Data analysis
software verification Benchmark
Test 5
Function of test
The function of
this test is to check the computation of signal statistics and in the frequency
domain RMS spectral density functions for a selected section of some real world
data.
Benchmark 5 Signal Details
The group D
data is real data taken from a load measuring wheel transducer. The data is
supplied as ASCII values and is already scaled to the correct levels. A single
signal is supplied which is the vertical force measured over a rough road. The
total signal includes the initial and final static data when the vehicle was at
rest.
The file
supplied for this test is.
Which contains data acquired at 630 samples per second
And the signal
description is: Wheel vertical load
Analysis parameters to be used
The data are
supplied in ASCII form and the file represents one signal. When loaded into an
analysis package the data should be set to a sample rate of 630 samples per
second and the units to kN.
The analysis
should be performed on the section of the signal from 28.5 seconds to 154.00
seconds.
Four RMS
spectral analyses should be performed as follows:
Two RMS
Spectral Density analyses of the specified section of data as supplied the
first at a frequency spacing of 0.30762 Hz and the second at a frequency
spacing of 0.076905 Hz, which are equivalent to 2048 and 8192 FFT transform
sizes)
The selected
section of data should then be normalized to zero mean and a further two RMS
Spectral Density analyses performed at the same frequency spacings.
In all four
cases a Hanning window should be used with an overlap of 50% of block sections.
The equation for a Hanning window is:
w(n)
= 0.5* (1.0 - cos (2*PI*n/N)) n =
0,1,….,N
This window
gives an effective noise bandwidth of 1.5 times the frequency spacing.
Reference results
Imported signal
The imported
signal is shown in Figures 1 & 2.
Basic Statistics
The basic statistics for the selected section of data are:
Maximum value 14.4652kN Located
at 150.5824Sec
Minimum value -.2512kN Located
at 102.2682Sec
Mean value 4.8347kN
Root mean square value 5.1625kN
Standard deviation 1.8103kN
Number of points 79066
NOTE maximum and minimum signal locations are referred to the original
signal start.
RMS Spectral Density results.
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Figures
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Frequency spacing of points
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Signal Condition
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Reference points
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Point No.
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Value
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Point No
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Value
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Point No.
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Value
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Point No.
|
Value
|
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RMS_1
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3 & 4
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0.30762 Hz
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Signal
including mean
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1
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X=0.0
Y=4.8406
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8
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X=2.1533
Y=0.5531
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17
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X=4.922
Y=0.4338
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28
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X=8.306
Y=0.3166
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RMS_2
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5 & 6
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0.076905 Hz
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Signal
including mean
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1
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X=0.0
Y=4.8447
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29
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X=2.153
Y=0.3291
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65
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X=4.922
Y=0.2813
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110
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X=8.383
Y=0.1951
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RMS_3
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7 & 8
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0.30762 Hz
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Signal with
mean removed
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1
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X=0.0
Y=0.1568
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8
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X=2.153
Y=0.5531
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17
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X=4.922
Y=0.4338
|
28
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X=8.306
Y=0.3166
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RMS_4
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9 & 10
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0.076905 Hz
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Signal with
mean removed
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1
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X=0.0
Y=0.1265
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29
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X=2.153
Y=0.3291
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65
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X=4.922
Y=0.2813
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110
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X=8.383
Y=0.1951
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Figure
2 Selected section of signal

Figure 3
RMS Spectrum of selected section of signal including mean at 0.30762 Hz
frequency spacing.

Figure 4
RMS Spectrum of selected section of signal including mean at 0.30762 Hz
frequency spacing.

Figure 5
RMS Sectrum of selected section of signal including mean at 0. 0769Hz frequency
spacing.

Figure 6
RMS Spectrum of selected section of signal including mean at 0. 0769Hz
frequency spacing.

Figure 7
RMS Spectrum of selected section of signal with mean removed at 0.30762 Hz
frequency spacing.

Figure 8
RMS Spectrum of selected section of signal with mean removed at 0.30762 Hz
frequency spacing.

Figure 9
RMS Spectrum of selected section of signal with mean removed at 0. 0769Hz
frequency spacing.

Figure
10 RMS Spectrum of selected section of signal with mean removed at 0.0769 Hz
frequency spacing.
Acceptable tolerance in
computed results
The tolerance
on the results of the specified analyses should as follows:
Signal Statistics
Number of samples processed should be exact.
Other results should be accurate to 4 significant figures. (This is
considered to be acceptable for normal analysis purposes)
RMS Level spectra
As will
be noted from the plots the signals reach a noise floor above approximately 100
Hz and it is recommended that comparisons with the reference results should
only be made in the range 0 to 60 Hz.
Due to differences in computational algorithms it is not anticipated
that exact agreement will be attained. However, good agreement should be
achieved for the significant peaks in respect to both amplitude and frequency.
Typical benchmark 5 erroneous
results and their causes
If good
agreement is not achieved for the basic statistics then the tests specified in
benchmarks 1-3 should be run to check that good agreement for basic statistics
for deterministic signals could be obtained ensuring that the computation of
the statistics is correct. If results from benchmarks 1-3 are correct then the
length of data in the selected section and its position within the original
data should be checked.
Overlaying the
supplied reference spectra on the locally derived spectra best checks computed
spectra.
Possible causes
of differences are:
Incorrect application of or failure to apply the Hanning window. Difference in overlapping of spectral segments. Incorrect scaling of first and last point in the spectra. Differences in methods employed for normalizing to zero mean. Incorrect handling of an incomplete block at end of data.
Results return documents.
In order to aid
the working party in the development of benchmark data users are invited to
submit the results obtained when employing the tests. These submissions will be
assessed by the working party and summaries may be used in presentations and
publications of the working party’s activities.
If you wish to
submit results please use the document contained in Appendix A.
Appendix A
Benchmark 5
Analysis results return.
Name: Organisation: Date:
Address:
Email: Tel: Fax:
Analysis Package used: Version:
Computer Hardware and operating system details
Processor: Speed:
Memory
size: Mb:
Operating System: Version:
Results for basic statistics
Maximum value Located at
Mean Value
Standard
Deviation Value
Number of
points
Spectral Density Results
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Point
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Values
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Point
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Values
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Point
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Values
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Point
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Values
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RMS_1
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1
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X=
Y=
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8
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X=
Y=
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17
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X=
Y=
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28
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X=
Y=
|
|
RMS_2
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1
|
X=
Y=
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29
|
X=
Y=
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65
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X=
Y=
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110
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X=
Y=
|
|
RMS_3
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1
|
X=
Y=
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8
|
X=
Y=
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17
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X=
Y=
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28
|
X=
Y=
|
|
RMS_4
|
1
|
X=
Y=
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29
|
X=
Y=
|
65
|
X=
Y=
|
110
|
X=
Y=
|
Please detail
any differences found and supply the data in ASCII form in datasets named
where Identifier your name and signal
is the appropriate signal name.
Comments:
Suggestions
for further benchmark tests:
Return results to: Dr. B. J .May 1, Westhall Road, Mickleover, Derby. DE3 0PA. UK
Email: verification@e-i-s.org.uk Tel/Fax: +44 (01332) 737034
NOTES:
1.
Numeric
precision
All results should be quoted to 4 significant figures.
2.
Trailing
zeros
Trailing zeros may be suppressed.
3.
Use of
results
The
working party may make use of the information received in Analysis results
returns for the purpose of promoting the work of the party and for informing
the Data Analysis community of the variation of results obtained.
When
results are used for presentations no reference will be made to either the
source or analysis package employed.
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