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Standards

Spectrum models (1900.5.2)

A frequency assignment tells you a frequency, a place and a time. It doesn't tell you how much energy spills next door, or how much a receiver can take before it fails. IEEE 1900.5.2 spectrum consumption models capture both, for any transmitter, receiver or system, in a form machines can compare.

What a model says

A transmitter's model says how much energy it puts out, at which frequencies, in which directions, where and when. A receiver's model says how much interference it can take at each frequency, where and when. Put the two side by side and you can answer the question every spectrum manager asks: will these two work together?

A transmitter model and a receiver model, compared to decide whether they are compatible Transmitter model Reference power the power everything else is relative to Spectrum mask how the energy spreads across frequency Power map antenna gain by direction Propagation map how fast the signal falls off with distance Location, platform, schedule where, on what, and when Receiver model Underlay mask interference it tolerates at each frequency Intermodulation mask how mixed signals hurt it Minimum signal level the wanted signal it needs Policy or protocol rules it follows, such as listen first Location, platform, schedule where, on what, and when energy that arrives Compatible? arriving energy stays under the underlay mask, everywhere wherever and whenever both are active
Two models side by side answer "will these two work together?"

Masks, in one picture

A receiver's underlay mask with one transmitter's arriving energy beneath it and another's crossing it frequency power underlay mask A B
A stays under the mask and causes no harm. B pokes through it in the receiver's own channel.

The underlay mask is the receiver's vulnerability: how much interference it can take at each frequency. It is lowest in the receiver's own channel and rises off to the sides, where the receiver's filter rejects energy. The transmitter's spectrum mask, carried to the receiver by the link budget, has to stay under it.

Transmitter A is off-channel and well under the line. Transmitter B lands in the receiver's channel and crosses it. How far B crosses is the power margin, and the fixes are to retune, move, cut power or schedule the two apart until the margin is gone.

Power margin

Power margin is the number NEMESynth-EMSO's spectrum decisions turn on. It is the amount, in dB, by which the interference a receiver would get exceeds what its underlay mask allows. At 0 dB or below, the two systems are compatible. Above 0 dB, it says how much has to change: a margin of 8 dB is 8 dB of separation, filtering, power or antenna gain to find.

The standard computes it in two settings:

The link budget that scales the masks

TermWhere it comes from
Reference powerThe transmitter model: the power its spectrum mask is relative to
Transmit antenna gain toward the receiverThe transmitter's power map, by azimuth and elevation, down-tilt included
Path lossThe propagation map chosen for the pair
Receiving antenna aperture10 log(λ²/4π), converting the field at the receiver to received power
Receive antenna gain toward the transmitterThe receiver's power map

Both models carry a propagation map, so each pair has to choose one. Conservative, the default, takes the map that predicts the least loss, and so the most separation. Receiver dominant uses the receiver's map when the receiver marks it dominant. Optimistic uses whichever map is marked dominant and, when both are, the one that predicts the most loss, for the most reuse. Which approach an enterprise uses is a policy decision, and it changes the answer.

Two ways to compute it

Each underlay mask names the method that applies to it.

Total powerMaximum power spectral density
What the receiver allowsThe total power under the underlay mask within its lowest 3 dB, integrated across frequencyThe mask's level at each frequency, as a ceiling
How an interferer is judgedIts spectrum mask is reshaped by the underlay mask, used as the receiver's filter, then integrated to a received interference powerIts spectrum mask is lowered until it just touches the underlay mask at a control point, both at the same resolution bandwidth
Power marginInterference power minus allowed interferenceHow far the mask had to be lowered
Several interferersTheir interference powers add in watts, and the sum must stay under the allowed interferenceEach is judged on its own: the mask's level already allows for aggregate interference
Power margin by the maximum power spectral density method: the interferer's mask is lowered until it touches the underlay mask, and the distance lowered is the margin frequency power underlay mask interferer, as received lowered until it touches power margin
Lower the interferer's mask until it just touches the receiver's underlay mask. The distance it moved is the power margin; above 0 dB they are not compatible.

Why aggregate interference is a mean power

When several signals reach a receiver at once, their fields add with their phases. Two equal signals in phase give four times the power of one; out of phase, they cancel. Each signal's phase depends on its path length to within a fraction of a wavelength.

Positions are never known that well. An SFAF coordinate is given to the second of arc, about 30 m. GPS on a platform is good to a few metres, and a mobile or area assignment is only a radius. A wavelength is 10 m at 30 MHz, 1 m at 300 MHz and 10 cm at 3 GHz. The interferers' relative phases can't be known, so the model treats them as random.

With random phases, the expected power of the sum is the sum of the powers: the interferers add in watts. That is the mean power. NEMESynth-EMSO computes aggregate interference this way, and 1900.5.2's total power method sums the same way. The instantaneous power swings around the mean, up to N times it when N equal interferers happen to line up. That swing is fading, and the receiver's fade margin is there to cover it.

The receiver's vulnerability masks

A receiver model can carry several underlay masks, because a receiver tolerates some kinds of interference better than others. The margin uses the least restrictive mask whose conditions the interferer meets.

Masks can carry a confidence rating too, so a set of them describes how the tolerable interference is distributed instead of drawing one line.

The interferer's power masks

On the transmitter side the spectrum mask gives the signal's power density across frequency, relative to the reference power, and the power map gives its antenna gain by direction. A spectrum mask can describe a continuous signal, pulses or frequency hops. For a hopping signal, the duty cycle inside the receiver's band comes from its dwell time, its revisit period and the share of its hop frequencies that land in that band.

Prediction and 1900.2

IEEE 1900.2 is the analysis the margin belongs to. Its measurement events can be measured or calculated, and the first of its harmful-interference categories, conceivable interference, is established by analysis alone. A power margin computed from two models is a calculated measurement event. Whether a positive margin makes an interference event, and how many make harmful interference, are criteria the analysis has to state and justify. 1900.2 also asks who owns a receiver's protection margin, the decibels it keeps against fading: the receiver, or the interferers that would like to use it.

Where and when

Models carry their own geography and schedule: a point, a circle around it, a polygon for an area of operations, or a path for a convoy or an aircraft. A schedule says when the model applies.

Location forms: point, circle, polygon and path, and a schedule Point Circle Polygon Path Schedule

In NEMESynth-EMSO

SFAF says what was authorized. Spectrum models say what that authorization means for everyone else nearby. NEMESynth-EMSO computes margins today from SFAF records and link budgets, and will compute them from the models' masks as SFAFx carries them. 1900.5R uses the same terms for spectrum use at every level.

FeatureStatus
Interference-to-noise for every pair from link budgets (ITM over terrain, antennas, bandwidth-overlap rejection), as conflicts for the optimizerBuilt
Aggregate interference at each receiver, summed in watts, enforced in the allocationBuilt
Each PACE step's link margin against its required margin, on the exercise clockBuilt
Spectrum models carried with assignments in SFAFxDraft
Power margin from spectrum and underlay masks, by total power and maximum power spectral density, in place of bandwidth overlapPlanned
Rated underlay masks (duty cycle, hopping, protocol) and intermodulation masksPlanned
Compatibility checked model against model before an assignment is issuedPlanned

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