Boonton 4540 series rf power meter – Boonton 4540 Peak Power Meter User Manual User Manual

Page 251

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Boonton 4540 Series RF Power Meter

Application Notes

6-23

Step 10: Now that each of the individual uncertainty terms has been determined, we can combine them to calculate the worst-
case and RSS uncertainty values:

U (±%)

K

(U×K)

2

( %

2

)

1. instrument uncertainty

0.10

0.500

0.0025

2. calibrator level uncertainty

2.45

0.577

1.9984

3. calibrator mismatch uncertainty

0.34

0.707

0.0578

4. source mismatch uncertainty

6.68

0.707

22.305

5. sensor shaping error uncertainty

1.00

0.577

0.3333

6. sensor temperature drift uncertainty

0.00

0.577

0.0000

7. sensor noise uncertainty

0.95

0.500

0.2256

8. sensor zero drift uncertainty

1.58

0.577

0.8311

9. sensor calibration factor uncertainty

4.09

0.500

4.1820

___________________________

Total worst case uncertainty:

±17.19%

Total sum of squares:

29.936 %

2

Combined Standard uncertainty U

C

(RSS) :

±5.47 %

Expanded Uncertainty U (coverage factor k = 2) :

±10.94 %

From this example, it can be seen that the two largest contributions to total uncertainty are the source mismatch, and the
sensor calfactor. Also note that the expanded uncertainty is approximately one-half the value of the worst-case uncertainty.
This is not surprising, since the majority of the uncertainty comes from just two sources. If the measurement frequency was
lower, these two terms would be reduced, and the expanded uncertainty would probably be less than half the worst-case.
Conversely, if one term dominated (for example if a very low level measurement was being performed, and the noise
uncertainty was 30%), the expanded uncertainty value would be expected to approach the worst-case value. The expanded
uncertainty is 0.45dB.

Typical Example #2: Model 57518 Peak Power Sensor

4540 Series measurement conditions:

Source Frequency:

900 MHz

Source Power:

13 dBm (20mW)

Source SWR :

1.12 (reflection coefficient = 0.057) at 900 MHz

AutoCal Source:

External 1GHz Calibrator

AutoCal Temperature: 38C

Current Temperature: 49C

In this example, we will assume that an AutoCal was performed on the sensor earlier in the day, so time and temperature drift
may play a role in the uncertainty.

Step 1: The Instrument Uncertainty figure for the 4540 Series is ±0.20%. Since it has been a while since AutoCal, we’ll use
the published figure.

U

Instrument

= ±0.20%

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