Benchmark 4 Documentation
 
 

 

 
 

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.

    EIS_DATA_D2_4_V1.TXT

Which contains data acquired at 630 samples per second

The units are: kN

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

The reference results quoted below have been computed using DATS for Windows Version 6.0.23

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.

Results of the spectral density analyses are detailed in the table below.

It is recommended that checks on the RMS results be carried out at 4 spot points in each of the spectra as shown in the table.

 

Figures

Frequency spacing of points

Signal Condition

Reference points

Point No.

Value

Point No

Value

Point No.

Value

Point No.

Value

RMS_1

3 & 4

0.30762 Hz

Signal including mean

1

X=0.0

Y=4.8406

8

X=2.1533

Y=0.5531

17

X=4.922

Y=0.4338

28

X=8.306

Y=0.3166

RMS_2

5 & 6

0.076905 Hz

Signal including mean

1

X=0.0

Y=4.8447

29

X=2.153

Y=0.3291

65

X=4.922

Y=0.2813

110

X=8.383

Y=0.1951

RMS_3

7 & 8

0.30762 Hz

Signal with mean removed

1

X=0.0

Y=0.1568

8

X=2.153

Y=0.5531

17

X=4.922

Y=0.4338

28

X=8.306

Y=0.3166

RMS_4

9 & 10

0.076905 Hz

Signal with mean removed

1

X=0.0

Y=0.1265

29

X=2.153

Y=0.3291

65

X=4.922

Y=0.2813

110

X=8.383

Y=0.1951

 

The reference results datasets names are of the form EIS_BM_5_RESULT_{qualifier}.TXT where qualifier is as given above.


Figure 1  Original signal

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

 

Minimum value                   Located at

Maximum value                   Located at

Mean Value

Root Mean Square Value

Standard Deviation Value

Number of points

 

Spectral Density Results

 

Comparison of reference points

 

 

Point

Values

Point

Values

Point

Values

Point

Values

RMS_1

1

X=

Y=

8

X=

Y=

17

X=

Y=

28

X=

Y=

RMS_2

1

X=

Y=

29

X=

Y=

65

X=

Y=

110

X=

Y=

RMS_3

1

X=

Y=

8

X=

Y=

17

X=

Y=

28

X=

Y=

RMS_4

1

X=

Y=

29

X=

Y=

65

X=

Y=

110

X=

Y=

Please detail any differences found and supply the data in ASCII form in datasets named

    {Identifier}_BM_6_RESULT_{signal}.TXT

 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.

  

    

 

Copyright(c) 2003 Engineering Integrity Society. All rights reserved.
verification@e-i-s.org.uk