The recorded baseline is the document that settles the interference dispute you have not had yet.
Earth stations are built once and defended for years. This paper works through the measurements a field engineer actually makes, from the pre-build site survey to the interference call three years later: the link budget and where each decibel is measurable, figure of merit by the sun method, cross-polarization at line-up, spectral regrowth against back-off, and cable verification by scalar sweep. It then derives why a short swept survey is close to worthless against an intermittent interferer, and what the archived baseline is actually for.
Earth station and teleport engineers commissioning or maintaining stations. Ground segment managers specifying acceptance procedures. Interference investigators building a case that has to survive scrutiny.
The transmit path runs from the modem, along the inter-facility link, into the block upconverter whose local oscillator is locked to the station's 10 MHz reference, through waveguide to the orthomode transducer, the feed and the reflector. The receive path mirrors it through the low-noise block. Faults do not wander; each class has an address.
The reasonable first instinct is to skip all of this and let the modem tell you. It reports carrier-to-noise, it logs errors, and it is already installed. The trouble is that the modem reports one number for every fault on the chain: a wet connector, a drifting reference, a misaligned feed and an adjacent-satellite carrier all arrive as degraded carrier-to-noise, and the modem cannot separate them because it only sees what survived. It is an excellent detector of trouble and it localizes nothing. Everything below exists to turn one alarm into an address.
Figure 1 is the half of the station that weather reaches and a technician cannot. The block diagram below it draws the line every fault sits on, and the two together are the map the rest of this paper indexes: one gives the topology, the other gives the cost of getting to any point on it.
Table 1 maps Figure 2 onto the signatures each element produces when it fails.
| Element | Fault class | What it looks like on a display |
|---|---|---|
| Inter-facility cable | loss slope, water ingress, intermittent contact | level slope with frequency, standing-wave ripple, carrier jumping with vibration |
| 10 MHz reference | phase noise, harmonics | widened carrier skirts after multiplication, spurs at multiples of 10 MHz |
| Block upconverter | LO leakage, compression, spectral regrowth | discrete spur at the LO, shoulders on the carrier |
| Waveguide run | moisture, arcing, flange misalignment | resonant suck-outs in a swept trace, broadband noise under transmit power |
| Feed and orthomode transducer | depolarization, wet radome | cross-polarization discrimination degraded |
| Low-noise block | gain drift, LO unlock, saturation by an out-of-band blocker | whole-band level shift, or wideband desensitization with nothing visible in band |
The frequency plan matters because interference follows allocation. C band pairs a 5.925 to 6.425 GHz uplink with a 3.7 to 4.2 GHz downlink, Ku pairs 14.0 to 14.5 GHz with 10.95 to 12.75 GHz, and Ka pairs 27.5 to 31.0 GHz with 17.7 to 21.2 GHz. Two of those neighborhoods have become crowded: in the United States the 3.7 to 3.98 GHz segment was cleared for flexible terrestrial use and incumbent downlinks repacked into 4.0 to 4.2 GHz, and the 13.75 to 14.0 GHz uplink segment is shared with radiolocation.
The satellite link equation is short, and the interesting thing about it is how few of its terms a field engineer owns:
At a representative geostationary slant range of 38,500 kilometers, free-space loss is 196.2 dB at 4 GHz, 205.7 dB at 12 GHz and 210.2 dB at 20 GHz. Ka band pays fourteen decibels more than C band over identical geometry, and the obvious conclusion from that is the wrong one. A fixed aperture recovers all of it and more: dish gain rises as the square of frequency, so the same reflector buys fourteen decibels at each end of the link, twenty-eight in total, against the fourteen the path took. What Ka cannot recover is rain, which moves by tens of decibels in minutes, and that, not the static budget, is why Ka systems run adaptive coding rather than fixed margin.
Table 2 works a downlink budget through line by line.
| Line | Value | Where it comes from |
|---|---|---|
| Satellite EIRP toward the site | 48.0 dBW | the operator's link budget |
| Free-space loss at 12 GHz | −205.7 dB | geometry |
| Clear-sky atmosphere | −0.5 dB | gaseous plus pointing allowance |
| Earth-station G/T, 1.8 m at 150 K | +23.0 dB/K | measurable on site |
| Boltzmann term | +228.6 | physics |
| C/N0 | 93.4 dBHz | |
| Carrier at 27.5 Msym/s | −74.4 dB | 10 log of the symbol rate |
| Clear-sky C/N | 19.0 dB | supports high-order modulation with margin |
Figure of merit is receive antenna gain divided by system noise temperature, and it is measured in the field by pointing first at cold sky and then at the sun, at the same elevation, and taking the ratio of the two noise powers. That ratio, conventionally called Y, gives:
Work it once and it stops being algebra, and the beam correction is where the intuition breaks. A 9 m Ku station measured at 12 GHz has a wavelength of 24.98 mm and a half-power beamwidth near 70λ/D = 0.194 degrees. The sun subtends about half a degree, so it overfills that beam and the correction is large: L = 1 + 0.38(0.5 / 0.194)2 = 3.52. With a measured Y of 263, a 24.2 dB rise between cold sky and the sun, and a solar flux of 1,000 flux units at 12 GHz, which is 10−19 W per square meter per hertz, 8πk(262)(3.52) / (6.24 × 10−4 × 10−19) = 5,120, or 37.1 dB/K.
Run the same measurement on the 1.8 m station in Table 2 and the numbers move the other way. Its beam is 0.97 degrees, so the sun now underfills it, the correction falls to 1.10, and a Y of 33.6 returns 199, or 23.0 dB/K, which is the figure that budget assumed. The two stations differ by 14 dB of figure of merit and by a factor of three in their beam corrections, and it is the correction, not the ratio, that field measurements most often get wrong. Measuring rather than assuming is a two-hour job with no test equipment beyond the analyzer already on the site.
Two practical notes carry more weight than the algebra. Flux interpolation and the beam correction dominate the uncertainty, so a realistic field claim is a few tenths of a decibel rather than hundredths. And the measurement should be made above about twenty degrees of elevation, so that the atmosphere is comparable between the hot and cold looks.
Most interference is continuous, and continuous interference is easy: adjacent-satellite carriers, cross-polarization, a terrestrial link in the band, the station's own intermodulation products. Point an analyzer at it and it is there. The cases that consume months are the intermittent ones, and against those a short swept survey is close to worthless.
A swept analyzer covering span S at resolution bandwidth B listens to any one frequency for the fraction B over S of each sweep. For an interferer of burst length tau and period Tp, the probability of catching it on one sweep is the overlap of the dwell and the burst, and detection over an observation window follows the usual geometric law:
Take a rotating maritime radar in the shared Ku uplink segment: twenty revolutions per minute, so a three second period, and a 1.2 degree beam, so ten milliseconds of illumination each turn. Against a 500 MHz survey at 300 kHz resolution sweeping every 150 milliseconds, the dwell in the affected cell is 90 microseconds and the single-sweep probability works out at three and four tenths parts in a thousand.
A one minute survey catches that radar three times in four, and ninety-five percent confidence arrives at two and a quarter minutes. The radar is the easy case: it fires for ten milliseconds in every three seconds. An arcing connector firing for forty milliseconds every thirty seconds needs five and a half minutes for the same ninety-five percent, and a five millisecond burst arriving once a minute needs an hour and a half. Between those three the duty cycle moves by a factor of forty and the survey duration moves with it, so booking a site visit by the hour and hoping is not a procedure.
Figure 3 makes the case for engineering the survey rather than scheduling it. Two honesty clauses belong with it. The derivation assumes independence between sweeps, and if the revisit happens to be commensurate with the interferer's period the sweep can alias and systematically never see it. And max-hold across many sweeps does raise the catch probability exactly as the formula says, but it destroys the timing information: max-hold tells you that something happened, never when, and cannot separate two intermittent sources.
Sections 1 to 3 are a criterion. Table 3 states it as four requirements a reader can score any instrument against, and they are deliberately unglamorous: none of them is a sensitivity figure, because sensitivity is not what fails a ground-segment measurement.
| # | Requirement | Derived value | Published |
|---|---|---|---|
| R1 | Continuous observation matched to the suspected duty cycle | 5.6 min for a 40 ms burst every 30 s at 95 percent, from Eq. 3 | Max hold and real-time density; no time limit published |
| R2 | Bounded amplitude accuracy across the band actually in use | ±3 dB or better through Ka | ±2.0 dB to 9.5 GHz; ±3.0 dB above, which is where Ku and Ka sit |
| R3 | An analyzer timebase better than the reference it is asked to judge | 20 log(1,305) = 62.3 dB is added between a 10 MHz reference and a 13.05 GHz LO, derived in §4 | −107.5 dBc/Hz at 1 GHz, 10 kHz offset; TCXO < 1 ppm, OCXO option < 0.15 ppm; external reference input |
| R4 | A recorded baseline that outlives the engineer who took it | state, trace and conditions together, not a screenshot | IQ record and playback, amplitude correction, offset tables |
Commissioning is a sequence, and each step produces a record that has to survive being read by somebody hostile three years later.
Interference claims arrive months later as an assertion that your station is degrading a transponder. The commissioning file is the only timestamped, instrument-traceable evidence of the station's compliant state. Measured discrimination at line-up rebuts a depolarization accusation. The archived transmit spectrum against the mask rebuts a regrowth accusation. A site survey showing a pre-existing emitter turns your problem into the neighborhood's. Without a baseline the argument is the operator's monitoring data against nothing, and nothing loses every argument it is ever in.
Figure 4 is the paper's argument in one picture, and it is worth reading in the right-hand column first. Each accusation in that column arrives as an assertion from a party with its own monitoring data and no obligation to share it. The only reply that changes the outcome is a measurement that already existed before the dispute did, which is why the instrument on site has to be one whose numbers survive being quoted back years later.
Phase noise multiplies. A Ku block upconverter locked to the station's 10 MHz reference multiplies it by 1,305 to reach a 13.05 GHz local oscillator, and phase noise rises by twenty times the log of that ratio, which is 62.3 dB. A mediocre reference that looks harmless at 10 MHz is fatal at 14 GHz, and the symptom is a modem that locks at low order modulation and refuses at high order while every level on the analyzer looks correct.
Figure 5 is the measurement to take before the block upconverter is blamed, and it also shows how the penalty scales with where the chain starts. Carried from 1 GHz to 13.05 GHz the multiplication is only 13.05 times, or 22.3 dB, so this source would land at −102.6 dBc/Hz at 10 kHz offset, which a high-order modem will just about live with. Start instead at the station's 10 MHz reference and the multiplication is 1,305 times, or 62.3 dB, so a reference sitting at −120 dBc/Hz at 10 kHz arrives at −57.7 dBc/Hz and nothing high-order will hold lock. Where the chain starts decides how much of it survives. The 710 parts per billion carrier offset is the second thing to read: at 13.05 GHz that same fractional error is 9.3 kHz of absolute frequency error, and a receiver's acquisition range is a specification with a number in it.
Back-off is the cheapest fix in the chain, and it is not free. Every decibel of back-off is a decibel off the link's carrier-to-noise, so it is cheap only where the margin exists to spend, and one decibel can be the one that drops the modulation order. Third-order regrowth on a nonlinear amplifier rises roughly three decibels for every decibel of drive, so it falls three decibels for every decibel of output back-off. When the shoulders fail the operator's mask, one decibel of back-off usually costs less than anything else on the site.
Figure 6 is what the operator's engineer will be shown three years later, so the sweep behind it wants its resolution bandwidth, video bandwidth, detector and reference level recorded alongside it. A mask plot with unstated settings proves nothing about the shoulders it appears to clear.
A tracking generator turns an analyzer into a scalar transmission set, which is enough for most of what goes wrong outdoors. Insertion loss should rise smoothly with the square root of frequency; a wet connector adds disproportionate loss at the high end and, more usefully, puts periodic ripple on the trace. That ripple is a tape measure: the distance to the reflection follows from the spacing between successive ripple peaks.
Table 4 converts between the quantities a field engineer reads and the loss they imply.
| Return loss | Reflection coefficient | VSWR | Mismatch loss |
|---|---|---|---|
| 26 dB | 0.050 | 1.11 | 0.011 dB |
| 20 dB | 0.100 | 1.22 | 0.044 dB |
| 14 dB | 0.200 | 1.50 | 0.18 dB |
| 9.5 dB | 0.335 | 2.01 | 0.52 dB |
One caution before this goes into a procedure. Tracking generator availability varies by model and is not listed on the current handheld or rugged datasheets, so confirm it for the unit you have. Where the analyzer cannot supply the stimulus, an external source stepped in synchronism does the same job with more setup and the same arithmetic.
One pattern is worth reporting from stations already in service. Instruments of this class get specified against the maintenance workload rather than the commissioning one, which inverts what the datasheet comparison usually optimizes for. Commissioning is a scheduled day with the operator on the line and the good reference in the rack; maintenance is an unscheduled afternoon in weather with whatever is in the van, and it is where the recorded baseline of section 4 either exists or does not. The stations that resolve interference quickly are not the ones with the best instrument. They are the ones that recorded what good looked like.
Table 5 collects the governing relations and published values with their conditions.
| Quantity | Relation or value | Condition |
|---|---|---|
| Link equation | EIRP − Lfs − Latm + G/T + 228.6 | C/N0 in dBHz |
| Free-space loss to GEO | 196.2 / 205.7 / 210.2 dB | 4 / 12 / 20 GHz at 38,500 km |
| Figure of merit | 8πk(Y − 1)L / λ2F | sun method, above 20 degrees elevation |
| Reference multiplication | 20 log10(N) | +62.3 dB for a 13.05 GHz LO from 10 MHz |
| Regrowth against back-off | about 3 dB per dB | third-order products |
| Distance to reflection | vf c / 2Δf | from swept-trace ripple spacing |
| Amplitude accuracy | ±2.0 dB to 9.5 GHz; ±3.0 dB above | 25 °C, 10 min warm-up |
| Phase noise, 1 GHz at 10 kHz | −107.5 dBc/Hz | ICX-400 family |
| Instrument values from the ICX-FieldHawk datasheets. Link and budget figures are worked examples, not a specific operator's numbers. | ||
For selection, the frequency plan decides it, and the boundary falls lower than most people expect. A C-band-only station is covered by the 9.5 GHz ICX-FieldHawk tier, because its uplink stops at 6.425 GHz. A Ku station does not: its downlink starts at 10.95 GHz and its uplink runs to 14.5 GHz, so Ku and Ka both need the 40 GHz tier. Amplitude accuracy loosens from plus or minus 2.0 dB to plus or minus 3.0 dB above 9.5 GHz, which is inside Ku, so a Ku or Ka commissioning file carries the looser figure and the report should say so.
| Symbol | Meaning | Units |
|---|---|---|
| Y | Sun to cold-sky noise power ratio | linear |
| F | Solar flux density | W m−2 Hz−1 |
| Lfs | Free-space path loss | dB |
| τ, Tp | Interferer burst length, period | s |
| Δf | Frequency spacing between adjacent ripple peaks | Hz |
If you are writing an acceptance procedure or preparing an interference case and want the survey duration engineered against the interferer you actually suspect, our application engineers would be glad to work through it with you.
The following values in this paper are not yet confirmed against a published Berkeley Nucleonics datasheet and are marked verify in the text. They must be confirmed before this paper is released.