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TA to Distance Calculator

Convert 5G NR Timing Advance values to UE-gNB distance. Supports all numerologies.

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Timing Advance (TA) is how 5G NR and LTE keep UEs from different cell ranges arriving at the gNB synchronised on the air interface. The gNB measures the propagation round-trip delay and commands the UE to transmit earlier by N_TA basic time units so its uplink slots line up with everyone else's. Because TA is expressed in the basic time unit Tc (≈ 0.509 ns at μ = 0), and because the TA step scales with numerology (μ), a single TA value corresponds to different UE-to-gNB distances depending on the subcarrier spacing: ~78 m per unit at 15 kHz, ~39 m at 30 kHz, ~19.5 m at 60 kHz, and ~9.75 m at 120 kHz. This tool does the conversion in both directions — give it a TA and numerology and you get distance, or give it a distance and you get the TA value the gNB would send.

TA → Distance

Enter a Timing Advance value and numerology to get UE-to-gNB distance.

UE Distance
61.0m
≈ 0.061 km · one-way from gNB
One-way Delay
203.45ns
Distance per TA unit
0.61m

A TA of 100 at 30 kHz SCS corresponds to a UE distance of 61 m (0.06 km) from the gNB.

Distance → TA

Reverse direction: enter a UE distance to see the required TA value.

Required TA
1,640
exact: 1639.53
Round-trip Delay
6.671µs

How It Works

The formulas implemented here:

Tc = 1 / (Δf_max × N_f) = 1 / (480 kHz × 4096) ≈ 0.509 ns
t_round_trip = TA × 16 × 2^(-μ) × Tc   seconds
distance     = t_round_trip × c / 2    metres
  • μ = 0 (15 kHz SCS) → 1 TA unit ≈ 520.8 ns round-trip → 78 m one-way
  • μ = 1 (30 kHz SCS) → ≈ 39 m per TA unit
  • μ = 2 (60 kHz SCS) → ≈ 19.5 m per TA unit
  • μ = 3 (120 kHz SCS) → ≈ 9.75 m per TA unit

The MAC CE that carries the TA command is 6 bits wide in the RAR (values 0–63, coarse initial TA), and 6 bits in the TA MAC CE (−31..+32 adjustments) during connected mode. The ambiguity range of a single TA command therefore scales inversely with μ: high-band 120 kHz SCS sessions re-TA much more frequently than low-band 15 kHz sessions.

3GPP References

  • TS 38.213 §4.2 — Timing advance
  • TS 38.211 §4.1 — Basic time unit Tc = 1/(Δf_max × N_f)
  • TS 38.321 §5.2 — MAC Timing Advance Command MAC CE
  • TS 38.133 — Requirements for support of radio resource management

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