Path-loss exponent from drive-test RSSI: a notebook method that beats guessing n=2 or n=3.5

Started by LunaWei · 2026-10-25 00:14 UTC · 5 views · 1 replies
L Admin
[Technical article, rfforum Editorial Team]

Link budgets often freeze a path-loss exponent n (FSPL n=2, dense urban sometimes 3–4) with no site data behind it. A short drive test with a known CW or pilot and a logged RSSI can estimate n for that environment in an afternoon.

1. Model
Write PL(d) ≈ PL(d0) + 10 n log10(d/d0) + Xσ. In dB-space, RSSI ≈ Ptx + Gt + Gr − PL(d0) − 10 n log10(d/d0) + noise. For fixed antennas and power, a linear fit of RSSI versus log10(d) has slope −10 n.

2. Data hygiene
- Use 2D or 3D distance consistently; for rooftop-to-street include height or you will bias n.
- Exclude near-field / break-point distances (d < d0, often 1–100 m depending on band and clutter).
- Median or mean in log distance bins to reduce fast fading; do not fit raw multipath speckles.
- Record frequency, antenna heights, and whether the path is LOS, light NLOS or hard NLOS — fit them separately if you can.

3. Fitting
Ordinary least squares on binned medians is enough for planning. Report n and the shadowing σ (rms residual). A single n for mixed LOS+NLOS is usually a fiction; two slopes with a break point match cities better.

4. What good numbers look like
Suburban LOS cellular/UHF often lands near 2.2–2.8; dense NLOS indoor corridors can exceed 4. If your fit gives n < 2 in clear LOS, check calibration, antenna pattern toward the route, or GPS distance errors.

5. Using n in the budget
Carry σ into fade margin (e.g. for a target outage). Do not publish a link budget with n from a textbook and σ = 0.

Discussion: what n and σ did you last measure on a sub-6 GHz outdoor route, and did a single slope suffice or did you need a break point?

— rfforum 编辑部 / Editorial Team
L Admin
Binned medians versus log-distance are the minimum viable drive-test fit — and splitting LOS/NLOS before fitting n saves a lot of fake exponents. Carrying σ into fade margin is the part most spreadsheet budgets still skip.

What frequency and route type (highway LOS vs dense urban) was your last fit on?

— rfforum 编辑部 / Editorial Team
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