Chapter 12

Calibration

During an (immunity) calibration, RadiMation^® stores all settings and used equipment during the calibration in the final calibration (CAL) file. All these important settings (like start frequency, stop frequency, probe response time, frequency step size, calibration type (FWD, transmitted or signal generator level, etc.) are recorded.

Furthermore, the following graphs are stored:

• The achieved field strength (or current or voltage) during calibration.
• The signal generator level, necessary to achieve this field strength (or current or voltage level)
• The forward power, necessary to achieve this field strength (or current or voltage level)
• The transmitted power, necessary to achieve this field strength (or current or voltage level)

Note:

When a signal level calibration is made and no power meters are used, the forward and reflected power graphs are not stored. When a forward power calibration is made and no reflected power meter is used, the reflected power graph is not stored.

All this information can later be viewed, reported, processed and printed by the end-user.

To view the results of a calibration, the calibration data can be opened from the menu:

    File

       Open

          Calibration

Then the calibration data window is shown, and the configuration of the calibration, as well as the used equipment and the calibration data is displayed.

Frequency interpolation

RadiMation^® allows you to use a frequency step size during a test, that is different than the frequency step size during the calibration. To have optimal results, RadiMation^® will use a linear interpolation between the frequency point which is just below the desired test frequency ($f_{test-1}$) and the frequency point which is directly above the test frequency ($f_{test+1}$), to correctly calculate the needed power values at the desired test frequency. For the most accurate results it is however advised to perform the calibration in the same frequency range and with the same frequency steps, as will be used during the substitution test. RadiMation^® will not (and cannot) allow that a test is performed on frequencies that is outside the calibrated frequency range.

$P_{test}(f_{test})[W]=P_{calibrated}(f_{test-1})[W]+{\frac {(f_{test}-f_{test-1})\ (P_{calibrated}(f_{test+1})[W]-P_{calibrated}(f_{test-1})[W])}{(f_{test+1}-f_{test-1})}}$

Formula 12-1: Frequency interpolation

Frequency interpolation can be used in combination with Amplitude extrapolation.

Amplitude extrapolation

RadiMation^® allows you to run an immunity substitution test at a different test level the was used during the calibration. To facilitate this, RadiMation^® will use a linear extrapolation from the calibration level to the desired level.

If, for example, at a certain frequency point 100 Watt (+50 dBm) is needed to generate an electrical field of 10 V/m (which is determined during calibration), it is possible to use this calibration file to run a substitution test at 3 V/m. RadiMation^® will recalculate the needed power level to: 50 dBm - 20 log (10/3) = 40 dBm (10 Watt). Of coarse, amplitude extrapolation will reduce the accuracy of the test level and should therefore only be used during pre-compliance tests. For the most accurate results it is therefore advised to perform the calibration on the same test level, as will be used during the test.

${\displaystyle P_{test}(f)[$dBm]=P_{calibrated}(f)[dBm]-20*^{10}log{({\frac {E_{calibrated}(f)[V/m]}{E_{test}(f)[V/m]}})}}

Formula 12-2: Electrical field strength extrapolation

Ampitude extrapolation can be used in combination with Frequency interpolation.

Warning:

The amplitude extrapolation will only be correct if the amplifier works in its linear region, and was not saturated during the calibration.

Calibration methods

RadiMation^® supports three different ways of power calibration. During the configuration of the calibration, the desired method should be selected. During a test, when a calibration file is selected, RadiMation^® will automatically select the method that was used during calibration.

Signal generator level calibration

When a signal generator level calibration is used, only the signal generator level is recorded during the calibration. During a test, the signal power that was recorded during a calibration will be re-established. This method does not take amplifier instability or fluctuation into account. During this calibration method no forward and reflected powermeters are required. This method is less accurate than the Forward power and Net power calibrations and therefore is not recommended for full compliance tests. Because no powermeters are used, this method is the fastest method to perform a test.

Forward power calibration

During a Forward power calibration, the forward power to the transmitting antenna is recorded. During a test, the Forward power to the antenna is kept the same as during the calibration. When this method is used, amplifier drift will have no influence on the test, because the same output power out out of the amplifier is re-established as was present during the calibration.

Net power calibration

During a Net power calibration, the Forward and Reflected power to the antenna are recorded. The difference between the Forward power and Reflected power is the Transmitted power. When net power is calibrated, then during the test, the transmitted power by the antenna is kept the same as during calibration. This method has the advantage, that the transmitted power is adjusted to be the same as during the calibration, also when a large metallic, EUT is placed in front of the antenna. In that situation some RF energy can be reflected back into the antenna, resulting in a worse VSWR. If in this situation a forward power calibration or a signal generator level calibration was used, this effect is not compensated for.

Radiated Immunity calibration

Calibration of the radiated immunity test set-up is necessary when tests in accordance to the substitution method are performed. During a calibration, the empty anechoic chamber is calibrated. During this calibration the power to the transmitting antenna is recorded, which is necessary to achieve the desired field strength in the anechoic chamber. During the substitution test, the EUT is placed inside the anechoic chamber, and the same power is applied to the transmitting antenna. With the same power applied to the transmitting antenna, it is assumed that the the EUT is located in an electrical field that is the approximately the same as during the calibration.

Some standards describe two different methods for the actual way of levelling to a required test-level. These methods are often called the: 'Constant field strength calibration method', and the 'Constant power calibration method'. During the one-point calibrations, RadiMation^® will always use the 'constant field strength calibration method' that is described by the standards. This method has several advantages:

• Some fieldsensors have problems with their accuracy at the overlapping of their measurements ranges. To avoid these problems it is better to always level to the same field strength level, which will result in the usage of the same measurement range of the field sensor.
• With the constant field strength calibration method, it is more obvious if the required field strength level can be achieved. If the 'constant power calibration method' is used, there may be a big dip or peak in the calibration. This can result in interpolation errors. For example, a constant power calibration at 50 dBm can generate a field of 100 V/m at 100 MHz, and in the same calibration it is possible that a field of 80 V/m is generated at 800 MHz, due to the amplifier/powermeters/cables and couplers characteristics. If with these calibration results, a substitution is performed for a fixed field of 110 V/m, the error that is made as a result of the extrapolation from 100 V/m will be much smaller then from 80 V/m.
• The linearity error from the field sensor is much larger than the linearity error of the powermeter. When a 'constant field calibration method' is used, the error caused by the linearity of the fieldsensor is reduced to a minimum because the field sensor is always levelled to the same measurement value. The powermeter will perform measurements over a larger amplitude range, but the dynamic range of all powermeters is large enough to have a minimal linearity error. So when the calibration is levelling on the field sensor, the linearity error of the calibration is minimal.

One-point calibration

During a one-point calibration, RadiMation^® for each frequency point increases the power to the antenna, until the desired field strength is reached. Then, depending on the type of calibration method, RadiMation^® records the Signal generator level, forward power and/or the transmitted power in the calibration file.

To start a one-point calibration, close all EUT windows. And select the one-point calibration from the menu:

    Calibration

       Radiated Immunity

          1 Point Calibration

The Radiated Immunity calibration configuration window will appear, which allows modification of the settings for the calibration.

The one-point calibration is also able to perform a calibration of a triplate setup. The triplate calibration is required, to perform the triplate test. With the triplate calibration it is also possible to determine the impedance of the triplate, which is needed to calculate the field. The difference between a anechoic chamber calibration and a triplate calibration is the out power. To perform a triplate calibration the Net-power calibration method as well as the out-power method needs to be selected.

To define the fieldprobe position height during a triplate calibration, use the antenna distance. The selection of a polarization does not influence the triplate calibration, and it will thus be ignored.

Device name	Tab in RadiMation®configuration window
Signal Generator	Standard 1
Amplifier	Standard 1
Coupler	Standard 1
Power meter Pfwd	Standard 1
Power meter Refl	Standard 1
Antenna	Standard 1
Field sensor	Field probes

Cables

#	Device name	Tab in RadiMation® configuration window
1	Sign-> Amp	Cables
2	Amp-> Coupler	Cables
3	Coup->Ant	Cables
4	Coup->Pfwd	Cables
5	Coup->Pref	Cables

Note:

Usage of cable correction factors is not mandatory. However, using correction factors will increase measurement accuracy during immunity measurements. When in doubt contact your reseller.

Uniform Field Area calculation

The EN 61000-4-3 (and other standards) state that the anechoic chamber must have a homogeneous electrical field distribution in a 1.5 m x 1.5 m square area, 80 cm. above the ground.

The electrical field is defined to be homogeneous if, at 12 of 16 points in the 1.5 m x 1.5 m square the field strength lies between the desired value and the desired value plus 6 dB.

If, for example, the field homogeneity check is made at a field strength of 10 V/m, 12 of the 16 calibration points must lie between 10 V/m and 20 V/m.

Also based on this information, a power curve can be calculated, which can best be used during a substitution test, to achieve a homogeneous electrical field.

RadiMation^® is able to verify and calculate the homogeneous field distribution in the 'Uniform Field Area calculation'. The input for this calculation are sixteen '1 point calibrations'. All these 16 single point calibrations, should be performed first, after which the 16 point field homogeneity verification software can be used to verify the field homogeneity in the anechoic chamber.

The Uniform Field Area calculation not only allows the calculation of this specific configuration, but it is more flexible. It is not necessary to have exactly 16 calibration points. The calculation can also be performed with less then 16 calibration points. The calculation is also able to perform calculations on calibrations that are performed on a triplate.

The Uniform Field Area calculation is started by selecting from the menu:

    Calibration

       System Calibration

          Radiated immunity

             Uniform Field Area calculation

In the Uniform Field Area calculation, after a preconfigured Uniform Field Area calculation TSF file is selected, the configuration window of the calculation is shown.

The RadiMation^® package supports different ways to calculate the homogeneity of a field, and some other settings can also be configured.

Description

The name of the selected TSF file

Calibrations

The list of calibration files that should be included in the calculation. At least 2 calbiration files should be selected, and more than 16 calibration files can be used. The correct calibration files can be added by pressing on the Add button. All the selected calibration files should have the same frequency range, frequency step, calibrated field strength level and antenna polarization. Any variation in these parameters between the selected calibration files, can result into not accurate results of the calculation. The Uniform Field Area calculation therefore requires that the same frequency range, frequency step, calibrated field strength level and antenna polarization are used in the selected calibration files. If a calibration file is selected which has different settings compared to one of the other already selected calibration files, an error will be shown.

Point Setup

The layout of the points can be manually modified to be corresponding with the numbering that is used during the calibration of each individual point.

Number of points to remove

It is not required that always 4 calibration points are discarded during the calculation. The number in the Number of points to remove box, determines the number of calibration points that will be discarded during the calculation. This number should be between 0 and the number of calibration files that are selected.

Calculation Method

The calculation method that should be used by the Uniform Field Area calculation, to calculate the homogeneity. The following methods are supported: EN 61000-4-3 1995 (Average Power) EN 61000-4-3 2002 (Average Field) EN 61000-4-3 2002 Amendment 1 (Maximum Power) EN 61000-4-3 2006 (Constant field method) EN 61000-4-3 2006 (Constant power method) EN 61000-4-3 2008 (Constant field method) EN 61000-4-3 2008 (Constant power method) EN 61000-4-3 2010 (Constant field method) EN 61000-4-3 2010 (Constant power method) ISO 11451-2 SAE J1113-25

Start Frequency

Shows the start frequency of the selected calibration files.

End Frequency

Shows the end frequency of the selected calibration files.

Step Frequency

Shows the step frequency that is used in the selected calibration files.

Field

Shows the field strength level that was used in the selected calibration files.

Calculate 1 Time

During some calculations, the average field of the remaining calibration points is calculated, to determine the calibration point that should be discarded. When the Calculate 1 Time option is selected, the average field will not be recalculated when the calibration point is discarded. With this option activated, the calculation for each frequency point, will take the average field of all the calibration points once, and will determine the four calibration points which differ the most from the calculated average field. This option can result in a different calculation, compared to the Calculate 4 Times option.

Calculate 4 Times

During some calculations, the average field of the remaining calibration points is calculated, to determine the calibration point that should be discarded. When the Calculate 4 Times option is selected, the average field will be recalculated when a calibration point is discarded. A removal of a calibration point will influence the average field of the remaining points, and this can influence the calibration point that should discarded next. This option can result in a different calculation, compared to the Calculate 1 Time option.

Auto-Layout

The auto-layout function can be used to automatically layout the points in the grid. It is possible to specify the number of rows and columns, but also where the first point (number 1) should be positioned. After an auto-layout is performed, it is still possible to modify the layout of the points.

Calculate

Closes the configuration window, and starts the calculation of the homogeneity of the anechoic chamber, based on the selected calibration files and settings.

Cancel

Closes the configuration window, and now calculation will be performed.

Note	Shows the Note window, in which a Note can be specified.

Units

Shows the Units window, where the used units can be configured.

EN 61000-4-3 1995 calculation

The EN 61000-4-3 standard contains a description of the uniform field, which specifies that at least 12 of the 16 calibration points should be within a -0 dB to +6 dB tolerance.

The Uniform Field Area calculation, first normalizes the power levels of all the frequencies in the selected calibration point calibration files, to the electrical field strength for which the Uniform Field Area is calculated. Every calibration file, has small deviations in the measured field strength on each frequency. It is for example possible that a 10.4 V/m (with a forward power of 56.3 dBm) is measured during the calibration of a 10 V/m field strength. This small deviation is normalized to exactly 10 V/m, by adjusting the forward power level to 56.0 dBm (more exact: 55,95933321 dBm). It is necessary to normalize the forward power levels because the differences (0.35 dB in this example) can have it's influence in the reduction of the calibration points.

The 1995 version of the standard describes a method for the reduction of the calibration points, which states that a maximum of 4 points (from the total of 16 calibration points) should be removed that have the greatest deviation. The remaining points should be within +-3 dB. The final calibration file should use the calibration point that has the lowest field strength on each frequency as the reference.

This version standard doesn't describe how the greatest deviation should be calculated. The options Calculate 1 Time and Calculate 4 times, can be used in combination with this standard to achieve the best results.

RadiMation^® performs this calculation method as it is described in the standard.

EN 61000-4-3 2002 calculation

The EN 61000-4-3 standard contains a description of the uniform field, which specifies that at least 12 of the 16 calibration points should be within a -0 dB to +6 dB tolerance. A bigger tolerance (from +6 dB to +10 dB) is allowed for a maximum of 3% of the calibration frequencies.

The Uniform Field Area calculation, first normalizes the power levels of all the frequencies in the selected calibration point calibration files, to the electrical field strength for which the Uniform Field Area is calculated. Every calibration file, has small deviations in the measured field strength on each frequency. It is for example possible that a 10.4 V/m (with a forward power of 56.3 dBm) is measured during the calibration of a 10 V/m field strength. This small deviation is normalized to exactly 10 V/m, by adjusting the forward power level to 56.0 dBm (more exact: 55,95933321 dBm). It is necessary to normalize the forward power levels because the differences (0.35 dB in this example) can have it's influence in the reduction of the calibration points.

The 2002 version of the standard describes a method for the reduction of the calibration points, which states that a maximum of 4 points (from the total of 16 calibration points) should be removed that have the greatest deviation. The remaining points should be within +-3 dB. The final calibration file should use the calibration point that has the lowest field strength on each frequency as the reference.

This version standard doesn't describe how the greatest deviation should be calculated. The options Calculate 1 Time and Calculate 4 times, can be used in combination with this standard to achieve the best results.

RadiMation^® performs this calculation method as it is described in the standard.

EN 61000-4-3 2002 Amendment 1 calculation

The EN 61000-4-3 standard contains a description of the uniform field, which specifies that at least 12 of the 16 calibration points should be within a -0 dB to +6 dB tolerance. A bigger tolerance (from -0 dB to +10 dB) is allowed for a maximum of 3% of the calibration frequencies.

The Uniform Field Area calculation, first normalizes the power levels of all the frequencies in the selected calibration point calibration files, to the electrical field strength for which the Uniform Field Area is calculated. Every calibration file, has small deviations in the measured field strength on each frequency. It is for example possible that a 10.4 V/m (with a forward power of 56.3 dBm) is measured during the calibration of a 10 V/m field strength. This small deviation is normalized to exactly 10 V/m, by adjusting the forward power level to 56.0 dBm (more exact: 55,95933321 dBm). It is necessary to normalize the forward power levels because the differences (0.35 dB in this example) can have it's influence in the reduction of the calibration points.

The 2002 Amendment 1 version of the standard describes a method for the reduction of the calibration points, which states that the required power of all 16 calibration points should be sorted in ascending order. Then from the highest value in the sorted list, it should be checked that the 11 power values below the maximum power are within -6 dB to 0 dB of the maximum power value. If the 12 power values are not within the -6 dB to 0 dB tolerance, the next power value below the maximum should be compared with the 11 power values below it. The -6 dB to 0 dB check should be continued until at least 12 power values are found that are within 6 dB of used maximum power value. The final calibration file should use the calibration point that has the power value that was used as the maximum power value in the list of 12 power levels.

RadiMation^® performs this calculation method as it is described in the standard.

The 2002 Amendment 1 version of the standard also specifies that the calibration should be performed on a field strength that is at least 1.8 times higher than the field strength that will be used during the substitution test. It is also stated that it has to be ensured that the amplifier is not used in a range in which it is saturated. The standard suggests that this can best be achieved by preventing that the amplifier is used above the 1 dB compression point of the amplifier.

EN 61000-4-3 2006 calculation

The EN 61000-4-3 standard contains a description of the uniform field, which specifies that at least 12 of the 16 calibration points should be within a -0 dB to +6 dB tolerance. A bigger tolerance (from -0 dB to +10 dB) is allowed for a maximum of 3% of the calibration frequencies.

The Uniform Field Area calculation, first normalizes the power levels of all the frequencies in the selected calibration point calibration files, to the electrical field strength for which the Uniform Field Area is calculated. Every calibration file, has small deviations in the measured field strength on each frequency. It is for example possible that a 10.4 V/m (with a forward power of 56.3 dBm) is measured during the calibration of a 10 V/m field strength. This small deviation is normalized to exactly 10 V/m, by adjusting the forward power level to 56.0 dBm (more exact: 55,95933321 dBm). It is necessary to normalize the forward power levels because the differences (0.35 dB in this example) can have it's influence in the reduction of the calibration points.

The 2006 version of the standard describes a method for the reduction of the calibration points, which is exactly the same as the method that is described in the 2002, Amendment 1 version of the standard.

RadiMation^® performs this calculation method as it is described in the standard. There is no difference in the calculation of the 2002, Amendment 1 and the calculation of the 2006 version. RadiMation^® will perform the Uniform Field Area calculation exactly the same for both these versions.

The 2006 version of the standard also specifies that the calibration should be performed on a field strength that is at least 1.8 times higher than the field strength that will be used during the substitution test. It is also stated that it has to be ensured that the amplifier is not used in a range in which it is saturated. The standard suggests that this can best be achieved by one of the following procedures:

• Use the final calibration result file, to perform a signal generator level substitution test on a field strength level that is 1.8 times lower than the calibrated field strength. The forward power of the calibration file, and the forward power during the substution test should then be within 3.1 dB to 5.1 dB difference.
• Determine the 1 dB compression point of the amplifier, and ensure that the amplifier is not used above the determined 1 dB compression point. However due to impedance mismatches during the compression point calibration and the field strength calibration, this 1 dB compression point calibration is still no 100% guarantee that the amplifier is not used without saturation. In this case it is accepted that the 2 dB compression point of the amplifier is used as the maximum forward power level of the amplifier during the field strength calibration.

EN 61000-4-3 2008 calculation

The 2008 version of the EN 61000-4-3 standard describes a method for the reduction of the calibration points, which is exactly the same as the method that is described in the 2006 version of the standard.

EN 61000-4-3 2010 calculation

The 2010 version of the EN 61000-4-3 standard describes a method for the reduction of the calibration points, which is exactly the same as the method that is described in the 2006 version of the standard.

ISO 11451-2 calculation

The ISO 11451-2 standard specifies that a calibration can be performed on a single location, on 2 different location or on 4 different locations.

The calculated calibration file should use the average of the calibration points.

RadiMation^® performs this calculation method as it is described in the standard.

SAE J1113-25 calculation

The SAE J1113-25 standard describes how Radiated Immunity measurements can be performed by using the triplate line method.

The following formulas are used to determine the impedance of the triplate

$Z(f)[\Omega ]=h^{2}*{\frac {({E_{avg}(f)[V/m]})^{2}}{P_{mid}(f)[W]}}$

Formula 12-3: Impedance calculation of a triplate

$P_{mid}(f)[W]={\frac {P_{net}(f)[W]+P_{out}(f)[W]}{2}}$

Formula 12-4: Middle power calculation of a triplate

Uniform Field Area calculation results

After RadiMation^® has calculated the Uniform Field Area calculation, a graphical representation of the calibrations results will be displayed. The calculated information can also be saved to a calibration file, so the results of the Uniform Field Area calculation can be used during a substitution test.

The graphical representation of the calculation is shown as 16 coloured dots on the screen. Each dot represents a calibration point in the anechoic chamber. The colours of the dots have the following meaning:

• Green dot: This calibration point is one of the remaining calibration points, which are taken into account for the calibration file.
• Yellow dot: This calibration point is one of the calibration points, which are discarded by the calculation. This calibration point is one of the Number of points to remove.
• Red dot: This calibration point was not discarded by the calculation, and is thus used in the final calculation of the needed power. However, it has an error of more than 6 dB compared to the ideal calculated power. This means that this calibration point does not meet the requirements for the field homogeneity in the anechoic chamber.

Points

The graphical representation of the individual points

Frequency

Selects the frequency for which the coloured dots should be shown.

Field

Shows the electrical field graph for the calculated calibration file. Because the Uniform Field Area calculation always normalizes the field strength from the selected calibration files to the requested field strength, this graph will always be a straight line that is exactly the requested field strength on all the frequencies.

Signal Power

Shows the signal power graph for the calculated calibration file.

Forward Power

Shows the forward power graph for the calculated calibration file. This graph is only available if the forward or net power calibration method was selected in the original calibration files.

Net Power

Shows the net power graph for the calculated calibration file. This graph is only available if the net power calibration method was selected in the original calibration files.

Out Power

Shows the output power graph for the calculated calibration file. This graph is only available if the output power of a triplate was also measured in the original calibration files.

Mid Power

Shows the mid power graph for the calculated calibration file. This graph is only available if the output power of a triplate was also measured in the original calibration files.

Overall error graph

Shows the error graph of the calibration points that are used during the calculation of the calculated calibration file. The maximum error of the remaining calibration points is shown in this graph. All the values in this graph should be below 6 dB, otherwise the homogeneity of the anechoic chamber doesn't fullfill the electrical field strength requirements. The frequencies at which the Overall error graph is more than 6 dB, are the problematic frequencies for the calibrated anechoic chamber.

Power Graph

When this option is selected, a mouse click on one of the coloured dots, will show the Power Graph for that calibration point.

Field Graph

When this option is selected, a mouse click on one of the coloured dots, will show the Field Graph for that calibration point.

Error Graph

When this option is selected, a mouse click on one of the coloured dots, will show the Error Graph for that calibration point.

Close

Closes the result window, without saving the calculation results into a calibration file.

Save As...

Shows a Save Calibration As window, where the calculation results can be saved into a calibration file. This calibration file can later be used in a substitution test, to generate an optimal uniform electrical field. The saved calibration file is another 1-point calibration file. This calibration file can be opened and reviewed again, but it will only contain the information of the calculated calibration. The saved calibration file will not contain the information of all the calibrated points, and the error graphs. The Uniform Field Area calculation does normalize the field strength level that was measured in the individual calibration points. As a result of this, the Uniform Field Area calculation is calculating and comparing all the field strength levels and their corresponding power values to the requested field strength level. This will result into a final calibration file, which has a field strength graph that is exactly the requested field strength on all the frequencies.

For each coloured dot, also a graph can be shown, which shows the relevant information for that specific calibration point. These graphs can be shown by clicking on one of the dots. Depending on the selected Power Graph, Field Graph or Error Graph option, the corresponding graph will be shown.

• Power Graph: Shows the power that is used to achieve the desired electrical field strength level during the calibration of the calibration point. This graph is corrected for the error and tolerance that occurred during the calibration. If the calibration is made at a test level of 10 V/m with an tolerance of 1 V/m, the Uniform Field Area calculation will more accurately determine the power that is needed to exactly achieve 10 V/m (even if the calibration is made at for example 10.4 V/m).
• Field Graph: When the final calibration file is used in a substitution test, the Field graph displays the calculated field that will be generated at the selected calibration point.
• Error Graph: The Error Graph display the error for the selected calibration point, which is the difference between the power level on the selected calibration point, and the most ideal calibration point. On frequencies where the calibration point was discarded during the Uniform Field Area calculation, the graph will show a 0 dB error value.

In the power graph it is possible to show the following points:

• Calculated Power: This is the result of the UFA calculation, and this is the power used to get the required field and have 12 points within the 6 dB.
• Calculated Power (-6 dB): This field is to show the lower bound in the graph

Conducted immunity calibration

Calibration methods

Calibration of the conducted immunity test set-up is necessary when tests in accordance with the substitution method are performed. During the calibration, the current in a reference wire is determined, and the power to the injection device is recorded.

During the test, the injecting device is connected to a cable of the EUT and the same power is injected into the cable by the usage of the injection device.

The transfer correction needs to be corresponding to the setup situation in order to obtain correct measurements, referring to Calibration Jig Transfer correction

Voltage calibration

The EN 61000-4-6 decscribes testing based on an EUT cable impedance of 150 Ω. To calibrate the test system, a cable with a characteristic impedance of 150 Ω is used. This reference cable is placed in the injection clamp. The left side of this cable is terminated through a 150 Ω terminator resistor. The right side of the cable is terminated with a 100 Ω resistor in series with a 50 Ω power meter. The measured power in the 50 Ω powerhead can be used to calculate the RF current in the 150 Ω reference wire.

The test level $U_{rms}$, as described in the EN 61000-4-6 is the output voltage of an unterminated generator (or amplifier). The current injected in a 150 Ω wire will thus be $I_{injected}={\frac {\frac {U_{rms}}{2}}{150[\Omega ]}}$.

If an injection clamp with a 50 Ω input impedance is used, the voltage applied to the input of the injection clamp will be ${\frac {U_{rms}}{2}}$.

By measuring the voltage across the 50 Ω powerhead, the calibration software determines the signal generator level which generates the desired current in the reference cable.

${\displaystyle U_{powerhead}[V]=U_{rms}[V]-6[$dB]-20*^{10}log{\frac {50[\Omega ]}{150[\Omega ]}}=U_{rms}[V]-15.6[dB]}

Formula 12-5: Expected powermeter reading

Example:

Test level according to EN 61000-4-6: 10 Vrms (140 dBuV) testlevel. Measured value at the powerhead: ${\displaystyle U_{powerhead}[dBuV]=140[dBuV]-15.6[$dB]=124.4[dBuV]} . In a powerhead with a 50 Ω impedance this will be: ${\displaystyle P_{powerhead}=124.4[dBuV]-107=17.4[$dBm]} .

The calibration is carried out with an unmodulated test signal.

Setting name	Description
Frequency Range	The start and stop range can be set here. Also an frequency list can be added. Correction files can be used as frequency list if the correction file contains a frequency column.
Step	The step size can either be liniar or logarithmic.
Test-Level	The test level can be set to a constant level. For the Variable test-level, a cor file can also be used. This can be the same file as for the Frequency List.
Harmonics	The amount and type can be selected.
Calibration Method	Selection of 3 different methods.
Power meter settings	Choose the ammount of samples before continueing to the next frequency.
Test site	For every test, a test site must be selected.

Cables

#	Device name	Tab in RadiMation® configuration window
1	Sign-> Amp	Cables
2	Amp-> Coupler	Cables
3	Coup->Ant	Cables
4	Coup->Pfwd	Cables
5	Coup->Pref	Cables
6	Curr->Sens	Cables

Note:

Usage of cable correction factors is not mandatory. However, using correction factors will increase measurement accuracy during immunity measurements. When in doubt contact your reseller.

Current calibration

Verification procedure:

After a calibration has been carried out, the calibrated test set-up can be checked by the following procedure. The same set-up is made as during calibration. As an extra check, a measuring current probe is placed around the 150 Ω reference wire. After the calibration has been completed, a radiated immune, substitution test is made with a test level of 10 Vrms.

The theoretical current with a test level of 10 Vrms will be: (Urms/2) / 150 = 33 mA

When a current probe with an transfer impedance of 1 Ω is used, a voltage of 33 mV should be measured (or approximately 90 dBuV).

System Calibration

System calibrations are performed on a test setup, before the test setup can be used to perform the actual calibration on a device that should be calibrated. Some examples of supported (system) calibrations are:

1. Attenuation measurements of cables, couplers or other attenuators.
2. 1-16 point calibration of anechoic chamber before a radiated immunity test can be performed.
3. Calibration of conducted immunity setup before a conducted immunity test can be performed.
4. Open/Short/Through calibration of network analyzer before S-parameter measurement can be performed.

Attenuation system calibration

During the system calibration for the attenuation the complete set up is connected but without the EUT.

During the system calibration the signal generator is turned on and off at each frequency to determine the dynamic range at that certain frequency. The flow chart below describes the system calibration. The routine has been optimized for the least amount of power switching. The system calibration for attenuation is performed in two steps:

1. The frequency response of the signal generator and power meter is determined. The measurement response is used as a correction for the actual attenuation calibration of the d.u.t. during the attenuator calibrations.
2. The dynamic range of the test setup is determined. This is done by switching of the signal generator and measuring of the noise floor.

The dynamic range is the difference between the measured power when the signal generator is on and when the signal generator is off.

${\displaystyle Dynamic\ range[$dB]=P_{on}[dBm]-P_{off}[dBm]}

Formula 12-6: Dynamic range

System calibration set up

Before starting a system calibration, make sure all the EUT windows are closed. The configuration window of a system calibration can be opened by selecting from the menu:

    Calibration

       System Calibration

          Attenuation / Gain

In the configuration window you can define the number of sample that should be taken. The fastest way is one sample but this will disable the calculation of the standard deviation.

Power meter setting

For every frequency the average of all the samples is taken using the formula below

${\displaystyle P_{powermeasurement}(f)[$dBm]=10*^{10}log({\frac {\sum _{N}^{i=1}10^{\frac {P_{powermeter}(f,i)[dBm]}{10}}}{N}})}

Formula 12-7: Average power calculation

As can be seen the average of the power measurement is taken over the linear value.

Note:

The power measurement settings done in the device driver configuration screen are the settings for one sample. This is done because each power meter has a different leveling and measuring time. For the most optimal settings look at the device driver chapter for explanation and tips.

Signal power setting

The signal generator level is set for the complete frequency range, this is desirable because it gives you full control. For example you can set the signal generator level higher when the dynamic range is insufficient, or lower when using a small amplifier.

Reviewing measurement data

During and after the test it is possible to view graphs by pressing the graph buttons.

In the graph window additional graphs for the related information can be added to the graphs. If the system calibration is configured to use multiple samples of the powermeter, the standard deviation of the following items is calculated:

• Dynamic range
• Reference attenuation
• Reference noise floor

Calculation of the standard deviation is done by using the formula:.

$Stddev={\sqrt {\frac {{\sum _{n=1}^{N}}{X}^{2}(n)-N*{({\frac {{\sum _{n=1}^{N}}{X}(n)}{N}})}^{2}}{N-1}}}$

Formula 12-8: Standard deviation

The standard deviation for the dynamic range is calculated using the formula:

$Stddev_{dynamic\ range}={\sqrt {(Stddev_{reference\ attenuation})^{2}+(Stddev_{reference\ noise\ floor})^{2}}}$

Formula 12-9: Standard deviation of the dynamic range

System Compression Calibration

The goal of the system compression calibration is to increase the accuracy of the measurement. It is possible to perform the EUT compression calibration without a system calibration but this will may have a measurement error in the number of 0.3 or 0.4 dB. This error comes from the difference between the signal generator and the power meter. Also attenuator clicks in the signal generator are not corrected. In the ideal situation there is no need for a System calibration.

The general thought behind the calibration is, the signal generator nor the power meter are exactly correct for every frequency and every power level. The signal generator has attenuator switches that can cause an error and the power meter has power ranges that can cause an error. Because this is a relative measurement, the power meter is defined to be infinitely accurate. The software records the difference between the signal generator and the power meter, measured with the new “accurate” power meter.

Note:

Setting the power meter to be infinitely accurate is only valid in a relative measurement. The error caused by the power meter and the signal generator are corrected in the signal generator.

To open the configuration window of a system calibration select. Before starting a calibration of a system make sure all the EUT windows are closed.

    Calibration

       System Calibration

          Gain Compression

In the configuration window you can define the number of sample you want to take. The fastest way is one sample but this will leave the possibility for standard deviation calculation out.

Power meter setting

For every frequency the average of all the samples is taken using the formula below

${\displaystyle P_{powermeasurement}(f)[$dBm]=10*^{10}log({\frac {\sum _{i=1}^{N}10^{\frac {P_{powermeter}(f,i)[dBm]}{10}}}{N}})}

Formula 12-10: Average power calculation

As you can see the average is taken over the linear power value.

Note:

The power measurement settings done in the device driver configuration screen are the settings for one sample. This is done because each power meter has a different leveling and measuring time. For the most optimal settings look at the device driver chapter for explanation and tips.

Signal power setting

The signal generator level is set for the complete frequency range, this is desirable because it gives you full control. For example you can set the signal generator level higher when the dynamic range is insufficient, or lower when using a small amplifier.

Note:

When inserting the calibration in the EUT compression configuration the same test levels are used. It is not possible to change the value, so select the settings with care.

EUT Calibration

EUT calibrations are performed on devices that are considered to be an EUT. For example, during an attenuation calibration, the attenuation of an attenuator, cable or coupler can be measured.

EUT Attenuation Calibration

During an attenuation calibration, the attenuation of an attenuator, cable or coupler can be measured. It is also possible to use the calibration to determine the gain of an amplifier. The attenuation will in this case have a negative value.

EUT Attenuation Calibration

Before an EUT calibration can be performed, the calibration system first needs to be calibrated using a system calibration. After calibrating the EUT there is a possibility to save the measured attenuation into a correction file.

The flowchart below describes the testing procedure used for EUT calibration.

EUT calibration set up

To open the configuration of a calibration, as shown below, make sure the correct EUT window is open. Then select from the menu:

    Calibration

       E.U.T. Calibration

          Attenuation / Gain

Select the correct calibration file and all the other setting will automatically be set.

The EUT calibration is performed with the same configuration settings as the configuration of the system calibration that was selected. This will ensure the lowest error, and the highest accuracy during the calibration:

1. There is no interpolation error possible between frequency points.
2. The calibration is performed at the same signal generator level preventing extra amplitude errors.
3. Error budget calculation is possible

Reviewing measurement data

In the EUT calibration the standard deviation of the following items are calculated:

• Dynamic range
• EUT attenuation

For the dynamic range the standard deviation is calculated with the formula below ${\displaystyle Stddev_{dynamicrange}={\sqrt {(Stddev_{$EUT-attenuation})^{2}+(Stddev_{reference\ noise\ floor})^{2}}}}

Formula 12-11: Standard deviation of the dynamic range

For the attenuation the standard deviation is calculated with the formula below

$stddev_{attenuation}={\sqrt {(stddev_{reference})^{2}+(stddev_{measurement})^{2}}}$

Formula 12-12: Standard deviation of the attenuation

In the information screen you can create a correction file for the attenuation measured. After pressing the “Create correction file” button a save dialog will appear, allowing you to select the desired path and filename for the correction file. This correction file can be attached to the calibrated device. For example, when the frequency response of a cable is measured, the correction file can be attached to the cable device driver, in the configuration menu of the cable.

EUT Compression Calibration

EUT compression calibrations are performed on amplifiers that are considered to be an EUT. The goal of this calibration is to determine the 1 dB or 2 dB compression point. The calibration also allows to calibrate any other compression point, because the required compression levels can be configured in the calibration. It is thus also possible to measure for example the 1 dB and the 3 dB compression points during a single calibration.

Before a EUT calibration can be performed, it is best to first perform the system calibration. This will decrease the overall error, which is depending on the devices you are using. The flowchart below describes the testing procedure used for EUT calibration.

EUT Harmonics

Setting name	Description
1. Frequency Range	The start and stop range can be set here. Also an frequency list can be added. Correction files can be used as frequency list if the correction file contains a frequency column.
2. Step	The step size can either be linear or logarithmic.
3. Test-Level	The test level can be set to a constant level. For the Variable test-level, a .cor file can also be used. This can be the same file as for the Frequency List.
4. Harmonics	The amount and type can be selected.
5. Calibration Method	Selection of 3 different methods.
6. Power meter settings	Choose the amount of samples before continuing to the next frequency.
7. Test site	For every test, a test site must be selected.

EUT calibration set up

To open the configuration of a calibration, open as showed below, make sure the correct EUT window is open, and then select from the menu:

    Calibration

       E.U.T. Calibration

          Gain Compression

Select the correct calibration file, and all the other setting will automatically be set.

The EUT calibration is performed with the same configuration settings as the system settings. This is done to insure the lowest error.

1. There is no interpolation error possible between frequency points.
2. The calibration is performed at the same signal generator level preventing extra amplitude errors.
3. Error budget calculation is possible

When no calibration file has been selected the settings can be set as desired.

Calibration of an amplifier can result in damaging the amplifier itself! We therefore suggest the following security precautions, during these type of calibrations:

• Signal power amplifier protection} should be set high enough for testing. The maximum input level is default 0 dBm when no correction file is attached to the amplifier. With a correction file the maximum input can be set higher then 0 dBm.
• Forward power amplifier protection should be used when the amplifier has an output power protection. The fail safe option is setting the limitation to the maximum and decrees this with one step size of the test. For example the limitation is set on 56,5 dBm (450 Watt) and the step size is 0.3 dB, than the limitation should be set on 56,2 dBm (420 Watt). This way the changes of the amplifier turning off during testing will become significantly smaller.
• Start level of the signal generator should be set on 20 dB lower then the lowest point specified by the manufacturer.
• Stop level of the signal generator should be the maximum input of the amplifier, most of the times this level will not be reached.

Note:

Please note that these settings are guidelines, en should be treated as such.

Reviewing measurement data

In the EUT calibration the standard deviation of the following items are calculated:

• Small signal gain power
• Compression points power

Attenuation / Gain System Calibration

Before RadiMation^® can start to determine the attenuation or gain of a system, the system need to be calibrated. Because this type of test considered to be a calibration all eut windows must be closed.

    Calibration

       System Calibration

          Attenuation / Gain

Frequency Range

Sets the frequency specification to a frequency range.

Start

Sets start frequency.

End	Sets end frequency.

Step Fixed

Sets a fixed step size from start to end frequency.

Step Previous Frequency

Sets a logarithmic step size from start to stop frequency

Starting From

Sets the start frequency for a logarithmic step from which the actual measurement frequencies will be calculated. the starting from frequency should be lower then the actual start frequency. The test will start at the first calculated frequency that is equal or higher then the specified start frequency.

Frequency list

With frequency list the operator can select a frequency list file by browsing to the file location. The frequencies inside the frequency list file will be measured.

Signal power

The setting of the signal power level during the test.

Amount of samples

The amount of samples level during the test.

Test equipment

In the test site window the test engineer can select which equipment list will be used during this test.

Test engineer

In the test engineer window, the test engineer can select its own name. The test engineer name will be stored by the test results.

Equipment icon

By clicking on the equipment icon, the equipment list can be viewed and edited.

Run Calibration

Start the configured calibration.

Cancel

Cancel the configured calibration.

Environment

Display the environment window.

Note	Display the note window.

Units

Display the Units configuration window.

Running the test

After the test initialization has been performed and passed the user will be prompt.

Connect the power sensor to the power reference and press ok. The power sensor will now be calibrated using the power reference source to make sure the power sensor is as accurate as possible.

Note:

Not all power sensors have a power reference source, in this case leave the power sensor connected to the calibration set up.

Connect the power sensor to the calibration set up and press ok.

After the calibration has been completed the user will be prompt where the calibration file needs to be saved.

Test set up

#	Device name	Tab in RadiMation® configuration window
	Signal Generator	devices 1
	Forward Power meter	devices 1

Attenuation / Gain Test

Because the determination of gain or attenuation is considered to be a test on an actual EUT, RadiMation^® needs to have an EUT window open before this test can be performed.

    Calibration

       EUT Calibration

          Attenuation / Gain

Description

Frequency Range

Sets the frequency specification to a frequency range.

Start

Sets start frequency.

End	Sets end frequency.

Step Fixed

Sets a fixed step size from start to end frequency.

Step Previous Frequency

Sets a logarithmic step size from start to stop frequency

Starting From

Sets the start frequency for a logarithmic step from which the actual measurement frequencies will be calculated. the starting from frequency should be lower then the actual start frequency. The test will start at the first calculated frequency that is equal or higher then the specified start frequency.

Frequency list

With frequency list the operator can select a frequency list file by browsing to the file location. The frequencies inside the frequency list file will be measured.

Signal power

The setting of the signal power level during the test.

amount of samples

The amount of samples level during the test

system Calibration

Test equipment

In the test site window the test engineer can select which equipment list will be used during this test.

Test engineer

In the test engineer window, the test engineer can select its own name. The test engineer name will be stored by the test results

Run Calibration

Start the configured calibration.

Cancel

Cancel the configured calibration

Limit lines

Environment

Display the environment window.

Note	Display the note window.

Units

Display the Units configuration window.

Reporting

General Info

The only selectable option is the calibration file, when another calibration file is selected the settings of this file will be displayed.

Connect the test set up and press Run Calibration.

Once the actual test has been performed the test result file can be opened in the EUT window.

Settings

Attenuation

Dynamic range

Test equipment

Test engineer

Event-list

Ok	Close the current window.

Create correction file

Create a correction file based on the test information.

Limit lines

Environment

Display the environment window.

Note	Display the note window.

Units

Display the Units configuration window.

Reporting

General Info

The ability of an EUT to be immune to incoming electromagnetic interference. This is equivalent to the term susceptibility that is used by some standards.

Power expressed in milliWatt in dB values.

• 1 mW = 0 dBm

• 2 mW = 3 dBm

• 100 mW = 20 dBm

• 1 W = 30 dBm

• 100 W = 50 dBm

Equipment Under Test

Radio Frequency

The ability of an EUT to be immune to incoming electromagnetic interference. This is equivalent to the term susceptibility that is used by some standards.

Decibel

Test Setup File

International Organization for Standardization

Uniform Field Area