Frequency Reuse Factor Calculator

Work out frequency reuse factor instantly with clear inputs, formula shown and shareable results.

About Frequency Reuse Factor Calculator

In a hexagonal cellular layout, a cluster of N cells shares the full channel set, so each cell gets total channels divided by N. The co-channel reuse distance is R x sqrt(3N), so larger clusters push interferers further away at the cost of fewer channels per cell — the fundamental capacity versus quality trade-off in frequency planning.

Formula

Frequency reuse

channels per cell = total / N; reuse distance D = R x sqrt(3N); D/R ratio = sqrt(3N)

Worked example

With the default values below, Frequency Reuse Factor Calculator returns Channels per cell of 12.0. Change any input above and every figure here is recalculated in your browser.

Inputs used

Total channels availableminimum 1: 84
Cluster size (N)accepts 1–21: 7
Sectors per cellaccepts 1–6: 3
Cell radiusminimum 0.01 km: 1.5 km

Results

Channels per cell: 12.0
Channels per sector: 4.0
Distance between co-channel cells: 6.87 km
Co-channel reuse ratio D/R: 4.58

Step by step

1Values used
2Frequency reuse
3Channels per cell= 12.0
4Channels per sector= 4.0
5Distance between co-channel cells= 6.87 km
6Co-channel reuse ratio D/R= 4.58

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Which cluster sizes are valid?

Only N = i^2 + ij + j^2 for non-negative integers, giving 1, 3, 4, 7, 9, 12 and so on. That constraint comes from the geometry of tiling hexagons.

Does 5G still use frequency reuse planning?

Not in the classic sense. OFDMA systems reuse all frequencies everywhere and manage interference through coordination and beamforming instead, which is reuse factor 1.