BS EN 62754:2017
$198.66
Computation of waveform parameter uncertainties
Published By | Publication Date | Number of Pages |
BSI | 2017 | 58 |
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 |
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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 |