reference level instants) . 42
7.3.5 Transition duration (reference level instants) . 42

7.3.6 Transition settling duration (reference level instants) . 43
7.3.7 Pulse duration (reference level instants) . 43
7.3.8 Pulse separation (reference level instants) . 43
7.3.9 Waveform delay (advance) (reference level instants) . 44
8 Monte Carlo method for waveform parameter uncertainty estimates . 44
8.1 General guidance and considerations . 44
8.2 Example: state level . 44
Annex A (informative) Demonstration example for the calculation of the uncertainty of
state levels using the histogram mode according to 7.2.1.2. 46
A.1 Waveform measurement . 46
A.2 Splitting the bimodal histogram and determining the state levels . 46
A.3 Uncertainty of state levels . 47
Annex B (informative) Computation of Σ andΣ for estimating the uncertainty of
L Y
state levels using the shorth method according to 7.2.1.3 . 49
Bibliography . 52

Figure 1 – Reference levels, reference level instants, waveform amplitude, and
transition duration for a single positive-going transition . 7
Figure 2 – Overshoot, undershoot, state levels, and state boundaries for a single
positive-going transition . 11
Figure 3 – Creation of measured, corrected, and reconstructed waveforms and the
final estimate of the input signal . 17
Figure 4 – Example of waveform bounds focusing on the trajectories that impact pulse
parameter measurements . 28
Figure 5 – Relationship between selected waveform parameters . 30
Figure A.1 – Waveform obtained from the measurement of a step-like signal from
which the state levels and uncertainties are calculated . 46
Figure A.2 – Histograms of state s1 (a) and state s2 (b) of the step-like waveform
plotted in Figure A.1 .
...

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