Hicham Bentaous

RF and microwave (to 75 GHz) calibration

Up to 75 GHz the quantities are power, attenuation, reflection, frequency and noise. Most of the uncertainty comes from connectors and mismatch, not from the instrument. This page covers coaxial and waveguide measurement from 10 MHz to 75 GHz.

Instruments and typical accuracy

InstrumentTypical rangeTypical accuracyWhere it is used
Thermistor and thermocouple power sensors10 MHz to 50 GHz, about -35 to +20 dBm1 to 3 % (about 0.05 to 0.13 dB)Reference power measurement
Diode power sensors10 MHz to 75 GHz, -70 to +20 dBm2 to 5 % plus mismatchGeneral power measurement and low levels
Microcalorimeter (primary)Coaxial and waveguideBetter than 0.5 %National institutes: sets the efficiency of sensors
Vector network analyser (VNA)10 MHz to 70 GHz and moreReturn loss and S-parameters, depends on calibrationReflection, insertion loss, phase
Step attenuator and standard attenuatorDC to 50 GHz and waveguide0.01 to 0.05 dB per 10 dBAttenuation and linearity references
Frequency counter and timebaseUp to 40 to 70 GHz directTimebase accuracy (10⁻⁹ to 10⁻¹²)Frequency of signal generators
Signal generator and spectrum analyser9 kHz to 75 GHzLevel ±0.5 to ±2 dB, frequency 10⁻⁷ to 10⁻⁹Production and general test
Noise figure meter and noise source10 MHz to 50 GHz and above±0.1 to ±0.3 dBReceiver and low-noise amplifier testing

Everything above is a typical figure. At microwave the connector and adapters add as much uncertainty as the instrument. The accuracy figures are typical ranges to help you compare instruments. Always use the specification of the instrument in front of you.

Waveguide bands up to 75 GHz

WaveguideBroad wall aStandard band (GHz)TE10 cutoff (GHz)Band letter (approx.)
WR-28472.136 mm2.6 to 3.952.08S
WR-18747.549 mm3.95 to 5.853.15C
WR-13734.849 mm5.85 to 8.24.30C
WR-11228.499 mm7.05 to 105.26X
WR-9022.86 mm8.2 to 12.46.56X
WR-6215.799 mm12.4 to 189.49Ku
WR-4210.668 mm18 to 26.514.05K
WR-287.112 mm26.5 to 4021.08Ka
WR-225.69 mm33 to 5026.34Q
WR-194.775 mm40 to 6031.39U
WR-153.759 mm50 to 7539.88V

Letter designations vary between standards (IEEE, EIA, NATO), so quote the WR number and the frequency range. Cutoff is c / 2a.

Coaxial connector families

ConnectorHighest single-mode frequencyMates with
Type N18 GHzRugged, general lab and field
7 mm (APC-7)18 GHzSexless, reference-grade metrology
3.5 mm26.5 GHzSMA compatible
2.92 mm (K)40 GHz3.5 mm and SMA compatible
2.4 mm50 GHzPrecision, mates with 1.85 mm (limited to 50 GHz)
1.85 mm (V)67 GHzMates with 2.4 mm
1.0 mm110 GHzSmallest common coax

Mating connectors of different families is only safe where the datasheet says so, and the lower-frequency one sets the limit.

Reference standards and traceability

  • Power. A calorimeter or microcalorimeter compares RF heating with DC heating, so power traces back to DC voltage, current and resistance. The calibration factor of each sensor is given against the reference at a set of frequencies.
  • S-parameters. The VNA is calibrated with a precision calibration kit (short, open, load, thru, or TRL lines in waveguide) whose definitions trace back to dimensional measurements.
  • Attenuation. Reference attenuators are calibrated with a dual-channel IF substitution or a calibrated receiver, with traceability to ratio standards.
  • Frequency. Compare the instrument with a rubidium, cesium or GPS-disciplined reference through the external timebase input.
  • Documents. IEEE 287 for precision coaxial connectors, ISO/IEC 17025 for the lab, and national guides for the uncertainty of RF measurements.

How it is calibrated

Typical procedure

  1. Warm up the instruments and the sensor for the time in the manual, and let the room be stable to ±1 °C.
  2. Inspect and clean connectors with lint-free swabs and isopropyl alcohol, and check them with a gauge.
  3. Tighten connectors with a torque wrench: typically 0.9 N·m for 3.5, 2.92, 2.4 and 1.85 mm connectors, and less for SMA.
  4. Calibrate the VNA (SOLT, TRL or LRM) at the plane of the device with the calibration kit coefficients loaded.
  5. Zero and calibrate the power meter at the 0 dBm, 50 MHz reference, then measure the source at each frequency.
  6. Measure source and sensor match, calculate the mismatch uncertainty, and add the calibration factor uncertainty.
  7. Check with a verification device (a known attenuator or mismatch standard) before and after.

Where it goes wrong

  • Dirty or damaged connectors. A bad connection can change return loss by 10 dB and cannot be calibrated out.
  • Wrong torque. Over-tightening damages the pin, under-tightening changes the contact.
  • Cable movement. Phase and loss change when flexible cables are moved after calibration.
  • Mismatch ignored. At 1.3 VSWR on both ports the power error is about ±0.15 dB.
  • Wrong adapters. A cheap adapter adds loss and reflection that were not in the calibration.

What goes in the uncertainty budget

  • Power sensor calibration factor and its uncertainty.
  • Mismatch between source and sensor (see the calculator).
  • Connector repeatability and adapter effects.
  • Linearity, noise and drift of the power meter.
  • Cable flex, temperature and frequency accuracy.

Combine the contributions as in the uncertainty budget calculator, then decide pass or fail with a guard band as explained on the calculators page.

Calculators

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