BM3_Documentation

 

Data analysis software verification Benchmark 3
Using Group C signals

Function of test

 

The function of this test is to check the computation of statistics for Periodic wave signals and narrow band random signals.

 

The statistics to be computed are:

    Number of Values
    Maximum signal level
    Minimum signal level
    Mean level
    Standard deviation
    Root mean square
    Skew
    Kurtosis 

Test Group C Signal Details

The data is simulated 16 bit Analogue to Digital Converter (ADC) output. The data is scaled to a full-scale range of +/-10 Volts.

Twenty eight files are supplied for this test group.

All files have names starting with EIS_DATA_C_

1_short_V1.TXT          Short duration sine wave signal with
                                zero mean and integral number of waves.

1_long_V1.TXT          Long duration sine wave signal with
                              zero mean and integral number of waves.

2_short_V1.TXT          Short duration sine wave signal with
                                zero mean and non-integral number of waves

2_long_V1.TXT          Long duration sine wave signal with
                              zero mean and non-integral number of waves

3_short_V1.TXT          Short duration sine wave signal with
                                non-zero mean and integral number of waves.

3_long_V1.TXT          Long duration sine wave signal with
                              non-zero mean and integral number of waves.

4_short_V1.TXT          Short duration sine wave signal with
                                non-zero mean and non-integral number of waves.

4_long_V1.TXT          Long duration sine wave signal with
                              non-zero mean and non-integral number of waves.

5_short_V1.TXT          Short duration triangular wave signal with
                                zero mean and integral number of waves.

5_long_V1.TXT          Long duration triangular wave signal with
                              zero mean and integral number of waves.

6_short_V1.TXT          Short duration triangular wave signal with
                                zero mean and non-integral number of waves.

6_long_V1.TXT          Long duration triangular wave signal with
                              zero mean and non-integral number of waves.

7_short_V1.TXT          Short duration triangular wave signal with
                                non-zero mean and integral number of waves.

7_long_V1.TXT          Long duration triangular wave signal with
                              non-zero mean and integral number of waves.

8_short_V1.TXT          Short duration triangular wave signal with
                                non-zero mean and non-integral number of waves.

8_long_V1.TXT          Long duration triangular wave signal with
                              non-zero mean and non-integral number of waves.

9_short_V1.TXT          Short duration triangular wave signal with
                                zero mean and integral number of waves.

9_long_V1.TXT          Long duration triangular wave signal with
                              zero mean and integral number of waves.

10_short_V1.TXT          Short duration mixed sine wave signal with
                                 zero mean and non-integral number of waves

10_long_V1.TXT          Long duration mixed sine wave signal with
                                zero mean and non-integral number of waves.

11_short_V1.TXT          Short duration mixed sine wave signal with
                                 non-zero mean and integral number of waves.

11_long_V1.TXT          Long duration mixed sine wave signal with
                                non-zero mean and integral number of waves.

12_short_V1.TXT          Short duration mixed sine wave signal with
                                 non-zero mean and non-integral number of waves.

12_long_V1.TXT          Long duration mixed sine wave signal with
                                non-zero mean and non-integral number of waves.

13_short_V1.TXT          Short duration narrow band random signal with
                                 non-zero mean and integral number of waves.

13_long_V1.TXT          Long duration narrow band random signal with
                                non-zero mean and integral number of waves.

14_short_V1.TXT          Short duration narrow band random signal with
                                 non-zero mean and non-integral number of waves.

14_long_V1.TXT          Long duration narrow band random signal with
                                non-zero mean and non-integral number of waves.

Analysis parameters to be used

The data is supplied in ASCII form and each file represents one signal. When loaded into an analysis package the data should be set to a sample rate of 250 samples per second.

In each case the analysis should be performed on the entire signal.

 

Reference results

The design cases for the signals are:

    Sine wave signals

1_short

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 8000 samples

1_long

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 128000 samples

2_short

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 8054 samples

2_long

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 128054 samples

3_short

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 8000 samples

3_long

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 128000 samples

4_short

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 8054 samples

4_long

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 128054 samples

Based on the above the reference results for the sine wave signals are as shown in Table 1.


 

Signal

No. Samples

Max. level

Min. level

Mean

R.M.S.

S. D.

Skewness

Kurtosis

1_short_V1

8000

3.7563

-3.7563

0.0

2.65627

2.65627

0.0

1.49981

1_long_V1

128000

3.7563

-3.7563

0.0

2.65612

2.65612

0.0

1.49999

2_short_V1

8054

3.7563

-3.7563

0.0001044

2.65652

2.65652

-0.000115922

1.49955

2_long_V1

128054

3.7563

-3.7563

0.000006566

2.65613

2.65613

-0.000007292

1.49997

3_short_V1

8000

5.6343

-1.8783

1.878

3.2531

2.65627

0.0

1.49981

3_long_V1

128000

5.6343

-1.8783

1.878

3.25297

2.65612

0.0

1.49999

4_short_V1

8054

5.6343

-1.8783

1.8781

3.25336

2.65652

-0.000115917

1.49955

4_long_V1

128054

5.6343

-1.8783

1.87801

3.25299

2.65613

-0.000007287

1.49997

Note:  All results have been evaluated to the same precision but trailing zeros have been suppressed for clarity.

Table 1 Reference Results for sine wave signals
 

    Triangular wave signals

In all cases the positive and negative slopes are of equal duration.

5_short

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 8000 samples

5_long

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 128000 samples

6_short

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 8054 samples

6_long

    Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz, 128054 samples

7_short

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 8000 samples

7_long

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 128000 samples

8_short

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 8054 samples

8_long

    Positive level +9.3906 V, Negative level –5.6346 V, Frequency 4.517 Hz, 128054 samples

Based on the above the reference results for the triangular wave signals are as shown in Table 2.

 

Signal

No. Samples

Max. level

Min. level

Mean

R.M.S.

S. D.

Skewness

Kurtosis

5_short_V1

8000

7.5126

-7.5126

0.0

4.33774

4.33774

0.0

1.79985

5_long_V1

128000

7.5126

-7.5126

0.0

4.33749

4.33749

0.0

1.80006

6_short_V1

8054

7.5126

-7.5126

0.000141782

4.33815

4.33815

-0.0000799042

1.79953

6_long_V1

128054

7.5126

-7.5126

0.000008917

4.33751

4.33751

-0.00000502614

1.80004

7_short_V1

8000

9.3906

-5.6346

1.878

4.72683

4.33774

0.0

1.79985

7_long_V1

128000

9.3906

-5.6346

1.878

4.72659

4.33749

0.0

1.80006

8_short_V1

8054

9.3906

-5.6346

1.87814

4.72726

4.33815

-0.0000799048

1.79953

8_long_V1

128054

9.3906

-5.6346

1.87801

4.72662

4.33751

-0.00000502671

1.80004

Note:  All results have been evaluated to the same precision but trailing zeros have been suppressed for clarity.

Table 2 Reference Results for triangular wave signals

 

    Mixed sine wave signals

In all cases the signals are made up from the summation of 2 sine waves of equal amplitude but differing frequencies.

9_short 8000 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz

9_long 128000 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz

10_short 8054 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz

10_long 128054 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz

11_short 8000 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz
    Mean offset 1.878

11_long, 128000 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz
    Mean offset 1.878

12_short 8054 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz
    Mean offset 1.878

12_long 128054 samples

    Sine wave 1 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 4.5 Hz,
    Sine wave 2 Positive level +3.7563 V, Negative level –3.7563 V, Frequency 8.0 Hz
    Mean offset 1.878

Based on the above the reference results for the mixed sine wave signals are as shown in Table 3.

Signal

No. Samples

Max. level

Min. level

Mean

R.M.S.

S. D.

Skewness

Kurtosis

9_short_V1

8000

7.4978