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Intermodulation & Frequency Plan Validation

Finding, diagnosing and avoiding intermodulation on shared radio sites: where products land and how strong they are, receiver datasheet figures, what RALI LM 08 checks and what it leaves to you, PIM and site hardware, and clean frequency-plan design with a hands-on lab.

Level
Intermediate
Delivery
Self-paced online
Units
21
Assessment
140 marks, 70% to pass

What you will be able to do

  • Work out where intermodulation products fall for any set of carriers
  • Explain why third-order products land on working channels and why equal channel spacing makes it worse
  • Use the third-order intercept point to predict product levels and decide whether filtering will fix a problem
  • Tell transmitter intermodulation from receiver intermodulation, and place the fix where the mixing happens
  • Separate intermodulation from blocking, reciprocal mixing, adjacent-channel noise and the image response on site, and place the fix with whoever actually owns it
  • Read the intermodulation, blocking and spurious response figures on a radio datasheet against the ETSI standards behind them, one of which Australia’s equipment rules adopt
  • Apply the RALI LM 08 Annex D checks, and know what they assume and what they do not check
  • Validate a multi-carrier frequency plan and justify the channels you propose

Syllabus

  1. 1 What intermodulation is Reading · 14 min Free preview
  2. 2 Where the products land Reading · 16 min
  3. 3 Product arithmetic Questions · 16 min · graded
  4. 4 Levels: IP3 and the 3 to 1 rule Reading · 15 min
  5. 5 Level calculations Questions · 12 min · graded
  6. 6 Dynamic range: SFDR and the second order Reading · 14 min
  7. 7 The receive chain: where noise and linearity fight Reading · 15 min
  8. 8 Direction: who makes it and who suffers Reading · 14 min
  9. 9 Desensitisation: the other ways a receiver goes deaf Reading · 22 min
  10. 10 Site architecture: where the fix goes Reading · 17 min
  11. 11 Channel sets that cannot make products Reading · 16 min
  12. 12 Lab: plan three clean channels Lab exercise · 35 min · graded lab
  13. 13 Coordination judgement Questions · 18 min · graded
  14. 14 PIM in the field Reading · 13 min
  15. 15 What the ACMA actually requires: RALI LM 08 Annex D Reading · 20 min
  16. 16 Measuring intermodulation Reading · 21 min
  17. 17 Mixer spurs: the family that gets mistaken for intermodulation Reading · 13 min
  18. 18 Check: the rulebook, the bench and the hardware Questions · 16 min · graded
  19. 19 The coordination record Reading · 13 min
  20. 20 On site: a tower walk and seven deaf receivers Reading · 22 min
  21. 21 Final assessment: diagnosis and practice Questions · 28 min · graded

Read the first unit

Free, no account needed

What intermodulation is

Intermodulation is the one interference problem a site creates entirely for itself. Nothing is faulty, every licence is in order, every radio meets its specification, and the site still cannot hear. This unit is about why that happens, and why it cannot be fixed at the receiving end.

The mechanism

A perfectly linear device produces an output that is a scaled copy of its input. Real devices are never quite linear. At high signal levels an amplifier compresses, a mixer has curvature by design, and even a metal joint can behave non-linearly. Any of these acts as a weak mixer.

Feed one signal into a non-linear device and you get harmonics, at two, three and more times the original frequency. Those are usually easy to filter, because they sit far from the wanted band. Feed in two or more signals and the device also produces sums and differences of them, and some of those land right next to, or on top of, the original carriers.

Goes in
f₁ = 450.000 MHzTransmitter A
f₂ = 450.025 MHzTransmitter B
Passes through
A slightly non-linear deviceA compressing PA, a receiver front end, or a corroded joint in the antenna system
Comes out
f₁, f₂the two carriers, unchanged
2f₁, 2f₂, 3f₁ …near 900 and 1350 MHz, filterable
f₂ − f₁ = 25 kHz2nd order, nowhere near the band
f₁ + f₂ = 900.025 MHz2nd order, filterable
2f₁ − f₂ = 449.975 MHz3rd order, one channel belowthe problem
2f₂ − f₁ = 450.050 MHz3rd order, one channel abovethe problem
What you asked for Intermodulation product Harmonic
Two signals in, a dozen out. Most are harmless because of where they land. The two marked in red sit one channel either side of the pair, which on a real band plan is somebody else’s working frequency.

For two carriers at f₁ and f₂, products appear at every combination of:

Intermodulation products, two carriersf_IM = m · f₁ ± n · f₂
The order of a product is m + n. Both m and n are positive integers.

Where the orders come from

The output of a real device can be approximated as a power series of its input:

V_out = a₁·x + a₂·x² + a₃·x³ + …
a₁·x is the linear gain you want. Everything after it is distortion.

Each term produces its own family of products. The squared term generates the second-order sums and differences. The cubed term generates the third-order products, and because it multiplies three copies of the input, those products grow on a 3 to 1 slope with drive level. Higher terms carry on up the series, each weaker than the last.

OrderFromExampleWhere it landsCoordination risk
2nda₂·x²f₁ + f₂, f₂ − f₁Far from the band: near DC, or near twice the carrierLow. A band-pass filter removes it
3rda₃·x³2f₁ − f₂, f₁ + f₂ − f₃One channel spacing outside the pair, or anywhere for a triple beatHighest. Lands on working channels and cannot be filtered
5tha₅·x⁵3f₁ − 2f₂Two spacings outside the pairReal on high-power, many-carrier sites
7th and uphigher terms4f₁ − 3f₂Further out againUsually below the noise floor, but check on dense sites
Odd orders are the problem, because only they land near the carriers. In a narrowband system, even orders fall far away and filter out. Unit 6 covers the wideband case where they do not.

Why it cannot simply be filtered out

This is what makes intermodulation different from almost every other interference problem, and it is the reason coordination exists.

That leaves exactly three things you can do, and the rest of this module is about choosing between them:

  1. Stop the mixing. Keep the carriers out of each other with isolators, cavity filters and physical separation, so the non-linear device never sees two strong signals at once.
  2. Move the product. Change a frequency so the product lands where nobody is listening. This is what frequency planning is, and it is usually the cheapest fix at design time.
  3. Lower the product. Reduce the drive into the non-linear device, which works three times harder than it sounds because of the 3 to 1 slope.

Active and passive

Intermodulation splits into two families. The frequency arithmetic is identical for both, which is why this module treats them together. The causes and the cures are completely different, which is why they have separate names.

Active intermodulation
Mixing in a powered device driven beyond its linear range. Transmitter power amplifiers fed more than one carrier, and receiver front ends hit by strong off-channel signals, are the classic sources.
Predictable from the third-order intercept point, which is covered later in this module. Cured with filtering, isolation and a more linear front end.
Passive intermodulation
Mixing in an unpowered part. A loose, corroded or magnetic joint in a connector, cable or antenna behaves like a tiny diode and mixes anything that passes through it.
Also called PIM. Not predictable from a datasheet, because it depends on the mechanical condition of the site. Cured by finding and remaking the joint. RALI LM 08 section 6.5.1 recognises mixing in passive parts such as couplers, isolators and mechanical or structural joints.

What it costs when it goes wrong

It is worth being concrete about the consequence, because intermodulation is easy to treat as a theoretical concern until it is not. A product landing on a receive channel raises the effective noise floor on that channel. The receiver does not fail, and it reports no error. It simply stops hearing weak signals.

On a land mobile network that shows up as mobiles dropping out at the edge of coverage, which gets diagnosed as a coverage problem and answered with more sites. On a safety-critical network it shows up as a call that did not get through. The frequency plan was approved, the licence is current, and the equipment meets its specification.

Sort it

Near the carriers, or far away?

Two transmitters at 450.000 and 450.025 MHz. For each product, decide where it lands. Work out m · f₁ ± n · f₂ if you need to.

Card 1 of 6

2f₁ − f₂

0 right so far

The remaining 20 units cover Where the products land, Product arithmetic, Levels: IP3 and the 3 to 1 rule and more.

How it works

  1. Read each unit at your own pace, on any device. Progress is saved to your account.
  2. Answer the graded questions. You can re-sit any unit, and your best attempt counts.
  3. Do the lab exercises in the real noIM₃ tools, on real scenarios.
  4. Pass the module and a certificate of completion is issued with a verifiable serial.

This is professional development, not a nationally recognised qualification. noIM₃ is not a registered training organisation.